轴对称Einstein-Maxwell-Dilaton-Axion黑洞熵与能斯特定理

Abstract

Abstract:

该文利用ＢｒｉｃｋＷａｌｌ方法，计算轴对称ＥｉｎｓｔｅｉｎＭａｘｗｅｌｌＤｉｌａｔｏｎＡｘｉｏｎ黑洞背景下标量场的自由能和熵．结果表明，当黑洞具有内外视界时，所得熵不仅与外视界面积有关，而且也是内视界面积的函数．当内视界面积于零时，可回到已知结论．并且表明，用内外视界位置参量表达的熵，在黑洞辐射温度趋于绝对零度时，黑洞的熵也趋于零，它满足能斯特定理，可视为黑洞的普朗克绝对熵．

Key words: ｂｒｉｃｋｗａｌｌ方法；黑洞熵；能斯特定理

CLC Number:

83C57

ZHANG Li-Chun, WU Yue-Qin, ZHAO Ren. 轴对称Einstein-Maxwell-Dilaton-Axion黑洞熵与能斯特定理[J].Acta mathematica scientia,Series A, 2002, 22(1): 115-120.

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［１］　ＢｅｋｅｎｓｔｅｉｎＪＤ．Ｂｌａｃｋｈｏｌｅａｎｄｅｎｔｒｏｐｙ．Ｐｈｙｓ．Ｒｅｖ，１９７３，犇７：２３３３
［２］　ＨａｗｋｉｎｇＳＷ．ＰａｔｉｃｌｅＧｒｅａｔｉｏｎｂｙＢｌａｃｋＨｏｌｅ．Ｃｏｍｍｕｎ．ＭａｔｈＰｈｙｓ１９７５，４３：１９９
［３］　ＧｉｂｂｏｎｓＧＷ，ＨａｗｋｉｎｇＳＷ．Ｃｏｓｍｏｌｏｇｉｃａｌｅｖｅｎｔｈｏｒｉｚｏｎｔｈｅｒｍｏｄｙｎａｍｉｃｓ，ａｎｄｐａｒｔｉｃｌｅ，ｃｒｅａｔｉｏｎ．ＰｈｙｓＲｅｖ，１９７７，犇１５：１３０
［４］　ＨｏｃｈｂｅｒｇＤ，ＫｅｐｈａｒｔＴＷ，ＹｏｒｋＪＷ．Ｐｏｓｉｔｉｖｉｔｙｏｆｅｎｔｒｏｐｙｉｎｔｈｅｓｅｍｉｃｌａｓｓｉｃａｌｔｈｅｏｒｙｏｆｂａｃｋｈｏｌｅａｎｄｒａｄｉａｔｉｏｎ．ＰｈｙｓＲｅｖ，１９９３，犇４８：４７９
［５］　ＰａｄｍａｎａｂａｎＴ．Ｐｈａｓｅｖｏｌｕｍｅｏｃｃｕｐｉｅｄｂｙａｔｅｓｔｐａｒｔｉｃｌｅａｒｏｕｎｄａｎｉｎｃｉｐｉｅｎｔｂｌａｃｋｈｏｌｅ．ＰｈｙｓｉｃｓｌｅｔｔｅｒｓＡ，１９８９，１３６：２０３
［６］　ＬｅｅＨ，ＫｉｍＳＷ，ＫｉｍＴＷ．Ｎｏｎｖａｎｉｓｈｉｎｇｅｎｔｒｏｐｙｏｆｅｘｔｒｅｍａｌｃｈａｒｇｅｄｂｌａｃｋｈｏｌｅ．ＰｈｙｓＲｅｖ，１９９６，犇５４：６５５９［７］　Ｇ＇ｔＨｏｏｆｔ．Ｏｎｔｈｅｑｕａｎｔｕｍｓｔｒｕｃｔｕｒｅｏｆａｂｌａｃｋｈｏｌｅ．ＮｕｃｌＰｈｙｓ，１９８５，犅２５６：７２７
［８］　ＣｏｇｎｏｌａＧ，ＬｅｃｃａＰ．ＥｌｅｃｔｒｏｍａｇｎｅｔｉｃｆｉｅｌｄｓｉｎＳｃｈｗａｒｚｓｃｈｉｌｄａｎｄＲｅｉｓｓｎｅｒＮｏｒｄｓｔｒｏｍｇｅｏｍｅｔｒｙ：Ｑｕａｎｔｕｍｃｏｒｒｅｃｔｉｏｎｓｔｏｔｈｅｂｌａｃｋｈｏｌｅｅｎｔｒｏｐｙ．ＰｈｙｓＲｅｖ，１９９８，犇５７：１１０８
［９］　ＣａｉＲＧ，ＪｉＪＹ，ＳｏｈＫＳ．Ａｃｔｉｏｎａｎｄｅｎｔｒｏｐｙｏｆｂｌａｃｋｈｏｌｅｉｎｓｐａｃｅｔｉｍｅｓｗｉｔｈａｃｏｓｍｏｌｏｇｉｃａｌｃｏｎｓｔａｎｔ．ＣｌａｓｓＱｕａｎｔｕｍＧｒａｖ，１９９８，１５：２７８３
［１０］　ＳｏｌｏｄｕｋｈｉｎＳＮ．ＣｏｎｉｃａｌＳｉｎｇｕｌａｒｉｔｙａｎｄｑｕａｎｔｕｍｃｏｒｒｅｃｔｉｏｎｓｔｏｔｈｅｅｎｔｒｏｐｙｏｆａｂｌａｃｋｈｏｌｅ．ＰｈｙｓＲｅｖ，１９９５，犇５１：６０９
［１１］　ＳｏｌｏｄｕｋｈｉｎＳＮ．“Ｎｏｎｇｅｏｍｅｔｒｉｃ”ｃｏｎｔｒｉｂｕｔｉｏｎｔｏｔｈｅｅｎｔｒｏｐｙｏｆａｂｌａｃｋｈｏｌｅｄｕｅｔｏｑｕａｎｔｕｍｃｏｒｒｅｃｔｉｏｎｓ．ＰｈｙｓＲｅｖ，１９９５，犇５１：６１８
［１２］　ＳｈｅｎＹＧ，ＣｈｅｎＤＭ．ＴｈｅｑｕａｎｔｕｍｃｏｒｒｅｃｔｉｏｎｓｔｏｔｈｅｅｎｔｒｏｐｙｏｆｓｔａｔｉｏｎａｒｙａｘｉｓｙｍｍｅｔｒｉｃＥｉｎｓｔｅｉｎＭａｘｗｅｌｌＤｉｌａｔｏｎＡｘｉｏｎｂｌａｃｋｈｏｌｅ．ＧｅｎＲｅｌＧｒａｖ，１９９９，３１：３１５
［１３］　ＧａｒｃｉａＡ，ＧａｌｔｓｏｖＤ，ＫｅｃｈｋｉｎＯ．ＣｌａｓｓｏｆｓｔａｔｉｏｎａｒｙａｘｉｓｙｍｍｅｔｒｉｃｓｏｌｕｔｉｏｎｓｏｆｔｈｅＥｉｎｓｔｅｉｎＭａｘｗｅｌｌＤｉｌａｔｏｎＡｘｉｏｎＦｉｅｌｄＥｑｕａｔｉｏｎｓ．ＰｈｙｓＲｅｖＬｅｔｔ，１９９５，７４：１２７６
［１４］　ＭａｎｎＲＢ，ＴａｒａｓｏｖＬ，ＺｅｌｎｉｋｏｖＡ．Ｂｒｉｃｋｗａｌｌｓｆｏｒｂｌａｃｋｈｏｌｅ．ＣｌａｓｓＱｕａｎｔｕｍＧｒａｖ，１９９２，９：１４８７
［１５］　ＺｈａｏＲｅｎ，ＺｈａｎｇＬｉｃｈｕｍ，ＷｕＹｕｅｑｉｎ．ＴｈｅＮｅｒｎｓｔｔｈｅｏｒｅｍａｎｄｅｎｔｒｏｐｙｏｆｔｈｅＲｅｉｓｓｎｅｒＮｏｒｄｓｔｒｏｍｂｌａｃｋｈｏｌｅ．ＧｅｎＲｅｌＧｒａｖ，２０００，３２：１６３９５
［１６］　ＺｈａｏＺｈｅｎｇ，Ｚｈｕｊｉａｎｙａｎｇ，ＬｉｕＷｅｎｂｉａｏ．ＥｎｔｒｏｐｙｏｆＫｅｒｒＮｅｗｍａｎｂｌａｃｋｈｏｌｅｃｏｎｔｉｎｕｏｕｓｌｙｇｏｅｓｔｏｚｅｒｏｗｈｅｎｔｈｅ
ｈｏｌｅｃｈａｎｇｅｓｆｒｏｍｎｏｎｅｘｔｒｅｍｅｃａｓｅｔｏｅｘｔｒｅｍｅｃａｓｅ．ＣｈｉｎｅｓｅＰｈｙｓｉｃｓｌｅｔｔｅｒｓ，１９９９，１６：６９８
［１７］　李传安．黑洞的普朗克绝对熵公式．物理学报，２００１，５０（５）：９８６

