Thermodynamic studies of a rotating polytropic black hole: Outer and interior regions
- 27 March 2023
- journal article
- research article
- Published by IOP Publishing in Europhysics Letters
- Vol. 142 (1), 19002
- https://doi.org/10.1209/0295-5075/acc47e
Abstract
- In this letter, considering the metric of a rotating polytropic black hole in the Boyer -Lindquist coordinates, at first, we derive the thermodynamic parameters such as entropy S, Helmholtz free energy F, internal energy U and Gibbs free energy G and study its dependence on the outer horizon by depicting suitable graphs. Then after reconstruction of the metric of the same in the Eddington-Finkelstein coordinates, we establish the interior volume of the black hole. We further analyze the variations of the interior volume with the small change of the advanced time with respect to the radius. Here we show the existence of a certain value of the radius for which this variation becomes maximum. Moreover, we show the dependence of this maximum value of the radius on the mass of the black hole. We derive the differential form of the interior volume for this limit of the radius and hence the maximal interior volume of the said black hole. Finally, we analyze the same thermodynamic parameters inside the black hole and present a comparative study between the parameters in the outer and interior regions of the black hole.Keywords
This publication has 32 references indexed in Scilit:
- New cosmological constraints on primordial black holesPhysical Review D, 2010
- Volume of black holesPhysical Review D, 2006
- Hawking radiation and black hole thermodynamicsNew Journal of Physics, 2005
- Gauss-Bonnet black holes in AdS spacesPhysical Review D, 2002
- Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black holeClassical and Quantum Gravity, 2001
- One-loop corrected thermodynamics of the extremal and nonextremal spinning Banados-Teitelboim-Zanelli black holePhysical Review D, 2001
- Quantum corrections to the thermodynamics of charged 2D black holesPhysical Review D, 1999
- The Stefan-Boltzmann law at high temperature for the gluon gasPhysics Letters B, 1982
- Black hole explosions?Nature, 1974
- The four laws of black hole mechanicsCommunications in Mathematical Physics, 1973