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 (10)
- Massive Gravity in Three Dimensions
- Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
- Critical Gravity in Four Dimensions
- Einstein's equations as a thermodynamic identity: The cases of stationary axisymmetric horizons and evolving spherically symmetric horizons
- Physical non-equivalence of the Jordan and Einstein frames
- P-V criticality of charged dilatonic black holes
- F(R) gravity equation of state
- Search for B_s to mu^+ mu^- and B^0 to mu^+ mu^- decays
- Continuous phase transition and critical behaviors of 3D black hole with torsion
- Complementary role of the pressure in the black hole thermodynamics