Thermal stability of a special class of black hole solutions in F(R) gravity

Abstract

In this paper, we work on the topological Lifshitz-like black hole solutions of a special class of vacuum $F(R)-$gravity that are static and spherically symmetric. We investigate geometric and thermodynamic properties of the solutions with due respect to the validity of the first law of thermodynamics. We examine the van der Waals like behavior for asymptotically AdS solutions with spherical horizon by studying the $P-v$, $G-T$ and $C_{Q,P}-r_{+}$ diagrams and find a consistent result. We also investigate the same behavior for hyperbolic horizon and interestingly find that the system under study can experience a phase transition with negative temperature.

arXiv comment14 pages with 7 captioned figures. Some additional notes are added. Accepted in EPJC

References in corpus (50)

• Large N Field Theories, String Theory and Gravity
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The World as a Hologram
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Quantum Gravity at a Lifshitz Point
• P-V criticality of charged AdS black holes
• Disappearing cosmological constant in f(R) gravity
• General relativity as an effective field theory: The leading quantum corrections
• Black Hole Entropy from Near-Horizon Microstates
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Conditions for the cosmological viability of f(R) dark energy models
• Black Hole Entropy from Loop Quantum Gravity
• The cosmological constant and the black hole equation of state
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Holographic Heat Engines
• Imprints of a Primordial Preferred Direction on the Microwave Background
• Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
• Thermodynamic Behavior of Field Equations for f(R) Gravity
• Moduli, Scalar Charges, and the First Law of Black Hole Thermodynamics
• Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
• van der Waals like behaviour of topological AdS black holes in massive gravity
• Neutron Stars in f(R) Gravity with Perturbative Constraints
• P-V Criticality in Quasitopological Gravity
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Reentrant phase transitions and van der Waals behaviour for hairy black holes
• Modified F(R) Horava-Lifshitz gravity: a way to accelerating FRW cosmology
• The relation between F(R) gravity and Einstein-conformally invariant Maxwell source
• Horizon thermodynamics in $f(R)$ theory
• Modified first-order Horava-Lifshitz gravity: Hamiltonian analysis of the general theory and accelerating FRW cosmology in power-law F(R) model
• Thermodynamic geometry of black holes in f(R) gravity
• Cosmological dynamics in f(R) gravity
• Combined effects of f(R) gravity and conformally invariant Maxwell field on the extended phase space thermodynamics of higher-dimensional black holes
• Spherical collapse in f(R) gravity and the Belinskii-Khalatnikov-Lifshitz conjecture
• A special class of solutions in $F(R)$-gravity
• Horava-Lifshitz f(R) Gravity
• The thermodynamic quantities of a black hole with an $f(R)$ global monopole
• Eguchi-Hanson like space-times in F(R) gravity
• String duality transformations in $f(R)$ gravity from Noether symmetry approach
• Note About Hamiltonian Formalism of Modified $F(R)$ Hořava-Lifshitz Gravities and Their Healthy Extension
• New aspect of critical nonlinearly charged black hole
• U(1) Invariant F(R) Horava-Lifshitz Gravity
• Ekpyrotic universes in $F(R)$ Hořava-Lifshitz gravity
• A study of generalized second law of thermodynamics in modified f(R) Horava-Lifshitz gravity
• Thermodynamics of $f(R)$ Gravity with Disformal Transformation
• Thermodynamic approach to field equations in Lovelock gravity and f(R) gravity revisited
• Note About Equivalence of F(R) and Scalar Tensor Horava-Lifshitz Gravities
• Consistency between dynamical and thermodynamical stabilities for perfect fluid in $f(R)$ theories

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