Tunneling radiation of bosons from the Kerr-Sen-like black hole by Einstein-Bumblebee gravitational theory

Tan Xia; Yang Shu-Zheng

doi:10.7498/aps.73.20231463

Abstract

Lorentz-breaking theory not only affects the curved space-time background, but also corrects the dynamic equations of bosons and fermions in curved space-time to some extent. Therefore, we need to make appropriate corrections to the quantum tunneling radiation of bosons and fermions in different black hole spacetimes. New expressions of black hole Hawking temperature and other physical quantities modified by Lorentz-breaking theory and their physical meanings are obtained. According to the Kerr-Sen-like (KSL) black hole spacetime metric obtained from Einstein-Bumblebee gravitational theory, by introducing the correction term of the aether-like field vector into the scalar field action and the d’Alembert operator in curved spacetime, and applying the variational principle to curved spacetime, the Lorentz-breaking correction term in the spacetime metric and the new form of the dynamic equation of the bosons with zero spin in KSL spacetime are studied. By correctly selecting the aether-like field vector corresponding to the KSL spacetime metric and solving the modified bosons dynamic equation, the modified quantum tunneling rate is obtained. On this basis, the Hawking temperature and the Bekenstein-Hawking entropy of the black hole with Lorentz-breaking correction term are studied. The effects of Lorentz-breaking theory on the distribution of positive and negative energy levels of bosons and the maximum crossing of energy levels are also studied, and then the condition of quantum non-thermal radiation in the black hole space-time is studied. Finally, the physical significance of a series of results obtained in this work is discussed in depth. The results show that the modified form of the bosons dynamic equation in curved spacetime, with Lorentz-breaking theory taken into account, is shown in Eqs. (26) and (27). The new expressions of the quantum tunneling rate, Bekenstein-Hawking entropy, Hawking temperature and quantum non-thermal radiation energy range of KSL black hole are obtained by applying Eq. (26) to KSL black hole space-time. These results are useful for studying the quantum tunneling radiation characteristics of black holes. It should be noted that the above research results are obtained under the WKB theory and in the semiclassical case. If the effects of different powers of Planck are considered, the above research methods and related results need to be used for conducting further modified research by using the transcendental semi-classical theory.

Keywords:

Lorentz-breaking /
Einstein-Bumblebee gravitational theory /
Kerr-Sen-like black hole /
Bekenstein-Hawking entropy

Authors and contacts

Tan Xia¹,
Yang Shu-Zheng²

1.
College of Physics and Electronic Engineering, Qilu Normal University, Jinan 250200, China
2.
College of Physics and Space Science, China West Normal University, Nanchong 637002, China

Corresponding author: Tan Xia, 20152329@qlnu.edu.cn ; Yang Shu-Zheng, szyangphys@126.com

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 12373109).

