Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles

By Giovanni Amelino-Camelia, Michele Arzano, Yi Ling, Gianluca Mandanici. 2005

227 citations recorded by the source corpus.

In several approaches to the quantum-gravity problem evidence has emerged of the validity of a ‘GUP’ (a generalized position–momentum uncertainty principle) and/or a ‘MDR’ (a modification of the energy–momentum dispersion relation), but very little is known about the implications of GUPs and MDRs for black-hole thermodynamics, another key topic for quantum-gravity research. We investigate an apparent link, already suggested in an earlier exploratory study involving two of us, between the possibility of a GUP and/or an MDR and the possibility of a log term in the area–entropy black-hole formula. We then obtain, from that same perspective, a modified relation between the mass of a black hole and its temperature, and we examine the validity of the ‘generalized second law of black-hole thermodynamics’ in theories with a GUP and/or an MDR. After an analysis of GUP- and MDR-modifications of the black-body radiation spectrum, we conclude the study with a description of the black-hole evaporation process.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/08fc939eaad7493ff5abc59a91153cfeab48b5b9

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In Astronomy and Astrophysics

1. D. Holz
2. Maya Fishbach
3. Michela Mapelli
4. Ilya Mandel
5. Luca Baiotti
6. R. O’Shaughnessy
7. E. Thrane
8. T. Bulik

In Nuclear and High Energy Physics

1. T. Hinderer
2. Sabine Hossenfelder
3. Mark A. Scheel
4. P. Jaranowski
5. A. Taracchini
6. E. A. Huerta
7. Daniel George
8. B. Sathyaprakash

In Statistical and Nonlinear Physics

1. Sabine Hossenfelder
2. T. Bulik
3. Vicky Kalogera
4. R. O’Shaughnessy
5. Josh Willis
6. Stephen Fairhurst
7. C. Broeck
8. Walter Del Pozzo

Citations in the corpus

• Tests of general relativity with the binary black hole signals from the LIGO-Virgo catalog GWTC-1 (2019, background): “, [119] and references therein for both arguments).”
• Black hole information, unitarity, and nonlocality (2006, unknown): “This stands in contrast to work suggesting modified dispersion relations, maximum velocities, or preferred frames[37-40], as well as approaches based on an explicit cutoff[26].”
• Minimal Length Scale Scenarios for Quantum Gravity (2012, background): “Corrections to the thermodynamical properties of a Schwarzschild black hole have been looked at in [22, 321, 100, 214, 217], the Reissner–Nordström black hole has been considered in [319], and black holes in anti-de Sitter space in [280, 281, 61].”