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Classical corrections to black hole entropy in $d$ dimensions: A rear window to quantum gravity?

Martin Blaschke^* and Zdeněk Stuchlík^†

Filip Blaschke^‡

Petr Blaschke^§

Institute of Physics and Research Centre of Theoretical Physics and Astrophysics, Faculty of Philosophy and Science, Silesian University in Opava, Bezručovo náměstí 13, CZ-746 01 Opava, Czech Republic

Institute of Physics and Research Centre of Theoretical Physics and Astrophysics, Faculty of Philosophy and Science, Silesian University in Opava, Bezručovo náměstí 13, CZ-746 01 Opava, Czech Republic and Institute of Experimental and Applied Physics, Czech Technical University in Prague, Horská 3a/22, 128 00 Praha 2, Czech Republic

Mathematical Institute in Opava, Silesian University in Opava, Na Rybníčku 626/1, CZ-746 01 Opava, Czech Republic

^*martin.blaschke@fpf.slu.cz
^†zdenek.stuchlik@fpf.slu.cz
^‡filip.blaschke@fpf.slu.cz
^§petr.blaschke@math.slu.cz

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Phys. Rev. D 96, 104012 – Published 13 November, 2017

DOI: https://doi.org/10.1103/PhysRevD.96.104012

Abstract

We provide a simple derivation of the corrections for Schwarzschild and Schwarzschild-Tangherlini black hole entropy without knowing the details of quantum gravity. We will follow the ideas of Bekenstein, Wheeler, and Jaynes, using summation techniques without calculus approximations, to directly find logarithmic corrections to the well-known entropy formula for black holes. Our approach is free from pathological behavior giving negative entropy for small values of black hole mass $M$ . With the aid of the “universality” principle, we will argue that this purely classical approach could open a window for exploring properties of quantum gravity.

Physics Subject Headings (PhySH)

Quantum gravity

Article Text

References (26)

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Classical corrections to black hole entropy in $d$ dimensions: A rear window to quantum gravity?

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