Shu-Zheng Yang

Quantum corrections to the thermodynamics of Schwarzschild–Tangherlini black hole and the generalized uncertainty principle

We investigate the thermodynamics of Schwarzschild–Tangherlini black hole in the context of the generalized uncertainty principle (GUP). The corrections to the Hawking temperature, entropy and the heat capacity are obtained via the modified Hamilton–Jacobi equation. These modifications show that the GUP changes the evolution of the Schwarzschild–Tangherlini black hole. Specially, the GUP effect becomes susceptible when the radius or mass of the black hole approaches the order of Planck scale, it stops radiating and leads to a black hole remnant. Meanwhile, the Planck scale remnant can be confirmed through the analysis of the heat capacity. Those phenomena imply that the GUP may give a way to solve the information paradox. Besides, we also investigate the possibilities to observe the black hole at the Large Hadron Collider (LHC), and the results demonstrate that the black hole cannot be produced in the recent LHC.

Constraining the generalized uncertainty principle with the gravitational wave event GW150914

Abstract In this letter, we show that the dimensionless parameters in the generalized uncertainty principle (GUP) can be constrained by the gravitational wave event GW150914, which was discovered by the LIGO Scientific and Virgo Collaborations. Firstly, according to the Heisenberg uncertainty principle (HUP) and the data of gravitational wave event GW150914, we derive the standard energy–momentum dispersion relation and calculate the difference between the propagation speed of gravitons and the speed of light, i.e., Δυ. Next, using two proposals regarding the GUP, we also generalize our study to the quantum gravity case and obtain the modified speed of gravitons. Finally, based on the modified speed of gravitons and Δυ, the improved upper bounds on the GUP parameters are obtained. The results show that the upper limits of the GUP parameters β 0 and α 0 are 2.3 × 10 60 and 1.8 × 10 20 .

The Effects of Minimal Length, Maximal Momentum, and Minimal Momentum in Entropic Force

In this paper, the modified entropic force law is studied by using a new kind of generalized uncertainty principle which contains a minimal length, a minimal momentum and a maximal momentum. Firstly, the quantum corrections to the thermodynamics of a black hole is investigated. Then, according to Verlindes theory, the generalized uncertainty principle (GUP) corrected entropic force is obtained. The result shows that the GUP corrected entropic force is related not only to the properties of the black holes, but also to the Planck length and the dimensionless constants

NEW FORM OF THE KERR–NEWMAN–KASUYA SOLUTION AND ITS HAWKING RADIATION VIA TUNNELING

\alpha _{\rm{0}}

Thermodynamics of five-dimensional static three-charge STU black holes with squashed horizons

and

Hawking radiation from gravity's rainbow via gravitational anomaly

\beta _{\rm{0}}

HAWKING TUNNELING RADIATION OF BLACK HOLES IN de SITTER AND ANTI-de SITTER SPACETIMES

. Moreover, based on the GUP corrected entropic force, we also derive the modified Einsteins field equation (EFE) and the modified Friedmann equation.

DISCUSSION ON THE CHARACTERISTICS OF THE QUANTUM TUNNELING RADIATION OF GLOBAL MONOPOLE CHARGED BLACK HOLE

Parikh–Wilczeks recent work, which treats the Hawking radiation as semiclassical tunneling process from the event horizon of the static Schwarzschild and Reissner–Nordstrom black holes, indicates that the factually radiant spectrum deviates from the precisely thermal spectrum after taking the self-gravitation interaction into account. In this paper, we extend Parikh–Wilczeks work to study the Hawking radiation via tunneling from new form of rotating Kerr–Newman–Kasuya solution and obtain a corrected radiation spectrum, which is related to the change of Bekenstein–Hawking entropy, and is not pure thermal, but is consistent with the underlying unitary theory and then satisfies the first law of the black hole thermodynamics. Meanwhile, in this framework, we point out that the information conservation is only suitable for the reversible process.

New forms and thermodynamics of the neutral rotating squashed black hole in five-dimensional vacuum Einstein gravity theory

Abstract We present a new expression for the five-dimensional static Kaluza–Klein black hole solution with squashed S 3 horizons and three different charge parameters. This black hole solution belongs to D = 5 , N = 2 supergravity theory, its spacetime is locally asymptotically flat and has a spatial infinity R × S 1 ↪ S 2 . The form of the solution is extraordinary simple and permits us very conveniently to calculate its conserved charges by using the counterterm method. It is further shown that our thermodynamical quantities perfectly obey both the differential and the integral first laws of black hole thermodynamics if the length of the compact extra-dimension can be viewed as a thermodynamical variable.

Lorentz Invariance Violation and Modified Hawking Fermions Tunneling Radiation

Based on the anomaly cancellation method, initiated by Robinson and Wilczek, we investigates Hawking radiation from the modified Schwarzschild black hole from gravitys rainbow from the anomaly point of view. Unlike the general Schwarzschild space—time, the metric of this black hole depends on the energies of probes. The obtained result shows to restore the underlying general covariance at the quantum level in the effective field, the covariant compensating flux of energy—momentum tensor, which is related to the energies of the probes, should precisely equal to that of a (1 + 1)-dimensional blackbody at the Hawking temperature.Based on the anomaly cancellation method, initiated by Robinson and Wilczek, we investigates Hawking radiation from the modified Schwarzschild black hole from gravity’s rainbow from the anomaly point of view. Unlike the general Schwarzschild space–time, the metric of this black hole depends on the energies of probes. The obtained result shows to restore the underlying general covariance at the quantum level in the effective field, the covariant compensating flux of energy–momentum tensor, which is related to the energies of the probes, should precisely equal to that of a (1 + 1)-dimensional blackbody at the Hawking temperature.