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                Tsvi Piran      gr-qc/9607021      etc.


£±. °ÂÌ»Ë Å칩ÂçºÙ롦Àи¶¸¦ M1 £². Quantum nucleation of topological defects during inflation £³. topological defects,quantum-mechanical tunneling,inflation £´. ---------------------------------------------------------------------- ½é´ü±§Ãè¤Ë¤ª¤±¤ë±§Ãè¤Î»Ø¿ô´Ø¿ôŪËÄÄ¥¤òµ­½Ò¤¹¤ë¥¤¥ó¥Õ¥ì¡¼¥·¥ç¥ó¤Ï¡¢±§ ÃèÏÀ¤ÎʿóÀ­ÌäÂê¤äÃÏÊ¿ÀþÌäÂê¤Ê¤É¤ò²ò·è¤¹¤ë¡£¥¤¥ó¥Õ¥ì¡¼¥·¥ç¥ó¤Ëȼ¤¦Áêž °Ü¤Ë¤è¤Ã¤Æ¡¢¥É¥á¥¤¥ó¡¦¥¦¥©¡¼¥ë¤ä¥³¥¹¥ß¥Ã¥¯¡¦¥¹¥È¥ê¥ó¥°¤È¤¤¤Ã¤¿°ÌÁê·ç´Ù ¤¬À¸¤¸¤ë¤È¹Í¤¨¤é¤ì¤Æ¤¤¤ë¤¬¡¢¤³¤ì¤é¤Î°ÌÁê·ç´Ù¤Î¸ºß¤Ï¡¢±§Ãè¤ÎȯŸ¤ËÂ礭 ¤Ê±Æ¶Á¤òµÚ¤Ü¤¹¡£¤³¤³¤Ç¤Ï¡¢¥É¥á¥¤¥ó¡¦¥¦¥©¡¼¥ë¤ä¥³¥¹¥ß¥Ã¥¯¡¦¥¹¥È¥ê¥ó¥°¤Ê ¤É¤Î°ÌÁê·ç´Ù¤¬¡¢ÎÌ»ÒÎϳØŪ¥È¥ó¥Í¥ë¸ú²Ì¤Ë¤è¤Ã¤Æ¥¤¥ó¥Õ¥ì¡¼¥·¥ç¥ó¤Î´Ö¤Ë·Á À®¤µ¤ì¤¦¤ë¤³¤È¤ò¡¢Îشľõ¤Î¥¹¥È¥ê¥ó¥°¡¢µåÂоΥɥᥤ¥ó¡¦¥¦¥©¡¼¥ë¤È¤¤¤Ã¤¿ ¶ñÂÎŪ¤Ê¥â¥Ç¥ë¤ÇÏÀ¤¸¤ë¡£¤³¤³¤Ç¤Ï¡¢°ÌÁê·ç´Ù¤ÎÀ¸À®²áÄø¤Ë¤ª¤¤¤Æ¡¢¤½¤ì¼«¿È ¤Î½ÅÎÏŪ¸ú²Ì¤ò̵»ë¤·¤¿¾ì¹ç¤È¤½¤Î¸ú²Ì¤ò´Þ¤á¤¿¾ì¹ç¤È¤Ëʬ¤±¤ÆÀâÌÀ¤¹¤ë¡£¤½ ¤·¤Æ¡¢À¸À®¤µ¤ì¤¿°ÌÁê·ç´Ù¤Ë¤Ä¤¤¤Æ¸ÅŵŪ»þ´ÖȯŸ¤ª¤è¤Ó±§ÃèÏÀŪ°ÕµÁ¤òÏÀ¤¸ ¤ë¡£ --------------------------------------------------------------------- £µ. R.Basu, A.H.Guth, and A.Vilenkin, Phys. Rev. D44, 340(1991).
£±¡¥»á̾¡¤½ê°¡¤³Øǯ¡¿Àî¼ ¹ä¡Ê¤«¤ï¤à¤é ¤´¤¦¡Ë ¿·³ãÂç³Ø±§ÃèʪÍý³Ø¸¦µæ¼¼ £Í£² £²¡¥È¯É½¥¿¥¤¥È¥ë¡¿For Obtaining Interior Solutions of the Kerr Metric £³¡¥È¯É½ÆâÍƤ˴ؤ¹¤ë¥­¡¼¥ï¡¼¥É¡¿the Kerr metric,interior solution, the Newman-Janis algorithm, boundary conditions,a trial solution £´¡¥È¯É½ÆâÍƤΥ¢¥Ö¥¹¥È¥é¥¯¥È¡¿ EinsteinÊýÄø¼°¤Ë¤è¤êÅ·ÂΤ¬·ÁÀ®¤¹¤ë½ÅÎϾì¤Î²ò¤ò¹Í¤¨¤ë¾å¤Ç¡¤Å·ÂÎÆâÉô¤Ç ¤Î²ò¤ËÃíÌܤ¹¤ë¤³¤È¤Ï¡¤°ìÈÌÁêÂÐÏÀ¤ÎΩ¾ì¤«¤éÅ·ÂΤΥâ¥Ç¥ë¡¤ÆâÉô¹½Â¤¡¤¿¶Éñ Åù¡¤Å·ÂΤδðËÜŪÀ­¼Á¤òÄ´¤Ù¤ë¾å¤Ç¿¿¶õÃæ¤Ç¤Î²òƱÍÍ¡¤¹Í»¡¤µ¤ì¤ëÆâÍƤǤ¢¤ë ¤È»×¤ï¤ì¤ë¡£Æäˡ¤°ìÄê¤Î³ä¹ç¤Ç²óž¤·¤Æ¤¤¤ëÅ·ÂΤ¬·ÁÀ®¤¹¤ë»þ¶õ¤ËÁêÅö¤¹¤ë¡¤ Kerr»þ¶õ¤Î¾ì¹ç¤ò¹Í¤¨¤ë¡£KerrÆâÉô²ò¤òµá¤á¤ë¤³¤È¤Ï¡¤SchwarzschildÆâÉô²ò ¤Î¾ì¹ç¤ËÂФ·¤Æ¡¤ÂоÎÀ­¤¬£±¸Ä¾¯¤Ê¤¤¤¿¤á¡¤¤µ¤é¤ËÂçÊѤʤ³¤È¤Ç¤¢¤ë¡£½¾¤Ã¤Æ¡¤ KerrÆâÉô²ò¤òµá¤á¤ë¤¿¤á¤ËÍÍ¡¹¤Ê¥¢¥×¥í¡¼¥Á¤¬¤Ê¤µ¤ì¤Æ¤¤¤ë¤è¤¦¤Ç¤¢¤ë¡£ º£²ó¤Ï¡¤Drake,Turolla Åù¤ÎÏÀʸ¤«¤éKerrÆâÉô²ò¤òµá¤á¤ë²áÄø¤ò¾Ò²ð¤¹¤ë¡£ ¡¦KerrÆâÉô²ò¤òµá¤á¤ë¾å¤Ç¤Îº¤Æñ¤ÊÅÀ¡¿¡¦ÀÅŪµåÂоβò¤«¤éÄê¾ï¼´Âоβò¤òµá ¤á¤ë¤¿¤á¤Îthe Newman-Janis algorithm¡¿¡¦boundary conditions ¡¿¡¦°µÎÏ¡¤ Ì©ÅÙ¤ËÂФ¹¤ë¡¤ÊªÍýŪ¸«ÃϤ«¤é¤Î¾ò·ï¡¿¡¦trial solution¤È¸¡¾ÚÅù¡¤¤Ë¤Ä¤¤¤Æ Ïäò¤¹¤ëͽÄê¤Ç¤¢¤ë¡£ £µ¡¥È¯É½¤Î¤¿¤á¤Ë¼ç¤ËRefer¤·¤¿ÏÀʸ¡¿ S.P.Drake and R.Turolla:gr-qc/9703084 D.McManus:Class.Quant.Grav.8 863 (1991) W.Israel:Nuovo Cim.44B 1 (1966) E.T.Newman and A.I.Janis:J.Math.Phys.6 915 (1965) S.Chandrasekhar:The Mathematical Theory of Black Holes (Oxford University Press ,Oxford,1983)
