Electrostatic solutions in Kaluza-Klein theory: geometry and stability

Details Electrostatic solutions in Kaluza-Klein theory: geometry and stability Electrostatic solutions in Kaluza-Klein theory: geometry and stability

1999-11-26

arxiv.org/abs/gr-qc/9911107v1

Grav.Cosmol.6:207-218,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex file, 21 pages

Scientific paper

We investigate the family of electrostatic spherically symmetric solutions of the five-dimensional Kaluza-Klein theory. Both charged and neutral cases are considered. The analysis of the solutions, through their geometrical properties, reveals the existence of black holes, wormholes and naked singularities. A new class of regular solutions is identified. A monopole perturbation study of all these solutions is carried out, enabling us to prove analytically the stability of large classes of solutions. In particular, the black hole solutions are stable, while for the regular solutions the stability analysis leads to an eigenvalue problem.

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