New 2D dilaton gravity for nonsingular black holes

Abstract

We construct a two-dimensional action that is an extension of spherically symmetric Einstein-Lanczos-Lovelock gravity. The action contains arbitrary functions of the areal radius and the norm squared of its gradient, but the field equations are second order and obey Birkhoff's theorem. In complete analogy with spherically symmetric Einstein-Lanczos-Lovelock gravity, the field equations admit the generalized Misner-Sharp mass as the first integral that determines the form of the vacuum solution. The arbitrary functions in the action allow for vacuum solutions that describe a larger class of interesting nonsingular black-hole spacetimes than previously available.

Fully revised version, including covariant field equations, 38 pages, extended version of arXiv:1509.04243 with details of derivations and proofs

References in corpus (9)

• The Lovelock Black Holes
• Information loss problem and a `black hole' model with a closed apparent horizon
• Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
• Quantum Raychaudhuri equation
• Lovelock black holes with maximally symmetric horizons
• Effective Polymer Dynamics of D-Dimensional Black Hole Interiors
• Complete, Single-Horizon Quantum Corrected Black Hole Spacetime
• Modelling the Evaporation of Non-singular Black Holes
• New second derivative theories of gravity for spherically symmetric spacetimes

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