£±¡¤¶ÌÃÖ¡¡¹§»ê¡¤Áá°ðÅÄÂç³ØÍý¹©³ØÉôÁ°Åĸ¦µæ¼¼£Í£² £²¡¤Non-Abelian Black Holes in Brans-Dicke theory £³¡¤Non-Abelian Black Hole ¡¤ Brans-Dicke theory ¡¡¡¡Black Hole thermodynamics¡¤ catastrophe theory £´¡¤°ìÈÌÁêÂÐÀ­ÍýÏÀ¤Ç¤Ï¤³¤ì¤Þ¤Ç²¿¼ïÎफ¤ÎÈó²Ä´¹¾ì¤òȼ¤¦Black Hole ²ò¤¬¿ôÃÍ Åª¤Ëµá¤á¤é¤ì¡¤¤½¤ÎÀ­¼Á¤âÄ´¤Ù¤é¤ì¤Æ¤­¤¿¡¥º£²ó¤Ï¥¹¥«¥é¡¼¡¦¥Æ¥ó¥½¥ëÍýÏÀ¤Î °ì¤Ä¤Ç¤¢¤ëBrans-Dicke theory ¤Ë¤ª¤¤¤ÆƱÍͤËÈó²Ä´¹¾ì¤òȼ¤¦Black Hole ²ò¤ò¿ôÃÍŪ¤Ëµá¤á¡¤¤½¤ÎÀ­¼Á¤òÄ´¤Ù¡¤°ìÈÌÁêÂÐÀ­ÍýÏÀ¤Î¾ì¹ç¤È¤Î°ã¤¤¤òµÄÏÀ¤¹ ¤ë¡¥Brans-Dicke theory ¤ÏBrans-Dicke ¥Ñ¥é¥á¡¼¥¿¡¼¤È¸Æ¤Ð¤ì¤ë¥Ñ¥é¥á¡¼ ¥¿¡¼¤Ë¤è¤Ã¤ÆÆÃħ¤Å¤±¤é¤ì¤Æ¤ª¤ê¡¤¤³¤Î¥Ñ¥é¥á¡¼¥¿¡¼¤¬Ìµ¸ÂÂç¤Î¶Ë¸Â¤Ç¤Ï°ìÈÌ ÁêÂÐÀ­ÍýÏÀ¤Ëµ¢Ã夵¤ì¤ë¡¥´Ñ¬Ū¤Ë¤Ï¤³¤Î¥Ñ¥é¥á¡¼¥¿¡¼¤Ï£µ£°£°°Ê¾å¤È¤ÎÀ©¸Â¤¬ ¤¢¤ë¤¬¡¤¤½¤Î¤è¤¦¤ÊÀ©¸Â¤Î¤â¤È¤Ç¤Ï²ò¤Î¿¶¤ëÉñ¤¤¤Ï¤Û¤È¤ó¤É°ìÈÌÁêÂÐÀ­ÍýÏÀ ¤Î¾ì¹ç¤È¶èÊ̤¬¤Ä¤«¤Ê¤¤¤³¤È¤¬¤ï¤«¤Ã¤¿¡¥¤¿¤À¤·¡¤¤³¤Î¥Ñ¥é¥á¡¼¥¿¡¼¤¬¾®¤µ¤¤ Îΰè¤Ç¤Ï²ò¶ÊÀþ¤¬°ìÈÌÁêÂÐÀ­ÍýÏÀ¤Î¾ì¹ç¤ÈÄêÀ­Åª¤Ë°Û¤Ê¤ê¡¤Black Hole Ç®ÎÏ³Ø ¤È¤Î´ØÏ¢¤Ç¤³¤Î»ö¤òÀâÌÀ¤¹¤ë¡¥ £µ¡¤[1] C. Brans and R.H. Dicke, Phys. Rev. 124, p925 (1961). [2] K. Maeda, T. Tachizawa, T. Torii and T. Maki, Phys. Rev. Lett. 72, p450 (1994), T. Torii, K. Maeda, and T. Tachizawa, Phys. Rev. D 51, p1510 (1995), T. Tachizawa, K. Maeda, and T. Torii, Phys. Rev. D 51, p4054 (1995). [3] R. M. Wald, Phys. Rev. D 48, p3427 (1993), V. Iyer and R. M. Wald, Phys. Rev. D 50, p846 (1994), V. Iyer and R. M. Wald, Phys. Rev. D 52, p4430 (1995).
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1.Íî¹çÍÎ·É ÅìµþÂç³ØÍý³Ø·Ï¸¦µæ²ÊʪÍý³ØÀ칶 ±§ÃèÍýÏÀ¸¦µæ¼¼ M1 2.Topological Censorship and the Topology of Black Holes 3.Topological Censorship¤¬Àµ¤·¤±¤ì¤Ð¡¢Black Hole¤ÎTopology¤Ïµå¾õ¤Ç¤¢¤ë¡£ 4.Topological structure ¤ÎÍ­¸Â»þ´ÖÆâ¤Î̤Íè¤Ë¤ÏÆðÛÅÀ¤¬Â¸ºß¤·¤Ê¤±¤ì¤Ð¤Ê ¤é¤Ê¤¤¡£Cosmic Censorship Conjecture¡ÊÆðÛÅÀ¤Ï Event Horizon¤Ë¤è¤ê±£¤µ ¤ì¤Æ¤¤¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡Ë¤¬Àµ¤·¤¤¤È¤¹¤ë¤È¡¢Topological structure¤âEvent Horizon ¤Ë¤è¤ê±£¤µ¤ì¤Æ¤¤¤Æ¡¢Black Hole³°Éô¤Ë¤Ï¡¢¤½¤Î¾ðÊó¤ÏÅÁ¤ï¤ë¤³¤È¤Ï ¤Ç¤­¤Ê¤¤¡£¤³¤Î¤¿¤á¡¢Topological Censorship (´Ñ¬¼Ô¤Ï Event HorizonÆâ¤Ë Íî¤Á¹þ¤Þ¤Ê¤¤¸Â¤ê¡¢¤½¤Î»þ¶õ¤ÎTopology¤òÃΤ뤳¤È¤Ï¤Ç¤­¤Ê¤¤¡Ë¤ò²¾Äꤹ¤ë¤³ ¤È¤Ï¼«Á³¤Ç¤¢¤ë¡£Black Hole¤Ï¡¢spacelike¤Ê£³¼¡¸µ hypersurface¤È Event Horizon ¤È¤Î¸ò¤ï¤ê¤È¤·¤ÆÄêµÁ¤µ¤ì¤ë¡£Topological Censorship¤¬À®Î©¤·¡¢»þ ¶õ¤¬Äê¾ï¤Ç¤¢¤ë¤Ê¤é¤Ð¡¢Black Hole³°Éô¤Îspacelike¤Ê£³¼¡¸µ hypersurface¤Ï ñϢ·ë¤Ç¤¢¤ë¡£¤·¤¿¤¬¤Ã¤Æ¡¢Black Hole¤ÎTopology¤Ïµå¾õ¤Ç¤¢¤ë¡£¤³¤Î¤³¤È¤Ï¡¢ ¤ä¤ä¶¯¤¤¾ò·ï¤Î²¼¤Ç²òÀÏŪ¤Ë¼¨¤¹¤³¤È¤¬¤Ç¤­¤ë¤¬¡¢¤³¤Î¤è¤¦¤Ë°ÌÁê´ö²¿³ØŪ¤Ë °·¤¨¤Ð¡¢¤è¤ê¼å¤¤¾ò·ï¤Î²¼¤Ç¼¨¤¹¤³¤È¤¬¤Ç¤­¤ë¡£ 5.John.L.Friedman:"Topological Censorship" PRL71(1993)1486 Piotr T Chrusciel and Robert M Wald: "On the topology of stationary black holes" Class.Quantum Grav.11(1994)L147
1.¼ÆÈø ¾»¹î¡£Åìµþ¹©¶ÈÂç³Ø Íý¹©³Ø¸¦µæ²Ê ʪÍý³ØÀ칶 ºÙ롦Àи¶¸¦ M 1 2.¥¿¥¤¥È¥ë¡§Cosmic String ¤È ´ö²¿³ØŪ°ÌÁê°ø»Ò¡Ê¼ã´³½¤Àµ¤·¤Þ¤·¤¿¡Ë 3.¥­¡¼¥ï¡¼¥É¡§±§Ãè¤Ò¤â¡£´ö²¿³ØŪ°ÌÁê°ø»Ò¡£AB¸ú²Ì¡£¸ÅŵŪ¥¹¥«¥é¡¼¾ì¡£ 4.¥¢¥Ö¥¹¥È¥é¥¯¥È¡§ ---------------------------------------------------------------------- Abstract:´ö²¿³ØŪÃÇÇ®°ÌÁê¤Ï¡¢¥Ù¥ê¡¼°ÌÁê¤È¤â¸À¤ï¤ì¡¢1984ǯ¤Ë Berry ¤¬Äó ¾§¤·¤¿¤â¤Î¤Ç¤¢¤ë¡£ÃÇÇ®²áÄø¤Ë¤ª¤¤¤Æ¤Ï¡¢Î̻ҷϤϤ½¤Î¥¨¥Í¥ë¥®¡¼Î̻ҿô¤òÊÑ ¤¨¤Ê¤¤¤è¤¦¤Ë¾õÂÖ¤òÊѲ½¤µ¤»¤Æ¤¤¤¯¡£¤½¤ÎºÝ¤Ë¡¢¤ª¤Ê¤¸¤ß¤Î±¿Æ°³ØŪ°ÌÁê¤Î¾ ¤Ë¡¢Í¾·×¤Ê°ÌÁê°ø»Ò¤¬¤Ä¤¯¡£¤³¤ì¤ÏÃÇÇ®ÊѲ½¤òÀ©¸æ¤¹¤ë¥Ñ¥é¥á¡¼¥¿¶õ´ÖÆâ¤Ç¤Î ¥È¥Ý¥í¥¸¡¼¤Î¤ß¤Ë°Í¸¤¹¤ë¤Î¤Ç¡¢´ö²¿³ØŪ°ÌÁê¤È¸Æ¤Ð¤ì¤ë¡£Æäˡ¢¤½¤ÎÆüì¤Ê Îã¤È¤·¤Æ¥¢¥Ï¥é¥Î¥Õ¡¦¥Ü¡¼¥à¸ú²Ì¤ò°ÌÃ֤Ť±¤ë¤³¤È¤¬¤Ç¤­¤ë¡£º£²ó²òÀ⤹¤ë¤Î ¤Ï AB ¸ú²Ì¤ÎÊÑ·ÁÈǤǤ¢¤ê¡¢¥½¥ì¥Î¥¤¥É¤ÎÂå¤ï¤ê¤Ë±§Ãè¤Ò¤â¤ò¹Í»¡¤ÎÂоݤȤ¹ ¤ë¡£¶ñÂÎŪ¤Ë¤Ï¡¢±§Ãè¤Ò¤â¤Î¤Þ¤ï¤ê¤Î»þ¶õ¾å¤Ë¸ÅŵŪ¥¹¥«¥é¡¼¾ì¤ò¤Î¤»¡¢¤½¤Î ´ö²¿³ØŪ°ÌÁê¤ò¸«¤è¤¦¤È¤¤¤¦¤â¤Î¤Ç¤¢¤ë¡£¤Þ¤¿¡¢¥¹¥«¥é¡¼¾ì¤Ï¤â¤Á¤í¤ó¥¯¥é¥¤ ¥ó¡¦¥´¥ë¥É¥óÊýÄø¼°¤òËþ¤¿¤¹¤ï¤±¤À¤¬¡¢¤³¤ì¤À¤È»þ´Ö¤Ë¤Ä¤¤¤ÆÆ󳬤ÎÈùʬÊýÄø ¼°¤Ê¤Î¤Ç¡¢Äê¼°²½¤ÎºÝ¤Ë¤ÏÆóÀ®Ê¬¤ËʬΥ¤·¤Æ¡¢»þ´Ö¤Ë¤Ä¤¤¤Æ°ì³¬¤ÎϢΩÈùʬÊý Äø¼°¤È¤·¤Æ°·¤Ã¤Æ¤¤¤¯¡£ ---------------------------------------------------------------------- 5.»²¹Íʸ¸¥¡§Adiabatic Geometrical Phase for Scalar Fields in a Curved Spacetime Ali Mostafazadeh hep-th/9608051
1.ÀÆÆ£Éðʸ,Åìµþ¹©¶ÈÂç³ØÍý¹©³Ø¸¦µæ²ÊʪÍý³ØÀ칶,½¤»Î°ìǯ 2.Event horizons in numerical relativity 3.horizon,numerical,¿ôÃÍ·×»» 4.¡Ê°Ê²¼¡Ë ¿ôÃÍŪ¤Ëµá¤á¤é¤ì¤¿»þ¶õ¤ÎÃæ¤Ç¡¢»ö¾Ý¤ÎÃÏÊ¿Ì̡ʰʲ¼£Å£È¡Ë¤Î¾ì½ê¤òÆÃÄꤹ¤ë ÊýË¡¤ò°·¤Ã¤¿ÏÀʸ¤ò¾Ò²ð¤¹¤ë¡£°ìÈÌÁêÂÐÏÀ¤¬Í½ÁÛ¤¹¤ë¸½¾Ý¤Ç¤¢¤ë¥Ö¥é¥Ã¥¯¥Û¡¼ ¥ë¤Ï£Å£È¤Ë¤è¤Ã¤ÆÆÃħ¤Å¤±¤é¤ì¤ë¡££Å£È¤ÎÆâÉô¤Ç¤Ï¡¢±óÊý¤Ë¸þ¤±¤ÆÊü¤¿¤ì¤¿¸÷ ¤¹¤é£Å£È¤ò±Û¤¨¤Æ³°¤Ø¤Ï½Ð¤é¤ì¤Ê¤¤¡££Å£È¤òõ¤·½Ð¤¹¤Ë¤Ï¡¢¸÷¤Îµ°Àפλþ´Öȯ Ÿ¤òÄ´¤Ù¤ì¤Ð¤è¤¤¡££Å£È¤Î³°¤Ë¤¢¤ë¸÷»Ò¤Îµ°ÀפϱóÊý¤Ø¤Èȯ»¶¤·¡¢Æâ¤Ë¤¢¤ë¸÷ »Ò¤Îµ°ÀפÏÃæ¤ØÍî¤Á¤ÆÆðÛÅÀ¤Ø¸þ¤«¤¦¡£¤·¤«¤·¡¢µ°Àפò¿ôÃÍŪ¤ËÄ´¤Ù¤ë¤Î¤Ïº¤ Æñ¤Ç¤¢¤ë¡£½é´ü°ÌÃ֤ξ¯¤·¤Î¸íº¹¤Ç¡¢¤½¤Î¸å¤Î»þ´ÖȯŸ¤¬Â礭¤¯°Û¤Ê¤ë¤«¤é¤Ç ¤¢¤ë¡£¤½¤³¤Ç¡¢»þ´Ö¤òµÕž¤·¤Æ¸÷¤Îµ°ÀפòÄ´¤Ù¤ë¤³¤È¤Ë¤¹¤ë¡£¤³¤Î¤È¤­£Å£È¶á ¤¯¤Î¸÷¤Îµ°Àפϡ¢ÃÏÊ¿Ì̾å¤Ë¼ý«¤¹¤ë¡£¤³¤ÎÊýË¡¤Ç£Å£È¤Î¾ì½ê¤òÆÃÄꤹ¤ë¡£¤µ ¤é¤Ë¸Ä¡¹¤Î¸÷»Ò¤Îµ°Àפò¸«¤ëÂå¤ï¤ê¤Ë¡¢£Å£È¤ò¶õ´ÖÆâ¤Î£²¼¡¸µ¶ÊÌ̤ȹͤ¨¤Æ¡¢ ¤³¤ÎÌ̤εոþ¤­¤Î»þ´ÖȯŸ¤òÄ´¤Ù¤ë¼êË¡¤òŸ³«¤¹¤ë¡£¤³¤ì¤Ï¡¢¤è¤ê¸íº¹¤Î¾¯¤Ê ¤¤ÊýË¡¤Ç¤¢¤ë¡£°Ê¾å¤ÎÊýË¡¤ò¸·Ì©²ò¤ËŬÍѤ·¤Æ¡¢¤½¤Î¿®ÍêÀ­¤ò¸«¤ë¡£ ¡Ê°Ê¾å¡Ë 5.J.Libson,J.Masso,E.Seidel,W.-M.Suen and P.Walker,Phys.Rev.D 53,4335 (1996),P.Anninos,D.Bernstein,S.Brandt,J.Libson,J.Masso,E.Seidel, L.Smarr and P.Walker,Phys.Rev.Lett 74,630(1995)
1.Âç¾¾¹¬À¸¡¢Åìµþ¹©¶ÈÂç³ØÂç³Ø±¡Íý¹©³Ø¸¦µæ²ÊºÙëÀи¶¸¦µæ¼¼M£± 2.Rotation of the plane of polarization and geometry 3.blackholes, polarization, relativity, X-rays sources 4.¥Ö¥é¥Ã¥¯¥Û¡¼¥ë¼þ°Ï¤Î¹ßÃå±ßÈפ«¤éȯ¤¹¤ëXÀþ¤ÎÊи÷À­¾õ¤Î¿ôÃÍŪ¤Ê·×»»¤ò ¹Ô¤Ê¤Ã¤¿ÏÀʸ¤Î¾Ò²ð¤ò¤¹¤ë¡£XÀþ¤¬´Ñ¬¼Ô¤Þ¤ÇÅþ㤹¤ë¤Þ¤Ç¤ÎÊü¼ÍÅÁÇŤΠÌäÂê¤Î·×»»¤Ï¡¢½¾Íè¹Ô¤Ê¤ï¤ì¤Æ¤­¤¿¥Ë¥å¡¼¥È¥Ë¥¢¥ó¤Ç¤Ï¤Ê¤¯¡¢°ìÈÌÁêÂÐÏÀ Ū¤Ë¼è¤ê°·¤Ã¤Æ¤¤¤ë¡£¤³¤ÎÁêÂÐÏÀŪ¤Ê½¤Àµ¤ÏXÀþÊи÷Ì̤Τè¤êÂ礭¤Ê²óž¤È¡¢ Êи÷¤ÎÄøÅÙ¤ÎÊѲ½¤òÀ¸¤ß½Ð¤¹¡£¤³¤³¤Ç¤Î·×»»·ë²Ì¤È¡¢´Ñ¬·ë²Ì¤òÈæ³Ó¤¹¤ë ¤³¤È¤Ç¥Ö¥é¥Ã¥¯¥Û¡¼¥ë¤Î¸ºß¤ÎľÀÜŪ¤Ê¾Úµò¤Î°ì¤Ä¤È¤Ç¤­¤ë²ÄǽÀ­¤¬¤¢¤ë¡£ ¤Þ¤¿¡¢¥Ö¥é¥Ã¥¯¥Û¡¼¥ë¤Î½ÅÎÏ¥ì¥ó¥º¸ú²Ì¤Ë¤è¤ê¹ßÃå±ßÈפÎɽ¤È΢¤«¤é¤Î XÀþ¤ÎÊи÷¤ÎÈæ³Ó¤¬²Äǽ¤Ê¤é¤Ð¡¢¥Ö¥é¥Ã¥¯¥Û¡¼¥ë¤Î²óž¤Î¾Úµò¤È¤â¤Ê¤ê¤¦¤ë¡£ 5.Paul A.Connors, Tsvi Piran, and Richard F.Stark:The Astrophysical Journal,235:224-244,1980
1. ÅÄÂå ´ð·Ä ¡¢µþÅÔÂç³Ø Å·Âγ˸¦µæ¼¼ M£± 2. ¥¿¥¤¥È¥ë¡§Ì©ÅÙÍɤ餮¤È½ÅÎÏÇȤˤè¤ë Inflation Potential ¤ÎºÆ¹½À® 3. ¥­¡¼¥ï¡¼¥É¡§inflation , slow roll approximation , potential , density perturbation , tensor perturbation 4. Abstract: ¥¤¥ó¥Õ¥é¥È¥ó¤Î¥Ý¥Æ¥ó¥·¥ã¥ë¤È¡¢¥¤¥ó¥Õ¥ì¡¼¥·¥ç¥ó¤Ë¤è¤Ã¤ÆÀ¸À®¤µ¤ì¤ëÌ©ÅÙ Íɤ餮¡¢½ÅÎÏÇȤȤδط¸¤Ë¤Ä¤¤¤Æ Review ¤ò¤¹¤ë¡£º£¸å¡¢±§ÃèÇØ·Êíռͤβ¹ÅÙ Íɤ餮¤ä¡¢¤½¤Î¾¤Î±§Ãè¤ÎÂ絬ÌϹ½Â¤¤Î´Ñ¬¤Ë¤è¤Ã¤Æ¡¢ÂçÎ̤«¤ÄÀºÌ©¤Ê¥Ç¡¼¥¿ ¤Î½¸ÀѤ¬Í½ÁÛ¤µ¤ì¤ë¤¬¡¢¤³¤ì¤é¤Î¥Ç¡¼¥¿¤Ë¤è¤Ã¤Æ±§Ãè½é´ü¤ÎÌ©ÅÙÍɤ餮¤È½ÅÎÏ ÇȤ˴ؤ¹¤ë¾ðÊó¤òÆÀ¤ë¤³¤È¤¬½ÐÍè¤ë¡£¥¤¥ó¥Õ¥é¥È¥ó¤¬£±À®Ê¬¤Î¾ì¹ç¡¢¤³¤ì¤é¤Î ¾ðÊó¤Ë´ð¤Å¤±¤Ð slow roll ¶á»÷ ¤Î²¼¤Ç¥Ý¥Æ¥ó¥·¥ã¥ë¤ò¤¢¤ëÄøÅٺƹ½À®¤Ç¤­¤ë ¡£¤µ¤é¤Ë¡¢Ì©ÅÙÍɤ餮¤È½ÅÎÏÇȤζ¯ÅÙ¡¢¤½¤Î spectral index ¤Î´Ö¤Ë¤¢¤ë´Ø·¸ ¼°¤¬À®¤êΩ¤Ä¤³¤È¤âÍýÏÀŪ¤Ë¼¨¤µ¤ì¤ë¤¬¡¢´Ñ¬¤Ë¤è¤Ã¤ÆÆÀ¤é¤ì¤ë¾ðÊó¤òÍøÍѤ¹ ¤ì¤Ð¡¢º£²ó¼¨¤µ¤ì¤ë´Ø·¸¼°¤òÄ̤·¤Æ¥â¥Ç¥ë¤ÎÁ°Äó¾ò·ï¤ÎÂÅÅöÀ­¤¬È½Äê¤Ç¤­¤ë¤À ¤í¤¦¡£ 5. Reference: J.E.Lidsey et al., astro-ph/9508078
