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arXiv · 1508.03880

A family of warped product semi-Riemannian Einstein metrics

Romildo Pina·Marcio Lemes de Sousa
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Abstract

We study warped products semi-Riemannian Einstein manifolds. We consider the case in that the base is conformal to an n-dimensional pseudo Euclidean space and invariant under the action of an translation group. We provide all such solutions in the case Ricci flat when the base is conformal to an n-dimensional pseudo-Euclidean space, invariant under the action of an translation group and the fiber F is Ricci flat. In particular, we obtain explicit solutions, in the case vacuum, for the Einstein field equation.

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Romildo Pina, Marcio Lemes de Sousa. 2015-08-17. A family of warped product semi-Riemannian Einstein metrics. https://arxiv.org/abs/1508.03880

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