The Effect of Modified Dispersion Relation on Dumb Holes
Abstract
In this paper, we will deform the usual energy-momentum dispersion relation of a photon gas at an intermediate scale between the Planck and electroweak scales. We will demonstrate that such a deformation can have non-trivial effects on the physics of dumb holes. So, motivated by the physics of dumb holes, we will first analyse the effect of such a deformation on thermodynamics. Then we observe that the velocity of sound also gets modified due to such a modification of the thermodynamics. This changes the position of the horizon of a dumb hole, and the analogous Hawking radiation from a dumb hole. Therefore, dumb holes can be used to measure the deformation of the usual energy-momentum dispersion relation.
Keywords
Cite
@article{arxiv.1805.01294,
title = {The Effect of Modified Dispersion Relation on Dumb Holes},
author = {Abhijit Dutta and Sunandan Gangopadhyay and Sebastian Bahamonde and Mir Faizal},
journal= {arXiv preprint arXiv:1805.01294},
year = {2018}
}
Comments
Some small changes. Matches published version in IJMPD