1.ÀÖÅçÃÒÀ¬ ̾¸Å²°Âç³ØÍý³ØÉôCG¸¦ô¸ M1 2.The visualization by comuter graphics in general relativity 3."visualization","headon collision","embedding to 3-dim Euclid space","Misner solution" 4.Visualization by acomputer can connect recognition of a man with a physical event concretely.Therefore I carries out embedding to 3-dimensional Euclid space of relativistic two-dimensional surface,and expresses the object on computer.I am going to obtain an example of a concrete image of a physical event through it.I hope to treat "two blackholes collision for Misner solution" as a example. 5.Visualization in Curved Spacetiome.II.Visualization of Surfaces via Embedding author :Hans-Peter Nollert and Heinz Herold
£±¡¥Î©Àî¡¡¿òÇ·¡¡Áá°ðÅÄÂç³ØÍý¹©³ØÉôʪÍý³Ø²ÊÁ°Åĸ¦µæ¼¼¡¡½¤»Î£±Ç¯ £²¡¥±§Ãè¤ÎÂ絬ÌϹ½Â¤¤ÈWavelet²òÀÏ £³¡¥Cosmology,structure formation,Zel'dovich approximation,Wavelet analysis £´¡¥ ±§Ãè¤ÎÂ絬ÌϹ½Â¤¤ËÂФ¹¤ë²òÀϤǤϡ¢½¾Í褫¤é¤æ¤é¤®¤Î¶õ´ÖʬÉۤξ¤Ë¡¢¤½¤ì¤òFour ierÊÑ´¹¤·¤¿¤æ¤é¤®¤Î¥¹¥Ú¥¯¥È¥ë¤â½ÅÍפÊÍ×ÁǤȤ·¤Æ´Þ¤Þ¤ì¤ë¡£¤æ¤é¤®¤Î¥¹¥Ú¥¯¥È¥ë ¤ò¹Íθ¤¹¤ë¤³¤È¤Ë¤è¤ê¡¢¤É¤Î¥¹¥±¡¼¥ë¤Î¤æ¤é¤®¤¬Í¥Àª¤Ç¤¢¤ë¤«¡¢¤É¤Î¥¹¥±¡¼¥ë¤Î¤æ¤é ¤®¤¬¤è¤êÀ®Ä¹¤¹¤ë¤«¤¬Ê¬¤«¤ê¡¢¤µ¤Þ¤¶¤Þ¤Ê¥â¥Ç¥ë¤Ë¤è¤ë¹½Â¤·ÁÀ®¤Î»ÅÊý¤Î°ã¤¤¤òÈæ³Ó ¤¹¤ë¤³¤È¤¬½ÐÍè¤ë¡£¤È¤³¤í¤¬Fourier²òÀϤǤϡ¢¤æ¤é¤®¤Î¥¹¥Ú¥¯¥È¥ë¤Ë´Ø¤¹¤ë¾ðÊó¤ò ÆÀ¤ëÂå¤ï¤ê¤Ë¡¢¤æ¤é¤®¤Î°ÌÃ֤ξðÊó¤ò¼º¤Ã¤Æ¤·¤Þ¤¦¡£Fujiwara,Soda(1996)¤Ï¡¢°ÌÃÖ ¤Î¾ðÊó¤ò´Þ¤à¤â¤Î¤È¤·¤Æ¡¢Wavelet¤òÍѤ¤¤¿²òÀϤò¹Ô¤Ã¤¿¡£Wavelet²òÀϤǤÏFourier ²òÀϤȤÏÂоÈŪ¤Ë¡¢¶É½êŪ¤ÊÌ©ÅÙ¤æ¤é¤®¤Î¾ðÊó¤¬ÊÑ´¹¸å¤âÊݤ¿¤ì¡¢¤µ¤é¤Ë¤½¤Î¤æ¤é¤® ¤Î¥¹¥±¡¼¥ë¤Ë´Ø¤¹¤ë¾ðÊó¤âÆÀ¤é¤ì¤ë¡£ Ëܸ¦µæ¤Ç¤Ï¤¤¤¯¤Ä¤«¤Î¥â¥Ç¥ë¤ËÂФ·Wavelet²òÀϤò¹Ô¤¤¡¢¤½¤Î¾å¤Ç¤Î¤æ¤é¤®¤ÎȯŸ¤Ë ¤è¤ë¹½Â¤·ÁÀ®¤Ç¤ÎÆÃħ¤òÄ´¤Ù¡¢¤½¤ÎÀ®°ø¤Ë¤Ä¤¤¤Æ¤Î¹Í»¡¤òȯɽ¤¹¤ë¡£ £µ¡¥[1] Y.Fujiwara and J.Soda, Prog. Theor. Phys. 95 (1996) 1059 [2] L.Z.Fang and J.Pando, preprint, astro-ph/9701228 [3] Ya.B.Zeldovich, Astron. Astrophys. 5 (1970) 84 [4] P.Catelan, MNRAS 276 (1995) 115 etc.
¶âß·ÉÒ¹¬ ÅìµþÂç³ØÂç³Ø±¡Íý³Ø·Ï¸¦µæ²ÊʪÍý³ØÀ칶±§ÃèÍýÏÀ¸¦µæ¼¼M£² ¡Ö¥Ï¥¤¥Ö¥ê¥Ã¥É¥¤¥ó¥Õ¥ì¡¼¥·¥ç¥ó½ô¡¹¡× key word:hybrid inflation ¡¡¥¤¥ó¥Õ¥ì¡¼¥·¥ç¥ó±§Ãè¥â¥Ç¥ë¤Ç¡¢¥¤¥ó¥Õ¥ì¡¼¥·¥ç¥ó¤¬½ªÎ»¤¹¤ëÊýË¡¤ÏÂ礭¤¯ ʬ¤±¤Æslow roll¡¢°ì¼¡Áêž°Ü¡¢water fall¤Î£³¼ïÎब¤¢¤ë¡£water fall·¿¤Î ¥â¥Ç¥ë¤ÏÁ°£²¼Ô¤ÎĹ½ê¤ò¹ç¤ï¤»»ý¤Á¡¢¥Ï¥¤¥Ö¥ê¥Ã¥É¡¦¥¤¥ó¥Õ¥ì¡¼¥·¥ç¥ó¤È¸Æ¤Ð ¤ì¤ë¡£¤½¤Î¿¤¯¤Î¥â¥Ç¥ë¤Ç¤ÏÉÔ¼«Á³¤Ë¾®¤µ¤Êcoupling constant¤ò²¾Äꤷ¤Ê¤¯ ¤Æ¤âºÑ¤ß¡¢¤Þ¤¿¡¢supersymmetry¤ò¹Íθ¤ËÆþ¤ì¤¿ºÝ¡¢¼«Á³¤Ê¥â¥Ç¥ë¤ò¹½ÃÛ¤·¤ä ¤¹¤¤¡£º£²ó¤ÏLinde¤Ë¤è¤Ã¤ÆÄ󾧤µ¤ì¤¿¥Ï¥¤¥Ö¥ê¥Ã¥É¥¤¥ó¥Õ¥ì¡¼¥·¥ç¥ó¤È¡¢¤½ ¤Îº£¸å¤ÎŸ˾¤Ë¤Ä¤¤¤Æ¾Ò²ð¤¹¤ë¡£ refs.¡¦A.D.Linde,Phys.Lett.B,259,38(1991) ¡¦A.D.Linde,Phys.Rev.D,49,748,(1994) etc.
