On the causal properties of warped product spacetimes
نویسندگان
چکیده
منابع مشابه
On the causal properties of warped product spacetimes
It is shown that the warped product spacetime P = M×f R and the original spacetime M share necessarily the same causality properties, the only exceptions being the properties of causal continuity and causal simplicity which present some subtleties. In this respect it is shown that the direct product spacetime P = M × R is causally simple if and only if (M, g) is causally simple, has a continuou...
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Warped products provide a rich class of physically significant geometric objects. Warped product construction is an important method to produce a new metric with a base manifold and a fibre. We construct compact base manifolds with a positive scalar curvature which do not admit any non-trivial quasi-Einstein warped product, and non compact complete base manifolds which do not admit any non-triv...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2007
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/24/17/012