Spacetimes through Hawking Ellis construction with a background Riemannian metric

Details Spacetimes through Hawking Ellis construction with a background Riemannian metric Spacetimes through Hawking Ellis construction with a background Riemannian metric

Jul 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007cqgra..24.3339r&link_type=abstract

Classical and Quantum Gravity, Volume 24, Issue 13, pp. 3339-3345 (2007).

Mathematics

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Scientific paper

Following up on our earlier work on a Lorentzian metric induced from a Riemannian metric by a unit vector field, we consider the case when the Lorentzian metric represents a special type of synchronous spacetime. Under this assumption, if the Lorentz metric is a four-dimensional vacuum spacetime, then we show that it is a Minkowskian expanding hyperbolic cosmological model. Under the same assumption, we also examine the spacetime when the background Riemannian metric is a Ricci soliton, and find that the Ricci soliton is steady and Ricci-flat and the associated spacetime is static and decomposable as the product of time line and a Ricci flat space.

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