FullText HTML

References

[1]	Carroll M S, Field G B, Jackiw R 1990 Phys. Rev. D 41 1231 Google Scholar
[2]	Jackiw R, Kostelecky V A 1999 Phys. Rev. Lett. 82 3572 Google Scholar
[3]	Coleman S, Glashow S L 1999 Phys. Rev. D 59 116008 Google Scholar
[4]	Kruglov S I 2012 Phys. Lett. B 718 228 Google Scholar
[5]	Amelino-Camelia G, Ahluwalia D V 2002 Int. J. Mod. Phys. D 11 35 Google Scholar
[6]	Amelino-Camelia G 2004 New J. Phys. 6 188 Google Scholar
[7]	Magueijo J, Smolin L 2002 Phys. Rev. Lett 88 190403 Google Scholar
[8]	Magueijo J, Smolin L 2003 Phys. Rev. D 67 044017 Google Scholar
[9]	Ellis J, Mavromatos N E, Nenopoulos D V 1992 Phys. Lett. B 293 37 Google Scholar
[10]	Ellis J, Mavromatos N E, Nenopoulos D V 1999 Chaos Solitons Fractals 10 345 Google Scholar
[11]	Ellis J R, Mavromatos N E, Sakharov A S 2004 Astropart. Phys. 20 669 Google Scholar
[12]	Kruglov S I 2013 Mod. Phys. Lett. A 28 1350014 Google Scholar
[13]	Jacobson T, Liberati S, Mattingly D 2003 Nature 424 1019 Google Scholar
[14]	Yang S Z, Lin K, Li J, Jiang Q Q 2016 Adv. High Energy Phys. 2016 7058764 Google Scholar
[15]	杨树政, 林恺 2019 68 060401 Google Scholar Yang S Z, Lin K 2019 Acta Phys. Sin. 68 060401 Google Scholar
[16]	Yang S Z, Lin K 2019 Sci. Sin-Phys Mech. Astron. 49 019503 Google Scholar
[17]	Li R, Yu Z H, Yang S Z 2023 EPL 141 50001 Google Scholar
[18]	Li R, Ding Q T, Yang S Z 2022 EPL 138 60001 Google Scholar
[19]	Tan X, Liu Y Z, Liu Z E, Sha B, Zhang J, Yang S Z 2020 Mod. Phys. Lett. A 35 2050168 Google Scholar
[20]	Zhang J, Liu Z E, Sha B, Tan X, Liu Y Z, Yang S Z 2020 Adv. High Energy Phys. 2020 2742091 Google Scholar
[21]	Sha B, Liu Z E, Liu Y Z, Tan X, Zhang J, Yang S Z 2020 Chin. Phys. C 44 125104 Google Scholar
[22]	Liu Z E, Tan X, Liu Y Z, Sha B, Zhang J, Yang S Z 2021 Can. J. Phys. 99 451 Google Scholar
[23]	Liu Y Z, Sha B, Tan X, Liu Z, Liu J 2020 Can. J. Phys. 98 999 Google Scholar
[24]	Gomes M, Nascimento J R, Petrov A Y, da Silva A J 2010 Phys. Rev. D 81 045018 Google Scholar
[25]	Mariz T, Nasimento J R, Petrov A Y, Serafim W 2014 Phys. Rev. D 90 045015 Google Scholar
[26]	Casano R, Ferreira M M, Maluf R, dos Santos E P 2013 Phys. Lett. B 726 815 Google Scholar
[27]	Klinkhammer F R, Schreck M 2011 Nucl. Phys. B 848 90 Google Scholar
[28]	Klinkhammer F R, Schreck M 2012 Nucl. Phys. B 856 666 Google Scholar
[29]	Brito F A, Nascimento J R, Passos E, et al. 2007 JHEP 2007 6 Google Scholar
[30]	Li R, Yu Z H, Yang S Z 2022 EPL 139 59001 Google Scholar
[31]	Sohan Kumar Jha, Anisur Rahaman 2021 Eur. Phys. J C 81 345 Google Scholar
[32]	Carleo A, Lambiase G, Mastrototaro L 2022 Eur. Phys. J. C 82 776 Google Scholar
[33]	Yang S Z, Zhao Z 1996 Int. J. Theor. Phys. 35 2455 Google Scholar
[34]	Polarski David, Starobinsky A A 1994 Phys. Rev. D 50 6123 Google Scholar
[35]	Unruh W G 1974 Phys. Rev. D 10 3194 Google Scholar
[36]	Kraus P, Wilczek F 1995 Nucl. Phys. B 433 403 Google Scholar
[37]	Parikh M K, Wilczek F 2000 Phys. Rev. Lett. 85 5042 Google Scholar

