Thermal stability and effects of thermal fluctuations on the static and spherically symmetric hairy black hole by gravitational decoupling - INSPIRE

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Thermal stability and effects of thermal fluctuations on the static and spherically symmetric hairy black hole by gravitational decoupling

Allah Ditta
(
- Shanghai U.
)
,
Faisal Javed
(
- Zhejiang Normal U.
)
,
S.K. Maurya
(
- Nizwa U.
)
,
G. Mustafa
(
- Zhejiang Normal U.
)
,
Farruh Atamurotov
(
- Uzbekistan Natl. U. and
- Silesian U., Czech Republic
)

Oct 10, 2023

Published in:

Phys.Dark Univ. 42 (2023) 101345

Published: Oct 10, 2023

DOI:

10.1016/j.dark.2023.101345 (publication)

reference search35 citations

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Abstract: (Elsevier B.V.)

In this paper, we explore the thermodynamic aspects of the hairy black hole solution developed by gravitational decoupling in the spherical symmetry, considering its energy emission, Gibbs free energy, and thermal fluctuations. Our analysis involves the calculation of various quantities, including the Hawking temperature, geometric mass, and heat capacity to discuss the thermodynamic stability at local and global scales. To determine the temperature of the black hole, we utilize the first law of thermodynamics. Additionally, we evaluate the energy emission rate and establish its proportionality to the decoupling parameter

α

. By calculating the Gibbs free energy, we investigate the phase transition behavior through the swallowing tails of the hairy black holes. Furthermore, we derive the corrected entropy to examine the impact of thermal fluctuations on small and large black holes. We also calculated horizon radius

r_{0}

, inner stable circular orbit

r_{I S C O}

, photon sphere radius

r_{p h}

, and shadows radius

R_{s h}

. Remarkably, the length scale parameters

α

(decoupling parameter) and

β

exhibit substantial influences on the thermodynamic properties of under consideration hairy black holes.

Gravitational decoupling
Black hole
Exact solution
black hole: hair
fluctuation: thermal
symmetry: rotation
gravitation: decoupling
energy: flux
photon: sphere
stability: thermal

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