Three dimensional black holes and cylindrical general relativity

Abstract

A black hole solution of Einstein's field equations with cylindrical symmetry is found. Using the Hamiltonian formulation one is able to define mass and angular momentum for the cylindrical black hole through the corresponding and equivalent three dimensional theory. The causal structure is analyzed.

Van Der Waals black holes in d dimensions

“…We note in passing that the Lemos string [19] has the thermodynamic properties of a perfect gas, and the Schwarzschild AdS solution has the thermodynamics of a non interacting ball with size parameter a = (1 + c ℓ )(d − 3)/(π(d − 2)). The interaction between the gas particles is accommodated by a linear term in the metric function.…”

Holographic complexity of cold hyperbolic black holes

“…The purpose of this note is to study some properties of the holographic complexity, as defined by the ansatz (1.1), in such degenerate systems. In particular, we shall consider the concrete case of thermofield double states for pairs of CFTs on hyperboloids, as defined by AdS hyperbolic black holes [24][25][26][27][28][29][30][31][32][33]. We begin in section 2 with a review of the relevant geometries and we continue in section 3 with the approximate calculation of the complexity.…”

Stationary black holes in a generalized three-dimensional theory of gravity

“…To define mass and angular momentum for the black hole solutions (10)- (11) we apply the formalism of Regge and Teitelboim [20] (see also [14,17]). …”