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Thermodynamic Stability of a New Three Dimensional Regular Black Hole

S.H. Hendi
(
- Shiraz U. and
- Biruni Observ. and
- CQRC, Vernon
)
,
S. Hajkhalili
(
- Shiraz U. and
- Biruni Observ.
)
,
S. Mahmoudi
(
- Shiraz U. and
- Biruni Observ.
)

Apr 25, 2022

21 pages

Published in:

Fortsch.Phys. 71 (2023) 8-9, 2200101

Published: Sep 1, 2023

e-Print:

2204.11558 [gr-qc]

DOI:

10.1002/prop.202200101

Report number:

Fortschritte der Physik,
Volume71,
Issue8-9

View in:

ADS Abstract Service

reference search9 citations

Citations per year

Abstract: (WILEY)

A new model of the regular black hole in (2+1)−

(2+1)-

dimensions is introduced by considering an appropriate matter field as the energy-momentum tensor. First, we propose a novel model of d-dimensional energy density that in (2+1)−

(2+1)-

dimensions leads to the existence of an upper bound on the radius of the event horizon and a lower bound on the mass of the black hole which are motivated by the features of astrophysical black holes. According to these bounds, we introduce an admissible domain for the event horizon radius, depending on the metric parameters. After investigation of geometric properties of the obtained solutions, we study the thermal stability of the solution in the canonical ensemble and find that the regular black hole is thermally stable in the mentioned admissible domain. Besides, the free energy is calculated to examine the global stability of the solution.

Note:

21 pages, 14 figures, 2 tables, Comments are welcome

black hole
exact solutions
three-dimensional spacetime
thermal stability
solution: stability
tensor: energy-momentum
stability: thermal
stability: thermodynamical
dimension: 3
black hole: mass

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