E. J. Son

Thermodynamics of a black hole based on a generalized uncertainty principle

We study thermodynamic quantities and the stability of a black hole in a cavity using the Euclidean action formalism by Gibbons and Hawking based on the generalized uncertainty relation which is extended in a symmetric way with respect to the space and momentum without loss of generality. Two parameters in the uncertainty relation affect the thermodynamical quantities such as energy, entropy, and the heat capacity. In particular, it can be shown that the small black hole is unstable and it may decay either into a minimal black hole or a large black hole. We discuss a constraint for a large black hole comparable to the size of the cavity in connection with the critical mass.

f (R) black holes

We study the f (R)-Maxwell black hole imposed by constant curvature and its all thermodynamic quantities, which may lead to the Reissner-Nordström-AdS black hole by redefining Newtonian constant and charge. Further, we obtain the f (R)-Yang-Mills black hole imposed by constant curvature, which is related to the Einstein-Yang-Mills black hole in AdS space. Since there is no analytic black hole solution in the presence of Yang-Mills field, we obtain asymptotic solutions. Then, we confirm the presence of these solutions in a numerical way.

Stability of f(R) black holes

We investigate the stability of an

Wormhole phase in the RST model

f(R)

Thermodynamic similarity between the noncommutative Schwarzschild black hole and the Reissner-Nordström black hole

(Schwarzschild) black hole obtained from the

Stability analysis of f(R)-AdS black holes

f(R)

Central charges in 2d reduced cosmological massive gravity

gravity. It is difficult to carry out the perturbation analysis around the black hole because the linearized Einstein equation is fourth order in

Lorentz-invariant Bell's inequality

f(R)

Thermodynamics of warped AdS3 black hole in the brick wall method

gravity. In order to resolve this difficulty, we transform

Effective potentials in the Lifshitz scalar field theory

f(R)