Hawking tunneling radiation in Lorentz-violating scalar field theory

Yang Shu-Zheng; Lin Kai

doi:10.7498/aps.68.20182050

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:

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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References

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Cited By

[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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Vol. 68, Issue 6 - 2019-03-20

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