1. »á̾: ²¬Éô ¹§¹°¡Ê¤ª¤«¤Ù ¤¿¤«¤Ò¤í¡Ë ½ê°: ÅìµþÂç³ØÂç³Ø±¡Íý³Ø·Ï¸¦µæ²Ê ±§ÃèÍýÏÀ¸¦µæ¼¼ ³Øǯ: £Í£± 2. ¥¿¥¤¥È¥ë :Cosmological gamma ray bursts and the ultra high energy cosmic rays 3. ¥­¡¼¥ï¡¼¥É:ultra high energy cosmic rays, gamma ray bursts fermi acceleration 4. ¥¢¥Ö¥¹¥È¥é¥¯¥È: Ķ¹â¥¨¥Í¥ë¥®¡¼±§ÃèÀþ¡Ê100Eev¤ò±Û¤¨¤ë¥¨¥Í¥ë¥®¡¼¤ò»ý¤Ä¡Ë¤Ï ²æ¡¹¤Ë¿¤¯¤ÎÆæ¤òÅꤲ¤«¤±¤Æ¤¤¤Æ¡¢¤½¤Îµ¯¸»¡¢²Ã®µ¡¹½¤Ê¤É¤Ï ̤¤À¤Ë¤è¤¯¤ï¤«¤Ã¤Æ¤¤¤Ê¤¤¡£ Ķ¹â¥¨¥Í¥ë¥®¡¼±§ÃèÀþ¤Îµ¯¸»¤È¤·¤Æ¡¢¥¬¥ó¥ÞÀþ¥Ð¡¼¥¹¥È¸»¡¢³è Æ°¶ä²ÏÃæ¿´¤Ë¤¢¤ëµðÂç¥Ö¥é¥Ã¥¯¥Û¡¼¥ë¤È¹ßÃå±ßÈס¢±§Ã蹽¤¤Î Ãæ¤Î°ÌÁê·ç´Ù¤Î£³¤Ä¤¬ÁÛÄꤵ¤ì¤Æ¤¤¤ë¤¬¡¢º£²ó¤Îȯɽ¤Ç¤Ï¥¬¥ó ¥ÞÀþ¥Ð¡¼¥¹¥È¥â¥Ç¥ë¤Ë¤Ä¤¤¤Æ¡¢Ä¶¹â¥¨¥Í¥ë¥®¡¼±§ÃèÀþ¤ÎÅꤲ¤« ¤±¤ëÌäÂêÅÀ¤È´ØÏ¢¤µ¤»¤Æ¾Ò²ð¤¹¤ë¡£ 5. »²¹Íʸ¸¥ :Hillas Ann. Rev. Astron. Astrophys. 22, 425 (1984) E. Waxman Phys. Rev. Lett. 75, 386 (1995) E. Waxman astro-ph/9612061 etc.
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£±¡¥»á̾¡§ °æ¾å ÂÀϺ £²¡¥½ê°¡¢³Øǯ¡§µþÅÔÂç³Ø´ðÁÃʪÍý³Ø¸¦µæ½ê½¤»Î2ǯ £³¡¥Ï¢ÍíÀè E-mail¡§tinoue@yukawa.kyoto-u.ac.jp £´¡¥È¯É½¥¿¥¤¥È¥ë CMB anisotropy in a noncompact multiconnected hyperbolic universe £µ¡¥´õ˾ȯɽÊý¼° ¥Ý¥¹¥¿¡¼ ¥¢¥Ö¥¹¥È¥é¥¯¥È Large-scale cosmic microwave background temperature fluctuations are calculated for a noncompact multiconnected hyperbolic universe. The mode expansion is carried out by using Selberg trace formula. reference:Sevens,D,et al, Phys.Rev.Lett.Vol 71,1993 Cornish,N.J.,et al, 1996(preprint) Costa,Smoot,and Starobinsky,1995(preprint astro-ph/9510109) Bond,Pogosyan,and Souradeep,1997(preprint astro-ph/9702212) Levin,Barrow,Bunn,and Silk,1997(preprint astro-ph/9702242)
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£± ºÙ¾ÂÀµÌ÷¡Ê¤Û¤½¤Ì¤Þ ¤Þ¤µ¤ä¤¹¡Ë ¹­ÅçÂç³ØÍý³ØÉô±§ÃèʪÍý³Ø¸¦µæ¼¼ M£± £² Black hole area in Brans-Dicke theory £³ Brans-Dicke theory,area theorem £´ ½ÅÎϾì¤òÎ̻Ҳ½¤¹¤ëÍýÏÀ¤«¤é¡¢Einstein¤Î½ÅÎϾì¤ÎÍýÏÀ¤Ïscalar¾ì¤ò´Þ¤à¤è¤¦ ³ÈÄ¥¤µ¤ì¤ë¤Ù¤­¤Ç¤¢¤ë¡¢¤È¤Î·ëÏÀ¤¬½Ð¤µ¤ì¤Æ¤¤¤ë¡£¤³¤³¤Ç¼è¤ê¾å¤²¤ëBrans- DickeÍýÏÀ¤Ï¾å½Ò¤Î¤è¤¦¤Ê¥¢¥×¥í¡¼¥Á¤«¤é½Ð¤µ¤ì¤¿¤â¤Î¤Ç¤Ï¤Ê¤¤¤¬¡¢scalar¾ì ¤ò´Þ¤à½ÅÎϾì¤ÎÍýÏÀ(scalar-tensorÍýÏÀ)¤ÎºÇ¤âñ½ã¤Ê¤â¤Î¤Ç¤¢¤ê¡¢¼Â¸³Åª¸¡ ¾Ú¤ò¼õ¤±¤¿ÍýÏÀ¤Ç¤â¤¢¤ë¡£º£²ó¤ÏBrans-DickeÍýÏÀ¤Î²¼¤Ç¤Îblack hole¤Î¿¶Éñ ¤¤¡¢¥¨¥ó¥È¥í¥Ô¡¼¤Ë¤Ä¤¤¤ÆGungwon Kang¤Ë¤è¤ëÏÀʸ¤òÃæ¿´¤Ë¤·¤Æ¾Ò²ð¤¹¤ë¡£ £µ referrence Gungwon Kang Phys.Rev. D54 7483 (1996) T.Jacobson,G.Kang and R.C.Myers Phys.Rev. D49 6587 (1994) M.A.Scheel,S.L.Shapiro and S.A.Teukolsky Phys.Rev. D51 4238,4208 (1993)
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ÌðÌîÂÀÊ¿ ÂçºåÂç³ØÍý³ØÉô±§Ãè¿Ê²½ D£² Stability of scale-invariant cosmological correlation function in the strongly non-linear clustering regime ¥¢¥Ö¥¹¥È¥é¥¯¥È ²æ¡¹¤ÏÈóÀþ·ÁÎΰè¤Ç¤ÎÌ©ÅÙÍɤ餮¤Î£²ÂÎÁê´Ø´Ø¿ô¤Ë¤¿¤¤¤¹¤ëBBGKYÊýÄø¼°¤Î ¶Ò§²ò¤Ë¤Ä¤¤¤Æ¡¢¤É¤Î¤è¤¦¤Ê¤â¤Î¤¬¤¢¤ë¤«¤ò°ÊÁ°¤ËÄ´¤Ù¤¿¡£ ¤½¤Î¡¢ÈóÀþ·ÁÎΰè¤Ç¤ÎÌ©ÅÙÍɤ餮¤Î£²ÂÎÁê´Ø´Ø¿ô¤Ë¤¿¤¤¤¹¤ëBBGKYÊýÄø¼°¤Î ¶Ò§²ò¤Î°ÂÄêÀ­¤òÀÝÆ°¤Î¿¶Éñ¤¤¤ò¸«¤ë¤³¤È¤Ë¤è¤êÄ´¤Ù¤¿¡£ ®ÅÙ¶õ´Ö¤Î¥¹¥­¥å¡¼¥Í¥¹¤¬¤Ê¤¤»þ¤Ë¤ÏÈóÀþ·ÁÎΰè¤Ç¤Î¥í¡¼¥«¥ë¤ÊÉÔ°ÂÄêÀ­¤Ï ¸ºß¤·¤Ê¤¤¤³¤È¤¬¤ï¤«¤Ã¤¿¡£ÀÝÆ°¤ÏÀ®Ä¹¤â¤»¤º¡¢¸º¿ê¤â¤·¤Ê¤«¤Ã¤¿¡£ ¤Ä¤Þ¤ê¡¢¥Þ¡¼¥¸¥Ê¥ë¤Ê°ÂÄêÀ­¤ò¤â¤Ä¤³¤È¤¬¤ï¤«¤Ã¤¿¡£ ¤³¤Î·ë²Ì¡¢²ò¤Î°ÂÄêÀ­¤È¤¤¤¦´ÑÅÀ¤«¤é¤¹¤ë¤È£²ÂÎÁê´Ø´Ø¿ô¤Î ¥Ñ¥ï¡¼¥¤¥ó¥Ç¥Ã¥¯¥¹¤Ë´Ø¤·¤ÆÆÃÊ̤ÊÃͤϤʤ¤¤³¤È¤¬¤ï¤«¤Ã¤¿¡£ ¤Ä¤Þ¤ê¡¢°ÂÄêÀ­¤ÎµÄÏÀ¤«¤é¶¯¤¤ÈóÀþ·ÁÎΰè¤Ç¤Î£²ÂÎÁê´Ø´Ø¿ô¤Î ¥Ñ¥ï¡¼¥¤¥ó¥Ç¥Ã¥¯¥¹¤ò·è¤á¤ë¤³¤È¤Ï¤Ê¤¤¤³¤È¤¬¤ï¤«¤Ã¤¿¡£ Davis,M &Peebles,P.J.E.1977,ApJS,34,425 Ruamsuwan,L. & Fry,J.N.1992,ApJ,396,416 Yano,T. & Gouda, N.1997,ApJ in press
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£±¡¥Ã«¸ý·É²ð µþÅÔÂç³ØÍý³ØÉôʪÍýÂèÆ󶵼¼Å·Âγ˸¦µæ¼¼ D£² £²¡¥Solving the Darwin problem in the first post-Newtonian approximation of general relativity £³¡¥post-Newtonian¡¢binary neutron stars¡¢Darwin problem¡¢ innremost stable circular orbit £´¡¥We analytically calculate the equilibrium sequence of the corotating binary stars of incompressible fluid in the first post-Newtonian(PN) approximation of general relativity. By calculating the total energy and total angular momentum of the system as a function of the orbital separation, we investigate the innermost stable circular orbit for corotating binary(we call it ISCCO). It is found that by the first PN effect, the orbital separation of the binary at the ISCCO becomes small with increase of the compactness of each star, and as a result, the orbital angular velocity at the ISCCO increases. These behaviors agree with previous numerical works. £µ¡¥K.Taniguchi and M.Shibata, to appear in Phys. Rev. D (1997).
