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Global properties of warped solutions in General Relativity

M. O. Katanaev·T. Kloesch·W. Kummer
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Abstract

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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M. O. Katanaev, T. Kloesch, W. Kummer. 1999-10-04. Global properties of warped solutions in General Relativity. https://doi.org/10.1006/aphy.1999.5923

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