Hawking radiation from a Reissner-Nordstrom-AdS black hole with integral monopoles in extended phase space

Han Yi-Wen; Hu Cheng; Hong Yun

doi:10.7498/aps.73.20231277

Abstract

In recent years, thermodynamics and phase transitions of black holes in extended phase space have been extensively studied. The results show that the original first law of thermodynamics needs revising and new phase transitions will appear. However, so far, Hawking tunneling radiation has not been widely studied in the extended phase space. In particular, whether the tunneling radiation probability changes at this time is still uncertain. This work focuses on this topic, that is, to calculate the specific value of the tunneling probability in the extended phase space and ascertains whether the results obtained in the normal phase space are consistent with those in the extended phase space. The methods used herein are described below. Taking Reissner-Nordstrom-AdS black holes with global monopole for example, the cosmological parameters are regarded as dynamic variables, which is different from previous treatment methods that regard them as constants and ignore their contributions to the tunneling probability. In particular, cosmological parameters are introduced and regarded as thermodynamic pressure when the tunneling probability is calculated, and their contribution to the tunneling probability is considered. In the work the tunneling process of mass particles is mainly studied. The outgoing particles are viewed as spherical de Broglie waves, and then the relative phase velocity and group velocity are calculated. The geodesic equation is obtained according to the relationship between the two velocities, and the tunneling probability is calculated from the geodesic equation. It is concluded that the results show that the tunneling probability of the ingoing particles is proportional to the difference in the Bekenstein-Hawking entropy of the black hole before and after the particles tunnel, and the radiation spectrum deviates from the pure thermal spectrum, which is exactly the same as the case that the cosmological parameters are treated as constants. This means that the tunneling probability of particles can be obtained in the extended phase space, and the tunneling process does not depend on thermodynamic parameters. In addition, it is found that although the global monopole affects the dynamical behavior and thermodynamic quantity of the particle, it does not affect the entropy change or tunneling rate. In other words, the conclusion that the tunneling probability in extended phase space is exactly the same as that in normal phase space does not depend on the space-time topology.

Keywords:

Authors and contacts

1.
Department of Physics, Chongqing Technology and Business University, Chongqing 400067, China
2.
College of Basic Teaching, Chengdu Neuss of University, Chengdu 611844, China

Corresponding author: Han Yi-Wen, hanyw1965@163.com

Funds: Project supported by the Basic Research of Science and Technology Committee of Chongqing, China (Grant No. CSTB2023NSCQ-MSX0594).

