600 research outputs found
Global solutions in gravity
The method of conformal blocks for construction of global solutions in
gravity for a two-dimensional metric having one Killing vector field is
described.Comment: 4 pages, 2 figures, minor change
Global properties of warped solutions in General Relativity
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.Comment: 35 pages, 5 eps figures, minor change
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