Cited By

[1]	Carroll M S, Field G B, Jackiw R 1990 Phys. Rev. D 41 1231 Google Scholar
[2]	Jackiw R, Kostelecky V A 1999 Phys. Rev. Lett. 82 3572 Google Scholar
[3]	Coleman S, Glashow S L 1999 Phys. Rev. D 59 116008 Google Scholar
[4]	Kruglov S I 2012 Phys. Lett. B 718 228 Google Scholar
[5]	Amelino-Camelia G, Ahluwalia D V 2002 Int. J. Mod. Phys. D 11 35 Google Scholar
[6]	Amelino-Camelia G 2004 New J. Phys. 6 188 Google Scholar
[7]	Magueijo J, Smolin L 2002 Phys. Rev. Lett 88 190403 Google Scholar
[8]	Magueijo J, Smolin L 2003 Phys. Rev. D 67 044017 Google Scholar
[9]	Ellis J, Mavromatos N E, Nenopoulos D V 1992 Phys. Lett. B 293 37 Google Scholar
[10]	Ellis J, Mavromatos N E, Nenopoulos D V 1999 Chaos Solitons Fractals 10 345 Google Scholar
[11]	Ellis J R, Mavromatos N E, Sakharov A S 2004 Astropart. Phys. 20 669 Google Scholar
[12]	Kruglov S I 2013 Mod. Phys. Lett. A 28 1350014 Google Scholar
[13]	Jacobson T, Liberati S, Mattingly D 2003 Nature 424 1019 Google Scholar
[14]	Yang S Z, Lin K, Li J, Jiang Q Q 2016 Adv. High Energy Phys. 2016 7058764 Google Scholar
[15]	杨树政, 林恺 2019 68 060401 Google Scholar Yang S Z, Lin K 2019 Acta Phys. Sin. 68 060401 Google Scholar
[16]	Yang S Z, Lin K 2019 Sci. Sin-Phys Mech. Astron. 49 019503 Google Scholar
[17]	Li R, Yu Z H, Yang S Z 2023 EPL 141 50001 Google Scholar
[18]	Li R, Ding Q T, Yang S Z 2022 EPL 138 60001 Google Scholar
[19]	Tan X, Liu Y Z, Liu Z E, Sha B, Zhang J, Yang S Z 2020 Mod. Phys. Lett. A 35 2050168 Google Scholar
[20]	Zhang J, Liu Z E, Sha B, Tan X, Liu Y Z, Yang S Z 2020 Adv. High Energy Phys. 2020 2742091 Google Scholar
[21]	Sha B, Liu Z E, Liu Y Z, Tan X, Zhang J, Yang S Z 2020 Chin. Phys. C 44 125104 Google Scholar
[22]	Liu Z E, Tan X, Liu Y Z, Sha B, Zhang J, Yang S Z 2021 Can. J. Phys. 99 451 Google Scholar
[23]	Liu Y Z, Sha B, Tan X, Liu Z, Liu J 2020 Can. J. Phys. 98 999 Google Scholar
[24]	Gomes M, Nascimento J R, Petrov A Y, da Silva A J 2010 Phys. Rev. D 81 045018 Google Scholar
[25]	Mariz T, Nasimento J R, Petrov A Y, Serafim W 2014 Phys. Rev. D 90 045015 Google Scholar
[26]	Casano R, Ferreira M M, Maluf R, dos Santos E P 2013 Phys. Lett. B 726 815 Google Scholar
[27]	Klinkhammer F R, Schreck M 2011 Nucl. Phys. B 848 90 Google Scholar
[28]	Klinkhammer F R, Schreck M 2012 Nucl. Phys. B 856 666 Google Scholar
[29]	Brito F A, Nascimento J R, Passos E, et al. 2007 JHEP 2007 6 Google Scholar
[30]	Li R, Yu Z H, Yang S Z 2022 EPL 139 59001 Google Scholar
[31]	Sohan Kumar Jha, Anisur Rahaman 2021 Eur. Phys. J C 81 345 Google Scholar
[32]	Carleo A, Lambiase G, Mastrototaro L 2022 Eur. Phys. J. C 82 776 Google Scholar
[33]	Yang S Z, Zhao Z 1996 Int. J. Theor. Phys. 35 2455 Google Scholar
[34]	Polarski David, Starobinsky A A 1994 Phys. Rev. D 50 6123 Google Scholar
[35]	Unruh W G 1974 Phys. Rev. D 10 3194 Google Scholar
[36]	Kraus P, Wilczek F 1995 Nucl. Phys. B 433 403 Google Scholar
[37]	Parikh M K, Wilczek F 2000 Phys. Rev. Lett. 85 5042 Google Scholar

