整体单极黑洞量子隧穿辐射谱的具体表达式
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摘要
对于整体单极黑洞的量子隧穿辐射谱的研究,以往的文献只给出了一个与黑洞熵变的指数函数成正比的关系式。本文用正则系综模型方法,通过计算整体单极黑洞辐射球壳系统的配分函数,给出了量子隧穿辐射谱的具体表达式。
At present, for the study of the quantum tunneling radiation spectrum of the global monopole black hole,the previous paper only gives a relationship proportional to the exponential function of the black hole entropy change.A concrete expression about the quantum tunneling radiation spectrum is put forward by introducing the canonical ensemble model, and the partition function of the global monopole black hole radiation spherical shell system is calculated, and the specific expression of the quantum tunneling radiation spectrum is given.
At present, for the study of the quantum tunneling radiation spectrum of the global monopole black hole,the previous paper only gives a relationship proportional to the exponential function of the black hole entropy change.A concrete expression about the quantum tunneling radiation spectrum is put forward by introducing the canonical ensemble model, and the partition function of the global monopole black hole radiation spherical shell system is calculated, and the specific expression of the quantum tunneling radiation spectrum is given.
引文
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[4]刘门全,杨树政.具有整体单极子的Barriola-Vilenkin黑洞的量子隧穿辐射[J].云南大学学报(自然科学版),2005,27(6):471-474.
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[7]Parikh M K,Wilcaek F.Hawking radiation as tunneling[J].Phys Rev Lett,2000,85:5 042.
[8]Parikh M K.A secret tunnel through the horizon[J].Int J Mod Phys D,2004,13(10):2 351-2 354.
[9]Parikh M K.Energy conservation and hawking radiation[J].2004,arXiv:0402166[hep-th].
[10]Zhang J Y.Canonical ensemble model for the black hole quantum tunneling radiation[J].Chin Phys Lett,2013,30:070401.
[11]王志诚.热力学统计物理[M].3版.北京:高等教育出版社,2000:333-334,348-350.
[12]Chen S N,Zhang J Y.Concrete quantum tunneling spectrum of schwarzschild black holes[J].Chin Phys B,2015,24(2):020401.
[13]刘辽,赵峥,田贵花,等.黑洞与时间的性质[M].北京:北京大学出版社,2008:45-47.
[14]He T M,Yang J B,Zhang J Y.Corrected stefan-bolzmann law and lifespan of a black hole[J].Chin Phys Lett,2014,31:080401.
[2]Vilenkin A,Shellard E P S.Cosmic strings and other topological defects[M].Cambridge:Cambridge University Press,1994:60-64.
[3]Tan H W,Yang J B,Zhang J Y,et al.The global monopole spacetime and its topological charge[J].Chin Phys B,2018,27(3):030401.
[4]刘门全,杨树政.具有整体单极子的Barriola-Vilenkin黑洞的量子隧穿辐射[J].云南大学学报(自然科学版),2005,27(6):471-474.
[5]Hawking S W.Black hole explosiongs?[J].Nature,1974,248:30-31.
[6]Hawking S W.Particle creation by black holes[J].Commun Math Phys,1975,43(3):199-220.
[7]Parikh M K,Wilcaek F.Hawking radiation as tunneling[J].Phys Rev Lett,2000,85:5 042.
[8]Parikh M K.A secret tunnel through the horizon[J].Int J Mod Phys D,2004,13(10):2 351-2 354.
[9]Parikh M K.Energy conservation and hawking radiation[J].2004,arXiv:0402166[hep-th].
[10]Zhang J Y.Canonical ensemble model for the black hole quantum tunneling radiation[J].Chin Phys Lett,2013,30:070401.
[11]王志诚.热力学统计物理[M].3版.北京:高等教育出版社,2000:333-334,348-350.
[12]Chen S N,Zhang J Y.Concrete quantum tunneling spectrum of schwarzschild black holes[J].Chin Phys B,2015,24(2):020401.
[13]刘辽,赵峥,田贵花,等.黑洞与时间的性质[M].北京:北京大学出版社,2008:45-47.
[14]He T M,Yang J B,Zhang J Y.Corrected stefan-bolzmann law and lifespan of a black hole[J].Chin Phys Lett,2014,31:080401.