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Cited By

[1]	Akiyama K, Alberdi A, Alef W, et al. 2019 Astrophys. J. Lett. 875 L1 Google Scholar
[2]	Hawking S W 1974 Nature 248 30 Google Scholar
[3]	Hawking S W 1975 Commun. Math. Phys. 43 199 Google Scholar
[4]	Christodoulou D 1970 Phys. Rev. Lett. 25 1596 Google Scholar
[5]	BardeenJ M 1970 Nature 226 64 Google Scholar
[6]	Bekenstein J D 1973 Phys. Rev. D 7 2333 Google Scholar
[7]	Damour T, Ruffini R 1976 Phys. Rev. D 14 332 Google Scholar
[8]	Gibbons G W, Hawking S W 1977 Phys. Rev. D 15 2752 Google Scholar
[9]	York J W 1986 Phys. Rev. D 33 2091 Google Scholar
[10]	Whiting B F, York J W 1988 Phys. Rev. Lett. 61 1336 Google Scholar
[11]	Punsly B 1992 Phys. Rev. D 46 1288 Google Scholar
[12]	Srinivasan K, Padmanabhan T 1999 Phys. Rev. D 60 024007 Google Scholar
[13]	Robinson S P, Wilczek F 2005 Phys. Rev. Lett. 95 011303 Google Scholar
[14]	Han Y W, Zhang J Y 2010 Phys. Lett. B 692 74 Google Scholar
[15]	Han Y W, Chen G 2012 Phys. Lett. B 714 127 Google Scholar
[16]	ParikhM K, Wilczek F 2000 Phys. Rev. Lett. 85 5042 Google Scholar
[17]	Hemming S, Keski-Vakkuri E 2001 Phys. Rev. D 64 044006 Google Scholar
[18]	Vagenas E C 2002 Phys. Lett. B 533 302 Google Scholar
[19]	Medved A J M 2002 Phys. Rev. D 66 124009 Google Scholar
[20]	Setare M R, Vagenas E C 2004 Phys. Lett. B 584 127 Google Scholar
[21]	Parikh M 2004 Int. J. Mod. Phys. D 13 2351 Google Scholar
[22]	Zhang J, Zhao Z 2005 Nucl. Phys. B 725 173 Google Scholar
[23]	Medved A J M, Vagenas E C 2005 Mod. Phys. Lett. A 20 2449 Google Scholar
[24]	Zhang J, Zhao Z 2011 Phys. Rev. D 83 064028 Google Scholar
[25]	韩亦文 2005 物理学报 54 5018 Google Scholar Han Y W 2005 Acta Phys. Sin. 54 5018 Google Scholar
[26]	Han Y W 2005 Chin. Phys. Lett. 22 2769 Google Scholar
[27]	张靖仪, 赵峥 2006 物理学报 55 3796 Google Scholar Zhang J Y, Zhao Z 2006 Acta Phys. Sin. 55 3796 Google Scholar
[28]	Liu W 2006 Phys. Lett. B 634 541 Google Scholar
[29]	Han Y W 2007 Chin. Phys. 16 0923 Google Scholar
[30]	HanY W, Yang S Z 2007 Commun. Theor. Phys. 47 1145 Google Scholar
[31]	Jiang Q Q, Wu S Q 2006 Phys. Lett. B 635 151 Google Scholar
[32]	Jiang Q Q, Wu S Q, Cai X 2006 Phys. Rev. D 73 064003 Google Scholar
[33]	Jiang Q Q, Cai X 2009 JHEP 11 110 Google Scholar
[34]	Ding C, Wang M, Jing J 2009 Phys. Lett. B 676 99 Google Scholar
[35]	Zeng X X, Yang S Z 2009 Chin. Phys. B 18 462 Google Scholar
[36]	Christina S, Singh T I 2021 Gen Relativ Gravit 53 43 Google Scholar
[37]	Vishnulal C, Basak S, Das S 2021 Phys. Rev. D 104 104011 Google Scholar
[38]	Cai R G, Cao L M, Li L, Yang R Q 2013 JHEP2013 5 Google Scholar
[39]	Johnson C V 2014 Class. Quant. Grav. 31 205002 Google Scholar
[40]	Caceres E, Nguyen P H, Pedraza J F 2015 JHEP 2015 184 Google Scholar
[41]	Mandal A, Samanta S, Majhi B R 2016 Phys. Rev. D 94 064069 Google Scholar
[42]	Caldarelli M M, Cognola G, Klemm D 2000 Class. Quantum Grav. 17 399 Google Scholar
[43]	Hendi S H, Panahiyan S, EslamPanah B, Momennia M 2016 Ann. Phys. (Berlin) 528 819 Google Scholar
[44]	Kastor D, Ray S, Traschen J 2009 Class. Quant. Grav. 26 195011 Google Scholar
[45]	Kubizňák D, Mann R B 2012 JHEP 2012 33 Google Scholar
[46]	DolanB P 2011 Class. Quant. Grav. 28 125020 Google Scholar
[47]	Cvetič M, Gibbons G W, Kubizňák D 2011 Phys. Rev. D 84 024037 Google Scholar
[48]	Altamirano N, Kubizňák D, Mann R B 2013 Phys. Rev. D 88 101502 Google Scholar
[49]	Dolan B P, Kostouki A, Kubizňák D 2014 Class. Quant. Grav. 31 242001 Google Scholar
[50]	Hennigar R A, Mann R B, Tjoa E 2017 Phys. Rev. Lett. 118 021301 Google Scholar
[51]	Wei S W, Liu Y X, Mann R B 2019 Phys. Rev. Lett. 123 071103 Google Scholar
[52]	Zeng X X, Han Y W, Che D Y 2019 Chin. Phys. C 43 105104 Google Scholar
[53]	Han Y W, Zeng X X, Hong Y 2019 Eur. Phys. J. C 79 252 Google Scholar
[54]	Ren Z X, Zeng X X, Han Y W, Hu C 2023 Nucl. Phys. B 990 116153 Google Scholar
[55]	Barriola M, Vilenkin A 1989 Phys. Rev. Lett. 63 341 Google Scholar
[56]	Yu H W 1994 Nucl. Phys. B 430 427 Google Scholar
[57]	He A, Tao J, Wang P, Xue Y, Zhang L 2022 Eur. Phys. J. C 82 683 Google Scholar
[58]	Chen S, Wang L, Ding C, et al. 2010 Nucl. Phys. B 836 222 Google Scholar
[59]	曾晓雄, 胡馨匀, 韩亦文, 刘显明 2015 中国科学: 物理学力学天文学 45 080401 Google Scholar Zeng X X, Hu X Y, Han Y W, Liu X M 2015 Sci. China-Phys. Mech. Astron. 45 080401 Google Scholar
[60]	周亮, 张靖仪 2010 物理学报 59 4380 Google Scholar Zhou L, Zhang J Y 2010 Acta Phys. Sin. 59 4380 Google Scholar
[61]	Gao C J, Sen Y G 2002 Chin. Phys. Lett. 19 477 Google Scholar
[62]	Painlevé P 1921 Comptes Rendus Academie des Sciences (Serie Non Specifiee) 173 677
[63]	Gullstrand A 1922 Arkiv. Mat. Astron. Fys. 16 15

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