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Some higher-dimensional vacuum solutions
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Date
2001-02-07
Author
Gurses, M
Karasu, Atalay
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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We study an even-dimensional manifold with a pseudo-Riemannian metric with arbitrary signature and arbitrary dimensions. We consider the Ricci flat equations and present a procedure to construct solutions to some higher(even-) dimensional Ricci flat field equations from the four-dimensional Ricci flat metrics. When the four-dimensional Ricci flat geometry corresponds to a colliding gravitational vacuum spacetime our approach provides an exact solution to the vacuum Einstein field equations for colliding gravitational plane waves in an (arbitrary) even-dimensional spacetime. We give explicitly higher-dimensional Szekeres metrics and study their singularity behaviour.
Subject Keywords
Physics and Astronomy (miscellaneous)
URI
https://hdl.handle.net/11511/46462
Journal
CLASSICAL AND QUANTUM GRAVITY
DOI
https://doi.org/10.1088/0264-9381/18/3/310
Collections
Department of Physics, Article