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Constant scalar curvature and warped product globally null manifolds

✍ Scribed by K.L. Duggal

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 129 KB
Volume: 43
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(02)00032-3

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✦ Synopsis

This paper deals with the curvature properties of a class of globally null manifolds (M, g) which admit a global null vector field and a complete Riemannian hypersurface. Using the warped product technique we study the fundamental problem of finding a warped function such that the degenerate metric g admits a constant scalar curvature on M. Our work has an interplay with the static vacuum solutions of the Einstein equations of general relativity.

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