利用新的整体嵌入方法研究高维旋转黑洞的Hawking效应和Unruh效应

张丽春; 李怀繁; 赵仁

doi:10.7498/aps.60.080403

摘要

首先通过维数约化的方法,在事件视界附近将高维旋转时空线元化为二维度规(仅仅是(t－r)部分),然后利用新的整体嵌入方法研究了(1+1)维时空的Hawking温度(Unruh温度).研究结果验证了Banerjee和Majhi观点的正确性,同时将该观点推广到了高维旋转黑洞的研究,得到了高维旋转黑洞的Hawking 温度(Unruh温度).

关键词:

First, we effectively reduce the higher-dimensional rotation metric to a 2-dimensional metric near the event horizon which contains only the (t-r) sector. Then, we study the Unruh/Hawking temperature for (1+1)-dimensional space-time with the new global embedding method. It is shown that the viewpoint of Banerjee and Majhi is correct. We also extend the study to the case of higher-dimensional rotation black hole.

Keywords:

作者及机构信息

1.
山西大同大学理论物理研究所, 物理系, 大同 037009

基金项目: 国家自然科学基金 (批准号: 11075098)和山西大同大学博士科研基金资助的课题.

Authors and contacts

1.
Institute of Theoretical Physics, Department of Physics, Shanxi Datong University, Datong 037009, China

参考文献

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[52]
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[55]	Vasudevan M, Stevens K A, Page D N 2005 Class. Quantum Grav. 22 339
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施引文献

[1]	Hawking S W 1974 Nature 248 30
[2]	Hawking S W 1975 Commun. Math. Phys. 43 199
[3]
[4]	Unruh W G 1976 Phys. Rev. D 14 870
[5]
[6]	Fulling S A 1973 Phys. Rev. D 7 2850
[7]
[8]
[9]	Davies P C W 1975 J. Phys. A 8 609
[10]
[11]	Deser S, Levin O 1997 Class. Quantum Grav. 14 L163
[12]
[13]	Deser S, Levin O 1998 Class. Quantum Grav. 15 L85
[14]
[15]	Deser S, Levin O 1999 Phys. Rev. D 59 064004
[16]	Hong S T, Kim W T, Oh J J, Park Y J 2001 Phys. Rev. D 63 127502
[17]
[18]	Santos N L, Dias O J C, Lemos J P S 2004 Phys. Rev. D 70 124033
[19]
[20]
[21]	Chen H Z, Tian Y 2005 Phys. Rev. D 71 104008
[22]
[23]	Chen H Z, Tian Y, Gao Y H, Song X C 2004 J. High Energy Phys. (10) 011
[24]
[25]	Tian Y 2005 J. High Energy Phys. (06) 045
[26]
[27]	Brynjolfsson E J, Thorlactus L 2008 J. High Energy Phys. (09) 066
[28]	Hirayama T, Kao P W, Kawamoto S, Lin F L 2011 Nucl. Phys. B 844 1
[29]
[30]
[31]	Caceres E, Chernicoff M, Guijosa A, Pedraza J F 2010 J. High Energy Phys. (06) 078
[32]
[33]	Crispino L C B, Higuchi A, Matsas G E A 2008 Rev. Mod. Phys. 80 787
[34]
[35]	Banerjee R, Majhi B R 2010 Phys. Lett. B 690 83
[36]	Robinson S P, Wilczek F 2005 Phys. Rev. Lett. 95 011303
[37]
[38]
[39]	Iso S, Umetsu H, Wilczek F 2006 Phys. Rev. D 74 044017
[40]
[41]	Umetsu K 2010 Int. J. Mod. Phys. A 25 4123
[42]	Porfyriadis A P 2009 Phys. Rev. D 79 084039
[43]
[44]	Vasudevan M, Stevens K A, Page D N 2005 Class. Quantum Grav. 22 1469
[45]
[46]
[47]	Gibbons G W, Lu H, Page D N, Pope C N 2004 Phys. Rev. Lett. 93 171102
[48]
[49]	Xu Z, Chen B 2007 Phys. Rev. D 75 024041
[50]	Myers R C, Perry M J 1986 Ann. Phys. 172 304
[51]
[52]
[53]	Gibbons G W, Perry M J, Pope C N 2005 Class. Quantum Grav. 22 1503
[54]
[55]	Vasudevan M, Stevens K A, Page D N 2005 Class. Quantum Grav. 22 339
[56]
[57]	Gibbons G W, Lu H, Page D N, Pope C N 2005 J. Geom. Phys. 53 49
[58]
[59]	Zhao R, Zhang L C, Li H F, Wu Y Q 2010 Eur. Phys. J. C 65 289
[60]
[61]	Tolman R C 1987 Relativity, Thermodynamics and Cosmology (New York: Dover Pulication) p318
[62]
[63]	Yang S Z, Lin K 2010 Acta Phys. Sin. 59 5266 (in Chinese)[杨树政、林恺 2010 59 5266]
[64]
[65]	Zhang J Y, Zhao Z 2006 Acta Phys. Sin. 55 3796 (in Chinese)[张静仪、赵峥 2006 55 3796]
[66]
[67]	Wu S Q, Zeng Y, Cai X, Yan M L 2003 Acta Phys. Sin. 52 1340 (in Chinese)[吴双清、曾喻、蔡勖、阎沐霖 2003 52 1340]
[68]	Liu W B 2007 Acta Phys. Sin. 56 6164 (in Chinese )[刘文彪 2007 56 6164]
[69]
[70]	Li H L, Jiang Q Q, Yang S Z 2006 Acta Phys. Sin. 55 539 (in Chinese ) [李慧玲、蒋青权、杨树政 2006 55 539]
[71]

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