Horizon thermodynamics in fourth-order gravity
arXiv:1702.08184 · doi:10.1016/j.physletb.2016.11.058
Abstract
In the framework of horizon thermodynamics, the field equations of Einstein gravity and some other second-order gravities can be rewritten as the thermodynamic identity: . However, in order to construct the horizon thermodynamics in higher-order gravity, we have to simplify the field equations firstly. In this paper, we study the fourth-order gravity and convert it to second-order gravity via a so-called " Legendre transformation " at the cost of introducing two other fields besides the metric field. With this simplified theory, we implement the conventional procedure in the construction of the horizon thermodynamics in 3 and 4 dimensional spacetime. We find that the field equations in the fourth-order gravity can also be written as the thermodynamic identity. Moreover, we can use this approach to derive the same black hole mass as that by other methods.
12 pages, no figure
References in corpus (34)
- Thermodynamics of Spacetime: The Einstein Equation of State
- Black Hole Entropy is Noether Charge
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- P-V criticality of charged AdS black holes
- Charged AdS Black Holes and Catastrophic Holography
- Massive Gravity in Three Dimensions
- Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
- Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
- On Black Hole Entropy
- Pressure and volume in the first law of black hole thermodynamics
- Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
- Energy in Generic Higher Curvature Gravity Theories
- On Physical Equivalence between Nonlinear Gravity Theories
- Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
- Gravitational Energy in Quadratic Curvature Gravities
- Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
- Critical Gravity in Four Dimensions
- Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
- On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes
- Einstein's equations as a thermodynamic identity: The cases of stationary axisymmetric horizons and evolving spherically symmetric horizons
- Thermodynamics of Reissner-Nordstrom-anti-de Sitter black holes in the grand canonical ensemble
- Horizon Thermodynamics and Gravitational Field Equations in Horava-Lifshitz Gravity
- Physical non-equivalence of the Jordan and Einstein frames
- P-V criticality of charged dilatonic black holes
- A unified picture of phase transition: from liquid-vapour systems to AdS black holes
- F(R) gravity equation of state
- Search for B_s to mu^+ mu^- and B^0 to mu^+ mu^- decays
- Stability of black holes based on horizon thermodynamics
- Search for physics beyond the standard model in events with tau leptons, jets, and large transverse momentum imbalance in pp collisions at sqrt(s) = 7 TeV
- Charged Rotating BTZ Black Hole and Thermodynamic Behavior of Field Equations at its Horizon
- Equivalence of black hole thermodynamics between a generalized theory of gravity and the Einstein theory
- Continuous phase transition and critical behaviors of 3D black hole with torsion
- Thermodynamic and classical instability of AdS black holes in fourth-order gravity
- Complementary role of the pressure in the black hole thermodynamics