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The Effect of Modified Dispersion Relation on Dumb Holes

Dutta, A; Gangopadhyay, S; Bahamonde, S; Faizal, M; (2018) The Effect of Modified Dispersion Relation on Dumb Holes. International Journal of Modern Physics D , 27 (12) , Article 1850113. 10.1142/S0218271818501134. Green open access

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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 nontrivial effects on the physics of dumb holes. So, motivated by the physics of dumb holes, we will first analyze 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 dumb holes, 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.

Type: Article
Title: The Effect of Modified Dispersion Relation on Dumb Holes
Open access status: An open access version is available from UCL Discovery
DOI: 10.1142/S0218271818501134
Publisher version: https://doi.org/10.1142/S0218271818501134
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Modified dispersion relation, thermodynamics
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: https://discovery.ucl.ac.uk/id/eprint/10059331
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