New black holes of vacuum Einstein equations with hyperscaling violation and Nil geometry horizons

Abstract

In this paper, we present a new solution of the vacuum Einstein equations in five dimensions which is a static black hole with hyperscaling violation and with a three-dimensional horizon modeled by one the eight Thurston geometries, namely the Nil geometry. This homogeneous geometry is non-trivial in the sense that it is neither of constant curvature nor a product of constant curvature manifolds. Using the Hamiltonian formalism, we identify the mass and entropy of the black hole solution. Curiously enough, in spite of the fact that the entropy turns to be negative, the mass is positive and the first law of thermodynamics holds. We also discuss the extension in higher dimension.

6 pages

References in corpus (4)

• Effective Holographic Theories for low-temperature condensed matter systems
• Non-relativistic holography
• Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
• Charged Black Branes with Hyperscaling Violating Factor

Cited by in corpus (10)

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• Thermodynamics of dyonic black holes with Thurston horizon geometries
• Revisiting Buchdahl transformations: New static and rotating black holes in vacuum, double copy, and hairy extensions
• Towards the Cardy formula for hyperscaling violation black holes
• Thermoelectric Transport Coefficients from Charged Solv and Nil Black Holes
• Thurston Geometries in Three-Dimensional New Massive Gravity
• Gravitational Waves from Thurston Geometries
• Anisotropic Schrödinger black holes with hyperscaling-violation
• Spatially homogeneous black hole solutions in $z=4$ Hořava-Lifshitz gravity in $(4+1)$ dimensions with Nil geometry and $H^2\times R$ horizons
• Non-Abelian target space duals of Thurston geometries