£±¡¥»á̾¡¢½ê°¡¢³Øǯ ²Ï°æ ¿­²ð¡¢ µþÅÔÂç³ØÂç³Ø±¡¿Í´Ö´Ä¶­³Ø¸¦µæ²Ê¡¢D1 £²¡¥È¯É½¥¿¥¤¥È¥ë Stability of non-singular universe £³¡¥È¯É½ÆâÍƤ˴ؤ¹¤ë¥­¡¼¥ï¡¼¥É singularity, Gauss-Bonnet, perturbation £´¡¥È¯É½ÆâÍƤΥ¢¥Ö¥¹¥È¥é¥¯¥È ¡¡¡ª¡ªÃí°Õ¡ª¡ª¡Ê35ʸ»úx12¹Ô°ÊÆâ¡Ë There are cosmological non-singular solutions for equation of motion derived from superstring-based effective action. In this talk, stability of these solutions and evolution of perturbation are discussed using gauge-invariant method. £µ¡¥È¯É½¤Î¤¿¤á¤Ë¼ç¤ËRefer¤·¤¿ÏÀʸ Antoniadis, Rizos and Tamvakis, Nucl.Phys.B415 497 Wetterich, Nucl.Phys. B324 141 ¾
£±¡¥»á̾¡¢½ê°¡¢³Øǯ ÀÆÅÄ ¹À¸« µþÅÔÂç³Ø ¿Í´Ö´Ä¶­³Ø¸¦µæ²Ê ±§ÃèÏÀ¥°¥ë¡¼¥× M1 £²¡¥È¯É½¥¿¥¤¥È¥ë Geon ¤È¤Ï²¿¤« £³¡¥È¯É½ÆâÍƤ˴ؤ¹¤ë¥­¡¼¥ï¡¼¥É geon = gravitational-electromagnetic entity £´¡¥È¯É½ÆâÍƤΥ¢¥Ö¥¹¥È¥é¥¯¥È 1950ǯÂå¤Ë¡¢¸ÅŵŪ¤ÇÁêÂÐÏÀŪ¼è¤ê°·¤¤¤òɬÍפȤ¹¤ë¤è¤¦¤Ê¤â¤Î¤ÎÎã¤È¤·¤Æ¡¢ Geon¤¬¹Í°Æ¤µ¤ì¤Æ¤¤¤ë¡£¤³¤ì¤Ï¡¢¤¢¤ëÎΰè¤Ë½ÅÎÏŪ¤Ë«Çû¤µ¤ì¤¿Åż§¾ì¤Ç¡¢¤³ ¤ÎÅż§¾ì¤ò«Çû¤·¤Æ¤¤¤ë½ÅÎϾì¤Ï¡¢Åż§¾ì¼«¿È¤Î energy-momoentum tensor ¤ò¸»¤È¤¹¤ë¤â¤Î¤Ç¤¢¤ë¡£¤³¤Î geon ¤¬Â¸ºß¤¹¤ë¤È¤·¤¿¤È¤­¤Î¿¶Éñ¤¤¤òÄ´¤Ù¤¿¡£ ¤¿¤À¤·¡¢Åż§¾ì¤ÎʬÉۤȤ·¤ÆµåÂоÎÀÅŪ¤Ê¤â¤Î¤ò²¾Äꤷ¤¿¡£ £µ¡¥È¯É½¤Î¤¿¤á¤Ë¼ç¤ËRefer¤·¤¿ÏÀʸ Phys.Rev. 97 (1954) 511-536 J.A.Wheeler "Geons"
£±¡¥»á̾ °æÅÄ ÂçÊå ½ê° µþÅÔÂç³Ø Íý³Ø¸¦µæ²Ê ʪÍý³ØÂèÆ󶵼¼ Å·Âγ˸¦µæ¼¼¡£ ³Øǯ ½¤»Î£² £²¡¥È¯É½¥¿¥¤¥È¥ë Kastor-Traschen »þ¶õ¤ÎEvent Horizon¤ÈHoop Conjecture £³¡¥È¯É½ÆâÍƤ˴ؤ¹¤ë¥­¡¼¥ï¡¼¥É Kastor-Traschen solutions, black holes collision, hoop conjecture £´¡¥È¯É½ÆâÍƤΥ¢¥Ö¥¹¥È¥é¥¯¥È Kastor-Traschen²ò¤ÏCosmological Einstein-Maxwell·Ï¤Î¸·Ì©²ò¤Ç¤¢¤ê¡¢ Ǥ°Õ¸Ä¤Î²ÙÅÅ¥Ö¥é¥Ã¥¯¥Û¡¼¥ë¤Î¾×Æͤòµ­½Ò¤¹¤ë¡£ ²æ¡¹¤Ï£²¤Ä¤ÎÅù¼ÁÎ̤Υ֥é¥Ã¥¯¥Û¡¼¥ë¤¬¾×Æͤ¹¤ë¾ì¹ç¤Ë¤Ä¤¤¤Æ¡¢¤³¤Î»þ¶õ¤Î Event Horizon¤ò¿ôÃÍŪ¤Ëµá¤á¤¿¡£ ¤µ¤é¤Ë¡¢Event Horizon¤òÀ¸À®¤¹¤ënull generator¤Îpast endpoints¤«¤é¤Ê¤ë½¸ ¹ç¤òÄ´¤Ù¤¿¤È¤³¤í̵¸Â¤ËŤ¤¶ÊÀþ¤Ç¤¢¤Ã¤¿¤¬¡¢¤³¤Î¤³¤È¤¬hoop conjecture¤ËÂÐ ¤·¤Æ¤É¤Î¤è¤¦¤Ê¼¨º¶¤òÍ¿¤¨¤ë¤«¤Ë¤Ä¤¤¤ÆµÄÏÀ¤¹¤ë¡£ £µ¡¥È¯É½¤Î¤¿¤á¤Ë¼ç¤ËRefer¤·¤¿ÏÀʸ
£±¡¥¡Ê»á̾¡¢½ê°¡¢³Øǯ¡Ë À¾Ûê ÅýÇ· Áá°ðÅÄÂç³ØÂç³Ø±¡ Íý¹©³Ø¸¦µæ²Ê ʪÍý³ØµÚ±þÍÑʪÍý³ØÀ칶 Å·ÂÎʪÍý³ØÉôÌç ±§ÃèʪÍý³Ø¸¦µæ¼¼ £Ä£± £²¡¥¡Êȯɽ¥¿¥¤¥È¥ë¡Ë Spin effect on gravitational radiation £³¡¥¡ÊȯɽÆâÍƤ˴ؤ¹¤ë¥­¡¼¥ï¡¼¥É¡Ë Gravitational radiation, Gravitational waveform, Black hole perturbation approach, Spinning test particle £´¡¥¡ÊȯɽÆâÍƤΥ¢¥Ö¥¹¥È¥é¥¯¥È¡Ë We consider a spinning test particle moving on an equatorial plane of Kerr black hole and calculate its total emitted energy, total angular momentum, energy spectrum, and gravitational waveform of gravitational radiation. First, we find that the total emitted energy largely depends on (so called) spin-orbit coupling effect. Second, we can see from the energy spectrum that when the particle spin becomes anti-parallel to the black hole spin, the m=l mode spectrum supresses and the m=l-1 mode enhances. Therefore, gravitational waveform becomes complicated. The quasi-normal mode frequency is the most promissing part of detecting gravitational wave, there are some cases that the ringing tail part of gravitational wave little oscillates because of the spin-spin cancellation effect. £µ¡¥¡Êȯɽ¤Î¤¿¤á¤Ë¼ç¤ËRefer¤·¤¿ÏÀʸ¡Ë S. A. Teukolsky, Astrophys. J. 185, 635 (1973). S. Chandrasekher, The Mathematical Theory of Black Holes (Oxford University Press, 1983). T. Nakamura, K. Oohara, and Y. Kojima, Prog. Theor. Phys. Suppl. 90, 110 (1987). W. G. Dixon, Isolated Gravitating Systems in General Relativity, edited by J. Ehlers (North-Holland, Amsterdam, 1979), p.156. Y. Mino, M. Shibata and T. Tanaka, Phys. Rev. D 53, 622 (1996). T. Tanaka, Y. Mino, M. Shibata and M. Sasaki, Phys. Rev. D 54, 3762 (1996).
