Regular black holes in isothermal cavity

  • We examine the thermodynamic behavior of a static neutral regular (non-singular) black hole enclosed in a finite isothermal cavity. The cavity enclosure helps us investigate black hole systems in a canonical or a grand canonical ensemble. Here we demonstrate the derivation of the reduced action for the general metric of a regular black hole in a cavity by considering a canonical ensemble. The new expression of the action contains quantum corrections at short distances and concludes to the action of a singular black hole in a cavity at large distances. We apply this formalism to the noncommutative Schwarzschild black hole, in order to study the phase structure of the system. We conclude to a possible small/large stable regular black hole transition inside the cavity that exists neither at the system of a classical Schwarzschild black hole in a cavity, nor at the asymptotically flat regular black hole without the cavity. This phase transition seems to be similar with the liquid/gas transition of a Van der Waals gas.

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Author:Athanasios Tzikas
Parent Title (English):Physics letters B
Publisher:North-Holland Publ.
Place of publication:Amsterdam
Document Type:Article
Date of Publication (online):2021/08/10
Date of first Publication:2021/08/10
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2022/05/30
Issue:art. 136426
Page Number:6
First Page:1
Last Page:6
The present work has been supported by the GRADE Completion Scholarships, which are funded by the STIBET program of the German Academic Exchange Service (DAAD) and the Stiftung zur Förderung der internationalen wissenschaftlichen Beziehungen der Johann Wolfgang Goethe-Universität.
This is an open access article under the CC BY license ( Funded by SCOAP.
Wissenschaftliche Zentren und koordinierte Programme / Frankfurt Institute for Advanced Studies (FIAS)
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoCreative Commons - Namensnennung 4.0