2016
DOI: 10.1140/epjc/s10052-016-4057-1
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Quantum corrections to the thermodynamics of Schwarzschild–Tangherlini black hole and the generalized uncertainty principle

Abstract: 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 radiatin… Show more

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Cited by 111 publications
(63 citation statements)
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“…The incorporation of the GUP to study black hole thermodynamics has been another interesting area of active research [27][28][29][30][31][32][33][34][35][36][37][38]. It has been observed that the GUP reveals a self-complete characteristic of gravity which basically amounts to hiding any curvature singularity behind an event horizon as a consequence of matter compression at the Planck scale [39][40][41].…”
Section: Introductionmentioning
confidence: 99%
“…The incorporation of the GUP to study black hole thermodynamics has been another interesting area of active research [27][28][29][30][31][32][33][34][35][36][37][38]. It has been observed that the GUP reveals a self-complete characteristic of gravity which basically amounts to hiding any curvature singularity behind an event horizon as a consequence of matter compression at the Planck scale [39][40][41].…”
Section: Introductionmentioning
confidence: 99%
“…By taking into account the effect of GUP, in a curved spacetime, the revised Hamilton-Jacobi equation for the motion of scalar particles can be expressed as [26] g 00…”
Section: Tunneling Radiation Of a Scalar Particle Based On Gupmentioning
confidence: 99%
“…In Refs. [11,12] According to their works, the Hamilton-Jacobi ansatz can be used to describe the tunneling behavior of particles with spin on the horizons of black holes. Hence, the Hamilton-Jacobi ansatz is an effective approach for studying Hawking radiation.…”
Section: Introductionmentioning
confidence: 99%