[1]	SUN Ming-Chao. Quantum Entropy of the Electromagnetic Field in Vaidya Bonner de Sitter Black Hole [J]. Acta mathematica scientia,Series A, 2005, 25(1): 67-72.
[2]	DIAO Ren, ZHANG Li-Chun. Quantum Statistical Entropy of Black Hole [J]. Acta mathematica scientia,Series A, 2004, 4(5): 513-520.
[3]	CHENG Xie-Feng, LI Chuan-An. Research on the Quantum Thermal Effect and Planck Absolute Entropy of the Interior and Exterior Horizon Black Hole Based on Dirac Equation [J]. Acta mathematica scientia,Series A, 2003, 23(4): 444-448.
[4]	LI Gu-Qiang, LI Zhong-Heng. Quantum Corrects to the Entropy of the Barriola Vilenkin Black Hole Due to Spin Fields [J]. Acta mathematica scientia,Series A, 2003, 23(3): 314-319.
[5]	ZHANG Li-Chun, HAN Fu-Long-；Diao-Ren-. The Nernst Theorem and Statistical Entropy of the Dirac Field \=in ReissnerNordstrom Black Hole Geometry [J]. Acta mathematica scientia,Series A, 2003, 23(1): 77-83.

轴对称Einstein-Maxwell-Dilaton-Axion黑洞熵与能斯特定理

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