Modification of Bekenstein-Hawking entropy of cylindrical symmetric black hole by Lorentz breaking theory

Li, Ran; Yu, Zi-han; Yang, Sijia

doi:10.1209/0295-5075/acbb9b

Cited by 3 publications

(2 citation statements)

References 32 publications

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“…We consider two impacts of Lorentz symmetry breaking in curved space-time, namely, the impact on the space-time background and the influence on the dynamic equations of bosons and fermions in curved space-time. Without the Lorentz-breaking modification for the space-time background, people have modified the dynamic equations of bosons and fermions in static, stationary, and non-stationary black hole space-time with Lorentzbreaking modification and carried out a series of meaningful research works on related topics [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. [1,2] show that in the Einstein-bumblebee gravity theory, due to the influence of Lorentz-breaking on the space-time background, the space-time metric of the stationary Kerr-Sen-like black hole is modified to a certain extent.…”

Section: Introductionmentioning

confidence: 99%

Modification entropy of Kerr–Sen-like black hole in Lorentz-breaking bumblebee gravity

Tan,

Wang,

Yang

2024

Front. Phys.

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The Lorentz symmetry breaking theory not only affects the space–time background but also the dynamic behavior of bosons and fermions in curved space–time. Therefore, the Lorentz symmetry breaking theory will affect the quantum tunneling rate, Hawking temperature, black hole entropy, and other physical quantities of black holes. According to the modification of the space–time background and the modification of the particle dynamic equations, the quantum tunneling radiation of the Kerr–Sen-like black hole in bumblebee gravitational theory and its related contents are deeply studied. The research methods and a series of new results obtained in this paper are discussed. This makes the research methods and conclusions in this paper of more astrophysical significance and reference value.

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Section: Introductionmentioning

confidence: 99%

Modification entropy of Kerr–Sen-like black hole in Lorentz-breaking bumblebee gravity

Tan,

Wang,

Yang

2024

Front. Phys.

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“…The magnitude of this correction term is the Planck scale [28][29][30][31]. Starting from the dynamic equations of bosons and fermions, the study of tunneling radiation of black holes by combining semi-classical theory with Lorentz breaking theory is a subject worthy of attention [32][33][34][35][36][37][38][39][40][41][42][43][44]. Therefore, this paper combines the semi-classical theory, beyond the semiclassical theory and the Lorentz breaking theory, and uses the accurate method to modify the dynamic equations of bosons and fermions to study the quantum tunneling radiation characteristics of Schwarzschild black holes in gravity's rainbow.…”

Section: Introductionmentioning

confidence: 99%

Correction of Lorentz breaking theory to quantum tunneling radiation and entropy of black hole in gravity’s rainbow

Tan,

Zhang,

2023

Phys. Scr.

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Considering the Lorentz breaking theory, the correct modified forms of the dynamic equations of bosons and fermions in curved space-time can be studied. For the new form of fermions dynamic equation through spin 1/2 Dirac particles in the black hole space-time in gravity’s rainbow, by introducing aether-like vector field and correctly constructing gamma matrix, new meaningful expressions of Hawking temperature, tunneling rate and Bekenstein-Hawking entropy of this black hole are obtained. In addition, the distribution characteristics of the energy levels of Dirac particles are also studied, and meaningful results are obtained. The research results show that the Lorentz breaking terms will cause a certain degree of correction to the tunneling radiation of fermions in the curved space-time of the black hole.

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Research on the Tunneling Radiation of Bosons from the Kerr-Sen-like Black Hole by Einstein-Bumblebee Gravitational Theory

Tan Xia,

Yang Shu-Zheng

2024

Acta Phys. Sin.

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Lorentz-breaking theory not only affects the curved space-time background, but also modifies the dynamic equations of bosons and fermions in curved space-time to some extent. Therefore, we need to make appropriate corrections for 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. In this paper, 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 in curved spacetime, the Lorentzbreaking 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 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 conditions of quantum non-thermal radiation in the black hole space-time is studied. At the end of this paper, the physical significance of a series of results obtained in this paper is discussed in depth. The results show that the modified form of the bosons dynamic equation in curved spacetime, taking into account Lorentz-breaking theory, is shown in equation (26) and equation (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 equation (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 the semiclassical case. If the effects of different powers of Planck are to be considered, the above research methods and related results need to be used for further modified research by using beyond the semi-classical theory.

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Modification of Bekenstein-Hawking entropy of cylindrical symmetric black hole by Lorentz breaking theory

Cited by 3 publications

References 32 publications

Modification entropy of Kerr–Sen-like black hole in Lorentz-breaking bumblebee gravity

Modification entropy of Kerr–Sen-like black hole in Lorentz-breaking bumblebee gravity

Correction of Lorentz breaking theory to quantum tunneling radiation and entropy of black hole in gravity’s rainbow

Research on the Tunneling Radiation of Bosons from the Kerr-Sen-like Black Hole by Einstein-Bumblebee Gravitational Theory

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