洛仑兹破缺标量场的霍金隧穿辐射

杨树政; 林恺

doi:10.7498/aps.68.20182050

摘要

把洛仑兹破缺的标量场方程推广到弯曲时空中, 并通过Aether-like项对标量场方程进行修正, 该项所产生的效应也会影响到黑洞时空视界附近处的物理效应. 接着, 进一步在半经典近似下得到了修正的Hamilton-Jacobi方程, 然后用这一修正的Hamilton-Jacobi方程研究了史瓦西黑洞的隧穿辐射特征, 并讨论了洛仑兹破缺对黑洞霍金辐射和黑洞熵的影响. 结果表明, ${{ u}^\alpha } = {\text{δ}}_t^\alpha {u^t}, {\text{δ}}_r^\alpha {u^r}$形式的Aether-like项的效应可能使黑洞温度增加, 而黑洞熵降低. 该工作可以帮助我们更深刻地理解弯曲时空中的洛仑兹破缺效应的物理性质.

关键词:

Abstract

In this paper, the Lorentz-violating scalar field equation is generalized in curved spacetime, and we find that the aether-like terms modify the scalar field equation, so that the effect can correct the properties near the event horizon of black hole spacetime. We then obtain the modified Hamilton-Jacobi equation by semi-classical approximation, and investigate the Hawking radiation and black hole thermodynamics in Schwarzschild black hole spacetime. The results show that the effects of aether-like terms increase the temperature of black hole, but reduce the entropy of black hole as ${{ u}^\alpha } = {\text{δ}}_t^\alpha {u^t}, {\text{δ}}_r^\alpha {u^r}$. This work can help to understand the properties of Lorentz-violating in curved spacetime.

Keywords:

作者及机构信息

杨树政¹,
林恺^2,3

1.
西华师范大学物理与空间科学学院, 南充　637002

2.
中国地质大学(武汉)地球物理与空间信息学院, 地球内部多尺度成像湖北省重点实验室, 武汉　430074

3.
Escola de Engenharia de Lorena, Universidade de Sao Paulo, 12602-810, Lorena, Sao Paulo, Brazil

通信作者: 杨树政, szyangphys@126.com

基金项目: 国家自然科学基金(批准号: 11573022, 11805166)资助的课题.

Authors and contacts

Yang Shu-Zheng¹,
Lin Kai^2,3

1.
Department of Astronomy, China West Normal University, Nanchong 637002, China

2.
Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China

3.
Escola de Engenharia de Lorena, Universidade de Sao Paulo, 12602-810, Lorena, Brazil

Corresponding author: Yang Shu-Zheng, szyangphys@126.com

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11573022, 11805166).

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参考文献

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施引文献

[1]	Hawking S W 1974 Nature 248 30 Google Scholar
[2]	Hawking S W 1975 Commun. Math. Phys. 43 199 Google Scholar
[3]	Robinson S P, Wilczek F 2005 Phys. Rev. Lett. 95 011303 Google Scholar
[4]	Damoar T, Ruffini R 1976 Phys. Rev. D 14 332 Google Scholar
[5]	Sannan S 1988 Gen. Relativ. Gravitation 20 239 Google Scholar
[6]	Kraus P, Wilczek F 1995 Nucl. Phys. B 433 403 Google Scholar
[7]	Parikh M K, Wilczek F 2000 Phys. Rev. Lett. 85 5042 Google Scholar
[8]	Hemming S, Keski-Vakkuri E 2001 Phys. Rev. D 64 044006 Google Scholar
[9]	Jiang Q Q, Wu S Q, Cai X 2007 Phys. Rev. D 75 064029 Google Scholar
[10]	Iso S, Umetsu H, Wilczek F 2006 Phys. Rev. D 74 044017 Google Scholar
[11]	Medved A J M 2002 Phys. Rev. D 66 124009 Google Scholar
[12]	Parikh M K 2006 arXiv:hep-th/0402166
[13]	Zhang J Y, Zhao Z 2006 Phys. Lett. B 638 110 Google Scholar
[14]	Akhmedov E T, Akhmedova V, Singleton D 2006 Phys. Lett. B 642 124 Google Scholar
[15]	Srinivasan K, Padmanabhan T 1999 Phys. Rev. D 60 24007 Google Scholar
[16]	Shankaranarayanan S, Padmanabhan T, Srinivasan K 2002 Classical Quantum Gravity 19 2671 Google Scholar
[17]	Kerner R, Mann R B 2008 Classical Quantum Gravity 25 095014 Google Scholar
[18]	Kerner R, Mann R B 2008 Phys. Lett. B 665 277 Google Scholar
[19]	Li R, Ren J R, Wei S W 2008 Classical Quantum Gravity 25 125016 Google Scholar
[20]	Chen D Y, Jiang Q Q, Zu X T 2008 Classical Quantum Gravity 25 205022 Google Scholar
[21]	Criscienzo R D, Vanzo L 2008 Europhys. Lett. 82 60001 Google Scholar
[22]	Li H L, Yang S Z, Zhou T J, Lin R 2008 Europhys. Lett. 84 20003 Google Scholar
[23]	Jiang Q Q 2008 Phys. Lett. B 666 517 Google Scholar
[24]	Lin K, Yang S Z 2009 Int. J. Theor. Phys. 48 2061 Google Scholar
[25]	Lin K, Yang S Z 2009 Phys. Rev. D 79 064035 Google Scholar
[26]	Lin K, Yang S Z 2009 Phys. Lett. B 674 127 Google Scholar
[27]	Lin K, Yang S Z 2011 Chin. Phys. B 20 110403 Google Scholar
[28]	Gomes M, Nascimento J R, Petrov A Yu, da Silva J A 2010 Phys. Rev. D 81 045018 Google Scholar
[29]	Cruz M B, Bezerra de Mello E R, Petrov A Yu 2017 Phys. Rev. D 96 045019 Google Scholar
[30]	Cruz M B, Bezerra de Mello E R, Petrov A Yu 2018 Mod. Phys. Lett. A 33 1850115 Google Scholar
[31]	Borges L H C, Ferrari A F, Barone F A 2018 arXiv:1809. 08883 [hep-th]
[32]	Edwards B R, Kostelecky V A 2018 Phys. Lett. B 786 319 Google Scholar

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