[1]	Liu Cheng-Zhou, Deng Yue-Jun, Luo Ye-Cheng. Entropy spectrum and area spectrum of Kerr black hole in gravity's rianbow. Acta Physica Sinica, 2018, 67(6): 060401. doi: 10.7498/aps.67.20172374
[2]	Xie Zhi-Kun. Hawking radiation in a dynamical Kerr black hole using a new tortoise coordinate. Acta Physica Sinica, 2011, 60(9): 090403. doi: 10.7498/aps.60.090403
[3]	Lin Kai, Yang Shu-Zheng. Tunneling radiation and entropy correction of arbitrary spin particles in Kerr-de Sitter black hole. Acta Physica Sinica, 2010, 59(8): 5266-5270. doi: 10.7498/aps.59.5266
[4]	Zhang Li-Chun, Zhao Ren. Radiation spectrum of Kerr-Newman-de Sitter black hole and correction to its entropy. Acta Physica Sinica, 2010, 59(4): 2217-2222. doi: 10.7498/aps.59.2217
[5]	Zeng Xiao-Xiong. Entropy correction to Kerr-Newman black hole. Acta Physica Sinica, 2010, 59(1): 92-96. doi: 10.7498/aps.59.92
[6]	Hu Shuang-Qi, Zhang Li-Chun, Zhao Ren. Hawking radiation of Schwarzschild-de Sitter black hole. Acta Physica Sinica, 2009, 58(10): 6798-6801. doi: 10.7498/aps.58.6798
[7]	Zhao Ren, Zhang Li-Chun, Li Huai-Fan. Hawking radiation of black hole. Acta Physica Sinica, 2008, 57(12): 7463-7466. doi: 10.7498/aps.57.7463
[8]	Zhao Ren, Zhang Li-Chun, Zhang Sheng-Li. Canonical entropy of black hole. Acta Physica Sinica, 2007, 56(7): 3719-3722. doi: 10.7498/aps.56.3719
[9]	Zhao Ren, Zhang Li-Chun, Hu Shuang-Qi. Statistical entropy of the black hole. Acta Physica Sinica, 2006, 55(8): 3902-3905. doi: 10.7498/aps.55.3902
[10]	Jiang Qing-Quan, Wu Shuang-Qing. New form of the Kerr solution and its tunneling radiation. Acta Physica Sinica, 2006, 55(9): 4428-4432. doi: 10.7498/aps.55.4428
[11]	Wang Li-Ping, Zhu Jian-Yang. Microcanonical statistics of Kerr black holes and the bootstrap condition. Acta Physica Sinica, 2005, 54(11): 5504-5510. doi: 10.7498/aps.54.5504
[12]	Li Gu-Qiang. Statistical entropy of Kerr-Newman-de Sitter black hole. Acta Physica Sinica, 2005, 54(7): 3005-3008. doi: 10.7498/aps.54.3005
[13]	Zhang Li-Chun, Zhao Ren. The entropy of Sen black hole and the Nernst theorem. Acta Physica Sinica, 2004, 53(2): 362-366. doi: 10.7498/aps.53.362
[14]	Sun Ming-Chao. Quantum entropy of the Vaidya-Bonner-de Sitter black hole arising from gravitati onal fields. Acta Physica Sinica, 2003, 52(6): 1350-1353. doi: 10.7498/aps.52.1350
[15]	Zhao Yun, Zhang Chun-Li. . Acta Physica Sinica, 2002, 51(6): 1167-1170. doi: 10.7498/aps.51.1167
[16]	FENG SHI-XIANG, LI XI-GUO, HUANG YONG-CHANG. A DISCUSSION ABOUT "A COMMENT ON ′GENERAL CONSERVATION LAWS IN EINSTEIN-CARTAN THEORY′". Acta Physica Sinica, 1994, 43(8): 1226-1227. doi: 10.7498/aps.43.1226
[17]	LI CHENG-YAO. A COMMENT ON "GENERAL CONSERVATION LAWS IN EINSTEIN-CARTAN THEORY". Acta Physica Sinica, 1993, 42(2): 193-197. doi: 10.7498/aps.42.193
[18]	DUAN YI-SHI, LIU JI -CHENG, DONG XUE-GENG. GENERAL CONVERSATION LAWS IN EINSTEIN-CARTAN THEORY. Acta Physica Sinica, 1987, 36(6): 760-768. doi: 10.7498/aps.36.760
[19]	LIU YAO-YANG, YUAN KA-JIA, ZHANG YUAN-ZHONG. THE CANONICAL FORMALISM OF A LORENTZ GAUGE THEORY OF GRAVITATION. Acta Physica Sinica, 1986, 35(8): 1062-1071. doi: 10.7498/aps.35.1062
[20]	XU CHONG-MING, SHEN YOU-GEN. THE HAWKING EVAPORATION OF DIRAC PARTICLES IN GENERAL KERR-NEWMAN BLACK HOLE BACKGROUND. Acta Physica Sinica, 1982, 31(2): 207-212. doi: 10.7498/aps.31.207

Catalog

Vol. 73, Issue 4 - 2024-02-20

Metrics

Abstract views: 2390
PDF Downloads: 39
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板