Thermal Correction to the Kinnersley Black Hole in a Lorentz-Violating Dirac Field Theory

According to Lorentz-violating theory, the dynamical equation of Dirac particles in the Kinnersley black hole with variably accelerated linear motion is modified. The Hawking quantum tunneling radiation characteristics of Kinnersley black hole are obtained by solving the modified equation. The expression of the Hawking temperature of Kinnersley black hole has been updated.

Lorentz invariance violation and modified Hawking fermions tunneling radiation of stationary axially symmetric black holes

Based on a higher energy scale, the dispersion relation might be corrected. Correspondingly, the Hamilton–Jacobi equation should also be modified. In this paper, we use the correction to study the fermion tunneling radiation for a Gibbons–Maeda–Garfinkle-Horowitz–Strominger (GMGHS) black hole, a Kerr–NUT black hole, and an Einstein–Maxwell–Dilaton–Axion (EMDA) black hole. The result shows that compared to the charged GMGHS black hole and the rotating Kerr–NUT black hole, the Hawking temperate and the entropy of the rotating charged EMDA black hole not only are related to the correction parameter [Formula: see text] and particle mass [Formula: see text] but also depend on the angle parameter [Formula: see text] of the black hole coordinates.

Influence of dark matter on phase transitions of XCDM black hole in braneworld based on the framework of GUP

In this paper, under the framework of generalized uncertainty principle (GUP), based on the quantum tunneling radiation, we discuss the influence of dark matter on thermodynamics and phase transition from the X-cold dark matter (XCDM) black hole in Braneworld. It turns out that the existence of the dark matter can give rise to some new relations such as local temperature–mass, heat capacity–mass and local free energy–local temperature, and dark matter can play an important role in phase transitions. It is worth emphasizing that the first-order phase transition, second-order and Hawking–Page-like phase transitions can be observed from the new phase diagrams, and the novel and interesting thermodynamics behavior has been presented under the influence of GUP and dark matter.

Tunneling under the influence of quantum gravity in black rings

We explore the Lagrangian equation in the background of generalized uncertainty principle. The tunneling radiation through the black ring horizon is observed. We investigated the tunneling radiation through the Hamilton–Jacobi method for solutions of Einstein–Maxwell-dilation gravity theory. The radiation of black ring without back reaction and self-interaction of particles are studied. Furthermore, we consider the quantum gravity effect on the stability of black ring.

Modification to tunneling radiation of arbitrary spin fermions in stationary axisymmetric Sen black hole space–time

Considering the modified Lorentz dispersion relation, combined with the Dirac equation and Rarita–Schwinger equation of fermions in stationary axisymmetric Sen black hole space–time, the fermion tunneling radiation of the black hole is modified accurately, and meaningful physical quantities such as the modified fermion tunneling rate, event horizon temperature, and entropy of the black hole are obtained. The discussion of the conclusions shows that the effect of the Lorentz dispersion relation and Lorentz violation theory on particle dynamics must be considered in curved space–time during the study of quantum theory and Hawking tunneling radiation.

Research on the semiclassical theory and Hawking tunneling radiation of nonstationary Kerr black hole

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.

Tunneling radiation and quantum entropy of a massive gravity black hole

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

Scalar Particles Tunneling Radiation in the Demianski-Newman Spacetime with Influences of Quantum Gravity

In this paper, using Hamilton-Jacobi ansatz, we investigate scalar particle tunneling radiation in the Demianski-Newman spacetime. We get the effective temperature with influences of quantum gravity and compare this temperature with the original temperature of the Demianski-Newman black hole. We find that it is similar to the case of fermions; for scalar particles, the influence of quantum gravity will also slow down the increase of Hawking temperatures, which naturally leads to remnants left in the evaporation.