English

Numerical evolution of the interior geometry of charged black holes

General Relativity and Quantum Cosmology 2021-09-15 v2

Abstract

Previously, we developed a late time approximation scheme to study the interior geometry of black holes. In the present paper we test this scheme with numerical relativity simulations. In particular, we present numerical relativity simulations of the interior geometry of charged spherically symmetric two-sided black holes with a spacelike singularity at r=0r = 0. Our numerics are in excellent agreement with the late time approximation. We also demonstrate that the geometry near r=0r = 0 is a scalarized Kasner geometry and compute the associated Kasner exponents.

Keywords

Cite

@article{arxiv.2001.02788,
  title  = {Numerical evolution of the interior geometry of charged black holes},
  author = {Paul M. Chesler},
  journal= {arXiv preprint arXiv:2001.02788},
  year   = {2021}
}

Comments

11 pages, 8 figures. v2: Clarifications made to introduction and discussion sections. Added discussion concerning critical spacelike singularity formation. Published version