Global properties of warped solutions in General Relativity

Details Global properties of warped solutions in General Relativity Global properties of warped solutions in General Relativity

1998-07-29

arxiv.org/abs/gr-qc/9807079v2

Annals Phys. 276 (1999) 191-222

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages, 5 eps figures, minor changes

Scientific paper

10.1006/aphy.1999.5923

Assuming the four-dimensional space-time to be a general warped product of two surfaces we reduce the four-dimensional Einstein equations to a two-dimensional problem which can be solved. All global vacuum solutions are explicitly constructed and analysed. The classification of the solutions includes the Schwarzschild, the (anti-)de Sitter, and other well-known solutions but also many exact ones whose detailed global properties to our knowledge have not been discussed before. They have a natural physical interpretation describing single or several wormholes, domain walls of curvature singularities, cosmic strings, cosmic strings surrounded by domain walls, solutions with closed timelike curves, etc.

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