Regularity and stability of electrostatic solutions in Kaluza-Klein theory
M. Azreg-Ainou, G. Clement, C.P. Constantinidis, J.C. Fabris
TL;DR
This paper analyzes electrostatic solutions in five-dimensional Kaluza-Klein theory, identifying new solutions and proving the stability of many, including black holes and neutral solutions, through perturbation analysis.
Contribution
It introduces a new class of geodesically complete solutions and provides an analytical proof of stability for a broad set of solutions.
Findings
Discovery of a new class of geodesically complete solutions.
Analytical proof of stability for black holes and neutral solutions.
Identification of solutions beyond black holes and wormholes.
Abstract
We investigate the family of electrostatic spherically symmetric solutions of the five-dimensional Kaluza-Klein theory. Besides black holes and wormholes, a new class of geodesically complete solutions is identified. A monopole perturbation is carried out, enabling us to prove analytically the stability of a large class of solutions, including all black holes and neutral solutions.
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