The solution of a modified Hamilton–Jacobi equation with Lorentz-violating scalar field

Zhang, Jie; Liu, Men-Quan; Liu, Zhi-E; Sha, Bei; Tan, Xin; Liu, Yuzhen

doi:10.1007/s10714-020-02762-3

Cited by 14 publications

(7 citation statements)

References 34 publications

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“…We have demonstrated that the event horizon and Rindler horizon in the Kinnersley spacetime can touch without violation of the third law of thermodynamics. This conclusion can also be demonstrated by using Lorentz-violating scalar field theory [49]. We will continue this research in the future.…”

Section: The Touch Temperature Of the Event Horizon And Rindler Horizonmentioning

confidence: 56%

A new touch temperature of the event horizon and Rindler horizon in the Kinnersley spacetime

Zhang

Liu

et al. 2022

Eur. Phys. J. C

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The Kinnersley spacetime not only describes a non-spherical symmetric, non-stationary and accelerating black hole, but also can be used to explore the characteristics of collision of two black holes because it has two horizons: the Rindler horizon and the event horizon. Previous research shows Rindler horizon and the event horizon cannot touch due to violation of the third law of thermodynamics. By solving a fermion dynamical equation including the Lorentz dispersion relation, we obtain a modified radiation temperature at the event horizon of the black hole, as well as the colliding temperature at the touch point of Rindler horizon and the event horizon. We find the temperature at the touch point is not equal to zero if $${\dot{r}}_H\ne 0$$ r ˙ H ≠ 0 . This result indicates that the event horizon and Rindler horizon can collide without violation of the third law of thermodynamics when Lorentz dispersion relation is considered.

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Section: The Touch Temperature Of the Event Horizon And Rindler Horizonmentioning

confidence: 56%

A new touch temperature of the event horizon and Rindler horizon in the Kinnersley spacetime

Zhang

Liu

et al. 2022

Eur. Phys. J. C

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“…Above results are from semi-classical approximation and based on spin 3/2 fermions. Beyond semi-classical approximation can refer our recent paper [37]. For spin 3/2 fermions, the wave function in Eq.…”

Section: Correction To Tunneling Radiation Of Fermions In the Kerr-ne...mentioning

confidence: 99%

“…At present, the quantum tunneling radiation of Dirac particles with etheric-like field terms has been investigated in spherically symmetric black holes [36]. We investigate the influence of different etheric-like vector u α on the solution of the modified Hamilton-Jacobi equation by using both the semi-classical approximation and beyond the semi-classical approximation [37].…”

Section: Introductionmentioning

confidence: 99%

An Improvement for Quantum Tunneling Radiation of Fermions in a Stationary Kerr-Newman Black Hole Spacetime

Zhang,

Liu,

Liu

et al. 2021

Preprint

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By introducing a specific etheric-like vector in the Dirac equation with Lorentz Invariance Violation (LIV) in the curved spacetime, an improved method for quantum tunneling radiation of fermions is proposed. As an example, we apply this new method to a charged axisymmetric Kerr-Newman black hole. Firstly, considering LIV theory, we derive a modified dynamical equation of fermion with spin 1/2 in the Kerr-Newman black hole spacetime. Then we solve the equation and find the increase or decrease of black hole's Hawking temperature and entropy are related to constants a and c of the Dirac equation with LIV in the curved spacetime. As c is positive, the new Hawking temperature is about √times higher than that without modification, but the entropy will decrease. We also make a brief discussion for the case of high spin fermions.

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“…It is believed that Lorentz symmetry, which is the foundation of general relativity, may break at high energy level. Therefore, many researchers [48][49][50][51] have proposed gravity models on the basis of Lorentz symmetry violation theory.…”

Section: Introductionmentioning

confidence: 99%

Modified Hawking temperatures of black holes in Lorentz violation theory

Christina

Singh

Meitei

2022

Int. J. Geom. Methods Mod. Phys.

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In this paper, the tunneling of scalar particles near the event horizons of Riemann space time, BTZ black hole and Schwarzschild-de Sitter black hole are investigated by applying Hamilton-Jacobi equation with Lorentz violation theory in curved space time. The modified Hamilton-Jacobi equation is derived from Klein-Gordon equation of scalar particles induced by Lorentz violation theory in curved space time. The Hawking temperatures of Riemann space time and the BTZ black hole are modified due to the effect of Lorentz violation theory. Moreover, the Bekenstein-Hawking entropy near the event horizon of Schwarzschild-de Sitter black hole is also modified due to Lorentz violation theory. It is observed that the modified values of Hawking temperatures and change in Bekenstein-Hawking entropy depend upon the ether-like vectors u α .

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The solution of a modified Hamilton–Jacobi equation with Lorentz-violating scalar field

Cited by 14 publications

References 34 publications

A new touch temperature of the event horizon and Rindler horizon in the Kinnersley spacetime

A new touch temperature of the event horizon and Rindler horizon in the Kinnersley spacetime

An Improvement for Quantum Tunneling Radiation of Fermions in a Stationary Kerr-Newman Black Hole Spacetime

Modified Hawking temperatures of black holes in Lorentz violation theory

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