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In this work, we study the first order corrections of Hawking temperature and entropy for modified Schwarzschild–Rindler black hole. To do so, we use the modified Lagrangian equation for vector particles in the background of quantum correction parameter δ . We examine the graphical interpretation of the corrected Hawking temperature with respect to horizon under the effects of correction parameter in order to verify the gravitational effects on the geometry of the modified Schwarzschild–Rindler black hole. We perform a graphic analysis of the modified Schwarzschild–Rindler black hole's physical state as a function of the mass and Rindler acceleration under the effects of correction parameter. Moreover, we derive the corrected entropy and study the effects of mass and Rindler acceleration parameter on entropy under different variations of correction parameter. [ABSTRACT FROM AUTHOR]

With the introduction of CFJ correction term, Chiral correction term, and aether-like correction term, based on Lorentz breaking, WKB approximate, and quantum tunneling radiation theory of black holes, the modified fermion dynamics equation is studied in the general non-stationary spherically symmetric black hole space-time, and the new modified expressions of the fermion tunneling rate, the Hawking temperature, and the Bekenstein–Hawking entropy of the black hole are obtained. This black hole has both thermal and non-thermal radiation. In this article, the influence of Lorentz breaking on the energy levels of Dirac particles was also studied, and the distribution characteristics of Dirac energy levels in the space-time and the maximum value of the crossing of positive and negative energy levels were obtained. The necessary discussion and the explanation of the corresponding results are made. [ABSTRACT FROM AUTHOR]

In this paper, in the curved space-time of Kerr-Newman-Ads black hole, the scalar particle dynamics equation is modified in consideration of Lorentz symmetry breaking. On this basis, the quantum tunneling radiation of the black hole is precisely modified, and the modified expressions of Hawking temperature and entropy of the black hole are obtained; In order to further obtain the correction effect of the Planck scale, this paper considers a more accurate correction method beyond the semi-classical theory, and further obtains a new expression of the black hole temperature and entropy. The physical significance of a series of new results obtained is also discussed. [ABSTRACT FROM AUTHOR]

In this paper, the tunneling radiations of spin 1/2 and spin 3/2 fermions from the nonstationary Kerr black hole are investigated. First, according to the Dirac equation and the Rarita–Schwinger equation, the Hamilton–Jacobi equations for spin 1/2 and 3/2 fermions are derived. Then, the tunneling behavior of fermions on the event horizon of the black hole is investigated. Finally, the thermodynamic properties of the nonstationary Kerr black hole are obtained. [ABSTRACT FROM AUTHOR]

By using the Parikh-Wilczek (PW) quantum tunneling method, the Hawking radiation of black holes in massive gravity is investigated, the emission rate of particles and the black hole entropy are calculated. It is shown that the emission spectrum is not purely thermal, depends on the increment of the black hole entropy, consists with an accurate unitary theory and supports the standpoint of information conservation. Unlike other modified gravities, the entropy of the massive gravity black hole unexpectedly conforms to the area law just as that of Einstein gravity black hole. [ABSTRACT FROM AUTHOR]

We extend the Parikh-Wilczek method from Einstein gravity spacetime to Gauss-Bonnet modified gravity and study the tunneling radiation of particles across the event horizon of a d-dimensional Gauss-Bonnet Anti de-Sitter black hole. The emission rate of a particle is calculated. It is shown that the emission rate of massive particles takes the same functional form as that of massless particles although that their motion equations tunneling across the horizon are different. It is also shown that the emission spectrum deviates from the pure thermal spectrum but is consistent with an underlying unitary theory. In addition, significant but interesting phenomenon is demonstrated when Gauss-Bonnet term is present. The expression of the emission rate for a black hole in Gauss-Bonnet gravity differs from that for a black hole in Einstein gravity. After adopting the conventional tunneling rate, we obtain the expression of the entropy of the Gauss-Bonnet black hole, which is in accordance with the early results but does not obey the area law. So the research of tunneling radiation in this paper may serve as a new perspective of understanding the thermodynamics of black holes in Gauss-Bonnet gravity. [ABSTRACT FROM AUTHOR]

The Newman–Janis technique and the semi-classical Hamilton–Jacobi approach are two distinct phenomena that we apply in this paper to examine the Hawking temperature (T H) for 4-dimensional gauge super gravity like black hole with rotation parameters. First, using the Newman–Janis algorithmic approach, we compute the gauge super gravity like black holes solution. We use surface gravity to derive the T H for a gauge super gravity like black hole. In order to do this, we use the Lagrangian field equation in the background of generalized uncertainty principle, semi-classical Hamilton–Jacobi approach and the WKB approximation technique. Furthermore, we investigate the stability of considered geometry with the help of corrected entropy and well known thermodynamic quantities. It is concluded that the gauge super gravity like black holes is stable under first-order corrections. • First, using the Newman–Janis algorithmic approach, we compute the gauge super gravity like black holes solution. • We use surface gravity to derive the T H for a gauge super gravity like black hole. • We investigate the stability of considered geometry with the help of corrected entropy and well known thermodynamic quantities. [ABSTRACT FROM AUTHOR]

In this paper, we compute the Hawking temperature by applying quantum tunneling approach for the Horndeski like black holes. We utilize the semi-classical phenomenon and WKB approximation to the Lagrangian field equation involving generalized uncertainty principle (GUP) and compute the tunneling rate as well as Hawking temperature. For the zero gravity parameter, we obtain results consistent without correction parameter or original tunneling. Moreover, we study the thermal fluctuations of the considered geometry and examine the stable state of the system by heat capacity technique. We also investigate the behavior of thermodynamic quantities under the influence of thermal fluctuations. We observe from the graphical analysis, the corresponding system is thermodynamically stable with these correction terms. • We compute the Hawking temperature by applying the quantum tunneling approach for the Horndeski-like black holes. • We utilize the semi-classical phenomenon and WKB approximation to the Lagrangian field equation. • For the zero gravity parameter, we see results consistent without the correction parameter. • We studied thermodynamics and thermal fluctuations of the considered geometry. • It is noted that the considered system is thermodynamically stable under these correction terms. [ABSTRACT FROM AUTHOR]

