https://doi.org/10.1140/epjc/s10052-017-5220-z
Regular Article - Theoretical Physics
An application of Lorentz-invariance violation in black hole thermodynamics
1
School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu, 610054, China
2
College of Physics and Space Science, China West Normal University, Nanchong, 637009, China
* e-mail: qqjiangphys@yeah.net
Received:
17
August
2017
Accepted:
11
September
2017
Published online:
6
October
2017
In this paper, we have applied the Lorentz-invariance violation (LIV) class of dispersion relations (DRs) with the dimensionless parameter and the “sign of LIV”
, to a phenomenological study of the effect of quantum gravity in a strong gravitational field. Specifically, we have studied the effect of the LIV-DR induced quantum gravity on the Schwarzschild black hole thermodynamics. The result shows that the effect of the LIV-DR induced quantum gravity speeds up the black hole evaporation, and its corresponding black hole entropy undergoes a leading logarithmic correction to the “reduced Bekenstein–Hawking entropy”, and the ill-defined situations (i.e. the singularity problem and the critical problem) are naturally bypassed when the LIV-DR effect is present. Also, to put our results in a proper perspective, we have compared results with the earlier findings by another quantum-gravity candidate, i.e. the generalized uncertainty principle (GUP). Finally, we conclude from the inert remnants at the final stage of the black hole evaporation that, the GUP as a candidate for describing quantum gravity can always do as well as the LIV-DR by adjusting the model-dependent parameters, but in the same model-dependent parameters the LIV-DR acts as a more suitable candidate.
© The Author(s), 2017