Black hole entropy in scalar-tensor and f(R) gravity: an overview

Abstract

A short overview of black hole entropy in alternative gravitational theories is presented. Motivated by the recent attempts to explain the cosmic acceleration without dark energy, we focus on metric and Palatini f(R) gravity and on scalar-tensor theories.

24 pages, latex, to appear in "Entropy in Quantum Gravity", special issue of Entropy, R. Garattini editor.

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• Modified Gravity and Cosmology
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Static Spherically Symmetric Solutions in F(R) Gravity
• Hunting for Dark Particles with Gravitational Waves
• Test fields cannot destroy extremal black holes
• GW250114: testing Hawking's area law and the Kerr nature of black holes
• Some aspects of generalized modified gravity models
• Cosmological apparent and trapping horizons
• Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in Symmergent gravity
• On the Energy Issue for a Class of Modified Higher Order Gravity Black Hole Solutions
• Spherically symmetric black holes with electric and magnetic charge in extended gravity: Physical properties, causal structure, and stability analysis in Einstein's and Jordan's frames
• Making sense of the bizarre behaviour of horizons in the McVittie spacetime
• Black Holes and Neutron Stars in Vector Galileons
• A note on entropy of de Sitter black holes
• Fresh look at the scalar-tensor theory of gravity in Jordan and Einstein frames from undiscussed standpoints
• Reissner-Nordström Black Holes in Mimetic $F(R)$ Gravity
• Generalized second law of thermodynamics in scalar-tensor gravity
• Topological interpretation of extremal and Davies-type phase transitions of black holes
• Are quantization rules for horizon areas universal?
• A Note on Schwarzschild de Sitter Black Holes in Mimetic $F(R)$ Gravity
• Effects of a string cloud on the criticality and efficiency of AdS black holes as heat engines
• Topological Static Spherically Symmetric vacuum Solutions in $\mathcal{F}(R,G)$ Gravity
• (Compactified) black branes in four dimensional f(R)-gravity
• Noether and Abbott-Deser-Tekin conserved quantities in scalar-tensor theory of gravity both in Jordan and Einstein frames
• Non-singular Brans-Dicke collapse in deformed phase space
• The horizon-entropy increase law for causal and quasi-local horizons and conformal field redefinitions
• Extended phase space thermodynamics of black holes: A study in Einstein's gravity and beyond
• Super-entropic black hole with Immirzi hair
• Central charge criticality of charged AdS black hole surrounded by different fluids
• Dynamical apparent horizons in inhomogeneous Brans-Dicke universes
• Thermodynamic structure of a generic null surface and the zeroth law in scalar-tensor theory
• Black Hole entropy for two higher derivative theories of gravity
• Fluid-gravity correspondence in the scalar-tensor theory of gravity: (in)equivalence of Einstein and Jordan frames
• Cloud of strings in f(R) gravity
• Generalized Entropy Implies Varying-G: Horizon Area Dependent Field Equations and Black Hole-Cosmology Coupling
• Analytical holographic superconductors in $Ad{S}_N$ Lifshitz topological black holes
• Topological electro-vacuum solutions in extended gravity
• Rotating Killing horizons in generic $F(R)$ gravity theories
• An attempt to add Barrow entropy in $f(R)$ gravity
• First law of thermodynamics and entropy of FLRW universe in modified gravity
• Black hole formation from a null fluid in extended Palatini gravity
• Scalar-tensor black holes in an expanding universe
• Spherically symmetric and static solutions in $f(R)$ gravity coupled with EM fields
• Barrow's non-linear charged Anti-de Sitter black hole and stability
• Scalar-tensor gravity from thermodynamic and fluid-gravity perspective
• Thermodynamics of Non-Commutative Scalar-Tensor-Vector Gravity Black holes
• Horizons and singularity in Clifton's spherical solution of f(R) vacuum
• D-bound and Bekenstein bound for McVittie solution surrounded by dark energy cosmological fields
• Scalar fluid in scalar-tensor gravity from an equivalent picture of thermodynamic and fluid descriptions of gravitational dynamics
• Scalar-tensor theories of gravity from a thermodynamic viewpoint
• Black Hole Entropy and Boundary Conditions
• On the Thermodynamical Black Hole Stability in the Space-time of a Global Monopole in $f(R)$-Gravity
• Boundary terms and Brown-York quasi-local parameters for scalar-tensor theory: a study on both timelike and null hypersurfaces
• New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity
• The Smarr formula within the Geroch-Held-Penrose formalism