The symmetry of the interior and exterior of Schwarzschild and Reissner–Nordstrom black holes : sphere vs. cylinder

Augousti, Andy T., Radosz, Andrzej, Gusin, Pawel and Kaczmarek, Aleksander (2020) The symmetry of the interior and exterior of Schwarzschild and Reissner–Nordstrom black holes : sphere vs. cylinder. Symmetry, 12(5), e859. ISSN (online) 2073-8994

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Abstract

One can question the relationship between the symmetries of the exterior and interior of black holes with an isotropic and static exterior. This question is justified by the variety of recent findings indicating substantial or even dramatic differences in the properties of the exterior and interior of isotropic, static black holes. By invoking some of these findings related to a variety of the thought experiments with freely falling or uniformly accelerated test particles, one can establish the dynamic properties of the interior, which turn out to be equivalent to anisotropic cosmology, simultaneously expanding and contracting, albeit in different directions. In order to illustrate the comparison between the symmetry of the exterior vs. the interior, we apply conventional t, r, θ, φ coordinates to both of these ranges, although on the horizon(s) they display singular behavior. Using a simple approach based on co-moving and freely falling observers, the dynamics of the cylindrically shaped interior are explored. That enables us to present schematic snapshots of the interior of a Schwarzschild black hole, expanding along its cylindrical axis and contracting along its spherical base, as well as the interior of a Reissner−Nordström black hole, expanding first and then contracting along the cylindrical axis up to the terminal instant r =r−.

Item Type: Article
Uncontrolled Keywords: black holes, exterior vs. interior, isotropic–static vs. expanding–contracting
Research Area: Mechanical, aeronautical and manufacturing engineering
Physics
Faculty, School or Research Centre: Faculty of Science, Engineering and Computing
Faculty of Science, Engineering and Computing > School of Engineering
SWORD Depositor: Mr Jisc Router
Depositing User: Mr Jisc Router
Date Deposited: 28 May 2020 15:30
Last Modified: 28 May 2020 15:30
DOI: https://doi.org/10.3390/sym12050859
URI: http://eprints.kingston.ac.uk/id/eprint/45602

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