Regularized Black Holes from Doubled FLRW Cosmologies
Abstract
Reduced general relativity for four-dimensional spherically-symmetric stationary space-times, more simply called the black hole mini-superspace, was shown in previous work to admit a symmetry under the three-dimensional Poincar\'e group ISO(2,1). Such a non-semi-simple symmetry group usually signals that the system is a special case of a more general model admitting a semi-simple Lie group symmetry. We explore here possible modifications of the Hamiltonian constraint of the mini-superspace. We identify in particular a continuous deformation of the dynamics that lifts the degeneracy of the Poincar\'e group and leads to a SO(3,1) or SO(2,2) symmetry. This deformation is not related to the cosmological constant. We show that the deformed dynamics can be represented as the superposition of two non-interacting homogeneous FRW cosmologies, with flat slices filled with perfect fluid. The resulting modified black hole metrics are found to be non-singular.
Keywords
Cite
@article{arxiv.2308.09200,
title = {Regularized Black Holes from Doubled FLRW Cosmologies},
author = {Marc Geiller and Etera R. Livine and Francesco Sartini},
journal= {arXiv preprint arXiv:2308.09200},
year = {2023}
}
Comments
12 pages, v2: extended discussion with added comparison with existing modified black hole ansatz, accepted for publication in Phys Rev D