Thermal analysis of black hole in de Rham--Gabadadze--Tolley massive gravity in Barrow entropy framework

Abstract

This study examines a recently hypothesized black hole solution in de Rham--Gabadadze--Tolley massive gravity. Firstly, we consider the negative cosmological constant as a thermodynamic pressure. We extract the thermodynamical properties such as Hawking temperature, heat capacity and Gibbs free energy using the Barrow entropy. We also obtain a new pressure associated to the perfect fluid dark matter and discuss the first-order van der Waals-like phase transition. This black hole's stability is investigated through specific heat and Gibbs free energy. Also, we analyze the thermodynamic curvatures behavior of black hole through geometry methods (Weinhold, Ruppeiner, Hendi-Panahiyah-Eslam-Momennia (HPEM), and geometrothermodynamics (GTD)).

arXiv comment19 pages, 18 captioned figures, published in Physica Scripta

References in corpus (28)

• Black Hole Entropy is Noether Charge
• P-V criticality of charged AdS black holes
• Enthalpy and the Mechanics of AdS Black Holes
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• The cosmological constant and the black hole equation of state
• Analytic solutions in non-linear massive gravity
• Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
• Strong interactions and exact solutions in non-linear massive gravity
• Geometry of black hole thermodynamics
• Geometry of Higher-Dimensional Black Hole Thermodynamics
• On the Thermodynamic Geometry of BTZ Black Holes
• A class of black holes in dRGT massive gravity and their thermodynamical properties
• Bardeen black hole chemistry
• Effects of energy dependent spacetime on geometrical thermodynamics and heat engine of black holes: gravity's rainbow
• Joule-Thomson Expansion of RN-AdS Black Holes in $f(R)$ gravity
• Characterising Vainshtein Solutions in Massive Gravity
• Thermodynamic geometry of a black hole surrounded by perfect fluid in Rastall theory
• Barrow black hole corrected-entropy model and Tsallis nonextensivity
• Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes
• Hairy Black Holes in Massive Gravity: Thermodynamics and Phase Structure
• Are ultra-spinning Kerr-Sen-AdS${}_4$ black holes always super-entropic ?
• Phase transition of a charged AdS black hole with a global monopole through geometrical thermodynamics
• Perturbed thermodynamics and thermodynamic geometry of a static black hole in $f(R)$ gravity
• Coexistent Physics and Microstructure of the Regular Bardeen Black Hole in Anti-de Sitter Spacetime
• Thermodynamics and phase transition of BTZ black hole in a cavity
• Massive gravity solution of Black Holes and Entropy Bounds
• Entropic considerations on the Universe and Universe-Black Hole Systems
• D-bound and Bekenstein Bound for the Surrounded Vaidya Black Hole

Cited by in corpus (2)

• Ayón--Beato--García black hole coupled with a cloud of strings: thermodynamics, shadows and quasinormal modes
• Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics