Research PaperNo Access

The effect of modified dispersion relation on dumb holes

Department of Physics, Kandi Raj College, Kandi, Murshidabad 742137, India

Department of Physics, West Bengal State University, Barasat, Kolkata 700126, India

E-mail Address: dutta.abhijit87@gmail.com

Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, JD Block, Sector III, Saltlake, Kolkata 700106, West Bengal, India

Inter University Centre for Astronomy and Astrophysics, Pune, India

E-mail Address: sunandan.gangopadhyay@bose.res.in

E-mail Address: sunandan.gangopadhyay@gmail.com

E-mail Address: sunandan@associates.iucaa.in

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Sebastian Bahamonde

Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK

E-mail Address: sebastian.beltran.14@ucl.ac.uk

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, and

Mir Faizal

Department of Physics and Astronomy, University of Lethbridge, Lethbridge, Alberta, T1K 3M4, Canada

Irving K. Barber School of Arts and Sciences, University of British Columbia, Okanagan, 3333 University Way, Kelowna, British Columbia V1V 1V7, Canada

E-mail Address: mirfaizalmir@gmail.com

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https://doi.org/10.1142/S0218271818501134Cited by:1 (Source: Crossref)

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.

Keywords:

PACS: 04.60.Bc, 04.70.Dy

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