Stationary Lifshitz black holes of R^2-corrected gravity theory

Abstract

In this short note, I present a generalization of a set of static D-dimensional (D >= 3) Lifshitz black holes, which are solutions of the gravitational model obtained by amending the cosmological Einstein theory with the addition of only the curvature-scalar-squared term and that are described by two parameters, to a more general class of exact, analytic solutions that involves an additional parameter which now renders them stationary. In the special D=3 and the dynamical exponent z=1 case, the parameters can be adjusted so that the solution becomes identical to the celebrated BTZ black hole metric.

7 pages, no figures; ver. 2: added 5 new references (accepted by PRD as a Brief Report)

References in corpus (10)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
• An analytic Lifshitz black hole
• A Lifshitz Black Hole in Four Dimensional R^2 Gravity
• Analytic Lifshitz black holes in higher dimensions
• Holographic Superconductors with Lifshitz Scaling
• On Charged Lifshitz Black Holes
• On the thermodynamics of Lifshitz black holes
• Conserved Killing charges of quadratic curvature gravity theories in arbitrary backgrounds

Cited by in corpus (6)

• Higher Derivative Supergravities in Diverse Dimensions
• Lifshitz black holes in Einstein-Yang-Mills theory
• Homogeneous Solutions of Minimal Massive 3D Gravity
• Supersymmetric Solutions of N = (1,1) General Massive Supergravity
• Stationary Lifshitz Black Hole of New Massive Gravity
• Revisiting Lifshitz-type solutions in $R^2$-corrected gravity