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Regularity and stability of electrostatic solutions in Kaluza-Klein theory

M. Azreg-Ainou·G. Clement·C. P. Constantinidis·J. C. Fabris
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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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M. Azreg-Ainou, G. Clement, C. P. Constantinidis, J. C. Fabris. 2000-12-01. Regularity and stability of electrostatic solutions in Kaluza-Klein theory. https://arxiv.org/abs/gr-qc/0012003

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