£±¡¥Ã«¡¡Ä¾¼ù¡Êntani@th.phys.titech.ac.jp¡Ë¡¢ºÙ롦Àи¶¸¦¡¢£Í£² £²¡¥de Sitter»þ¶õ¤Ë¤¢¤ë¥Ö¥é¥Ã¥¯¥Û¡¼¥ë¤Î°ÂÄêÀ­¡Ê²¾¡Ë £³¡¥quasinormal mode¡¢Cauchy horizon £´¡¥¥¿¥¤¥È¥ë¤Ë¤¢¤ë¤ÎÏÀʸ¤Î¾Ò²ð¤ò¤¹¤ëͽÄê¡£de Sitter»þ¶õ¤Ë¤¢¤ë ¡¡¡¡Reissner-Nordstrom¥Ö¥é¥Ã¥¯¥Û¡¼¥ë¤Î°ÂÄêÀ­¤òÄ´¤Ù¤ë¡£ ¡¡¡¡¤³¤Î»þ¶õ¤Ë¤¢¤ëCauchy horizon¤Ï¡¢¾ì¤ÎÀÝÆ°¤ËÂФ·°ÂÄê¤Ç¤¢¤ë¤³¤È¤¬È½ ¡¡¡¡¤ë¡£ £µ¡¥Felicity Mellor and Ian Moss,PHYSICAL REVIEW D,VOLUME41 ,NUMBER2(1990)
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1. »á̾ ¡§Ê¿ÅÄ ¹À°ìϺ ½ê° ¡§µþÅÔÂç³Ø ¿Í´Ö¡¦´Ä¶­³Ø¸¦µæ²Ê ±§ÃèÏÀ¥°¥ë¡¼¥× ³Øǯ ¡§Çî»Î²ÝÄø £²Ç¯ 2. ȯɽ¥¿¥¤¥È¥ë¡§¡ØÈó°ìÍͱ§Ãè¤Ë¤ª¤±¤ë¥¹¥±¡¼¥ë°ø»Ò¤Î¿¶Éñ¤¤ -- Lindquist & Wheeler ¤ÎÊýË¡¤Î³ÈÄ¥ -- ¡Ù 3. ¥­¡¼¥ï¡¼¥É ¡§Èó°ìÍͱ§Ãè¡¢Lattice Universe¡¢ÀµÂ¿ÌÌÂÎ 4. ¥¢¥Ö¥¹¥È¥é¥¯¥È¡§ ¸½ºß±§Ãè¤Î¿Ê²½¤Ï¥Õ¥ê¡¼¥É¥Þ¥óÊýÄø¼°¤ò½ÐȯÅÀ¤È¤·¤¿É¸½à±§ÃèÏÀ¤Çµ­½Ò¤µ¤ì¤Æ ¤¤¤ë¤¬¡¢±§Ã褪¤è¤Óʪ¼Á¤ÎʬÉÛ¤¬°ìÍÍÅùÊý¤Ç¤¢¤ë¤È¤¤¤¦²¾Äê¤ò´Þ¤ó¤Ç¤¤¤ë¡£ ¤·¤«¤·¸½ºß¤Î±§Ãè¤ÏÀ±¤ä¶ä²Ï¤Ê¤É¤Ë¤è¤Ã¤ÆÈó¾ï¤Ë¹â¤¤Èó°ìÍÍÀ­¤¬¤Ç¤­¤Æ¤ª¤ê¡¢ ¥Õ¥ê¡¼¥É¥Þ¥ó±§Ãè¤Ë¤è¤Ã¤ÆÀµ¤·¤¯ÄêÎÌŪ¤ËÀâÌÀ¤µ¤ì¤ë¤«¤É¤¦¤«¤Ï¤¢¤ä¤·¤¤¡£ Lindquist & Wheeler ¤Ï¡¢ÊĤ¸¤¿¶õ´Ö¤Î¾å¤ËÅù´Ö³Ö¤ËÅÀ¾õ¤Î¼ÁÎ̤òʬÉÛ¤µ¤»¤ë ¤³¤È¤ÇÈó°ìÍͱ§Ãè¤ò¹½À®¤·¡¢ËÄÄ¥±§Ãè¤òƳ¤­¡¢Î³»Ò¿ô¤¬Ìµ¸Â¤Ç°ìÍÍÅùÊý¤È¤ß¤Ê ¤·¤Æ¤¤¤¤¾ì¹ç¤Ï¥Õ¥ê¡¼¥É¥Þ¥ó±§Ãè¤È´°Á´¤Ë°ìÃפ¹¤ë¤³¤È¤òƳ¤¤¤¿¡£º£²ó¤Î¥Ý¥¹ ¥¿¡¼¤Ç¤Ï¤³¤ÎÊýË¡¤òʿ󡦳«¤¤¤¿±§Ãè¡¢»þ¶õ¤Î¼¡¸µ¤¬°Û¤Ê¤ë±§Ãè¡¢±§Ãè¹à¤ò´Þ ¤à±§Ãè¤ËÂФ·¤Æ¤½¤ì¤¾¤ìŬÍѤ·¡¢Lindquist & Wheeler ¤ÈƱ¤¸¤¯Î³»Ò¿ô̵¸Â¤Î ¶Ë¸Â¤Ç¤³¤ÎÊýË¡¤¬¥Õ¥ê¡¼¥É¥Þ¥ó±§Ãè¤òºÆ¸½¤¹¤ë¤³¤È¤È¡¢¤³¤Î¶Ë¸Â¤ò¤È¤é¤Ê¤«¤Ã ¤¿¾ì¹ç¤Ë±§ÃèËÄÄ¥¤¬ÄêÎÌŪ¤Ë¤É¤ÎÄøÅÙÊѤï¤ë¤«¤Ê¤É¤È¤¤¤¦¤³¤È¤òȯɽ¤¹¤ë¡£ 5. ¥ê¥Õ¥¡¥ì¥ó¥¹¡§ Lindquist and Wheeler, Rev. Mod. Phys. 29(1957), 432.
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