The mass of a Lifshitz black hole

Abstract

It is well known that massive 3D gravity admits solutions that describe Lifshitz black holes as those considered in non-relativistic holography. However, the determination of the mass of such black holes remained unclear as many different results were reported in the literature presenting discrepancies. Here, by using a robust method that permits to tackle the problem in the strong field regime, we determine the correct mass of the Lifshitz black hole of the higher-derivative massive gravity and compare it with other results obtained by different methods. Positivity of the mass spectrum demands an odd normalization of the gravity action. In spite of this fact, the result turns out to be consistent with computations inspired in holography.

arXiv comment12 pages. No figures

References in corpus (26)

• The Black Hole in Three Dimensional Space Time
• Gravity Duals of Lifshitz-like Fixed Points
• Massive Gravity in Three Dimensions
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• More on Massive 3D Gravity
• Gravitational Energy in Quadratic Curvature Gravities
• Supertranslations and Superrotations at the Black Hole Horizon
• Lifshitz Black Hole in Three Dimensions
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Extended Symmetries at the Black Hole Horizon
• Boundary charges in gauge theories: using Stokes theorem in the bulk
• A Lifshitz Black Hole in Four Dimensional R^2 Gravity
• A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds
• Field theories with anisotropic scaling in 2D, solitons and the microscopic entropy of asymptotically Lifshitz black holes
• The first law of thermodynamics in Lifshitz black holes revisited
• Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity
• First law and anisotropic Cardy formula for three-dimensional Lifshitz black holes
• Mass and Angular momentum of Black Holes in New Massive Gravity
• Conserved Killing charges of quadratic curvature gravity theories in arbitrary backgrounds
• Dilaton gravity approach to three dimensional Lifshitz black hole
• Towards the uniqueness of Lifshitz black holes and solitons in New Massive Gravity
• Horizon symmetries and hairy black holes in AdS
• Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes
• Vacua of Exotic Massive 3D Gravity
• Anisotropic Scale Invariant Spacetimes and Black Holes in Zwei-Dreibein Gravity
• Stationary Lifshitz Black Hole of New Massive Gravity