In this paper, by applying the Lagrangian analysis on the action, we first redefine the geodesic equation of the charged massive particle. Then, basing on the new definition of the geodesic equation, we revisit the Hawking radiation of the charged massive particle via tunneling from the event horizon of the Kaluza-Klein black hole. In our treatment, the geodesic equation of the charged massive particle is defined uniformly with that of the massless particle, which overcomes the shortcomings of its previous definition, and is more suitable for the tunneling mechanism. The highlight of our work is a new and important development for the Parikh-Wilczek's tunneling method. [ABSTRACT FROM AUTHOR]

We use the Parikh-Wilczek method to study the tunneling radiation from the event horizon of a charged AdS black hole in $f(R)$ gravity. The emission rate of a particle is calculated. The emission spectrum deviates from the pure thermal spectrum but consists with an underlying unitary theory. The emission rate of massive particles takes the same functional form as that of massless particles. Contradictory but interesting phenomenon is discovered. The expression of the emission rate for a black hole in $f(R)$ gravity differs from that for a black hole in Einstein gravity, if the area-law of the black hole entropy is insisted on. Conversely, based on abandoning the area-law and admitting the conventional tunneling rate, we obtain the expressions of the entropy and the first law of thermodynamics for the $f(R)$ gravity black hole, which is in accordance with the early results. So the research of tunneling radiation in this paper may serve as a new perspective of understanding the thermodynamics of black holes in $f(R)$ gravity. [ABSTRACT FROM AUTHOR]

In this paper, we derive the deformed Hamilton-Jacobi equations from the generalized Klein-Gordon equation and generalized Dirac equation. Then, we study the tunneling rate, Hawking temperature and entropy of the higher-dimensional Reissner-Nordström de Sitter black hole via the deformed Hamilton-Jacobi equation. Our results show that the deformed Hamilton-Jacobi equations for charged scalar particles and charged fermions have the same expressions. Besides, the modified Hawking temperatures and entropy are related to the mass and charge of the black hole, the cosmology constant, the quantum number of emitted particles, and the term of GUP effects β. [ABSTRACT FROM AUTHOR]

We investigate Hawking radiation of charged and magnetized (scalar /fermion) particles from Demiański-Newman (DN) black holes using Hamilton-Jacobi (HJ) ansatz. Taking into account conservation of energy and the backreaction of particles to the spacetime, we calculate the emission rate and find it proportional to the change of Bekenstein-Hawking entropy. The radiation spectrum deviates from the precisely thermal one and is accordant with that obtained by the null geodesic method, but its physical picture is more clear. The investigation specifies a quantum-corrected radiation temperature dependent on the black hole background and the radiation particle's energy, angular momentum, and charges. [ABSTRACT FROM AUTHOR]

In this review, we discuss the effects of quantum gravity on black hole physics. After a brief review of the origin of the minimal observable length from various quantum gravity theories, we present the tunneling method. To incorporate quantum gravity effects, we modify the Klein-Gordon equation and Dirac equation by the modified fundamental commutation relations. Then we use the modified equations to discuss the tunneling radiation of scalar particles and fermions. The corrected Hawking temperatures are related to the quantum numbers of the emitted particles. Quantum gravity corrections slow down the increase of the temperatures. The remnants are observed as . The mass is quantized by the modified Wheeler-DeWitt equation and is proportional to n in quantum gravity regime. The thermodynamical property of the black hole is studied by the influence of quantum gravity effects. [ABSTRACT FROM AUTHOR]

By extending the semi-classical quantum tunneling method, the tunneling radiation of the massive charged particle from a charged Reissner-Nordström-NUT black hole was investigated. Difference from the uncharged mass-less particle, the geodesics of the charged massive particle tunneling from the black hole is not light-like, but determined by the phase velocity. The result shows that the tunneling rate depends on the emitted particle's energy, NUT parameter and electric charge, and takes the same functional form as uncharged particle. It also proves that the exact emission spectrum is not strictly pure thermal, but is consistent with the underlying unitary theory. [ABSTRACT FROM AUTHOR]

The thermodynamics of Kehagias-Sfetsos black hole is studied. Applying the generalized second law of thermodynamics, a bound on the semiclassical tunneling radiation of black hole is obtained. [ABSTRACT FROM AUTHOR]

lthough the tunneling approach is well established for black hole radiation, much works have been done to support the extension of this approach to more general situations. In this article the Parikh-Kraus-Wilczek tunneling proposal of black hole radiation is considered. The black hole thermodynamics and tunneling radiation are studied, based on both, the generalized uncertainty principle and the modified dispersion relation analysis. It is shown that entropy, temperature and the original Parikh-Kraus-Wilczek tunneling radiation calculation receives new corrections. it has been shown that the results of this two alternative approaches are identical if one uses the suitable expansion coefficients. [ABSTRACT FROM AUTHOR]

The tunneling radiation of particles from Born-Infeld anti-de Sitter black holes is studied by using the Parikh-Wilczek method and the emission rate of a particle is calculated. It is shown that the emission rate is related to the change of the Bekenstein-Hawking entropy of the black hole and the emission spectrum deviates from the purely thermal spectrum but is consistent with an underlying unitary theory. [ABSTRACT FROM AUTHOR]