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arXiv · 1808.09998

A Class of Higher-Dimensional Solutions of Einstein's Vacuum Equation

Carlos Batista·Gabriel Luz Almeida
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Abstract

A new class of higher-dimensional exact solutions of Einstein's vacuum equation is presented. These metrics are written in terms of the exponential of a symmetric matrix and when this matrix is diagonal the solution reduces to higher-dimensional generalizations of Kasner spacetime with a cosmological constant. On the other hand, the metrics attained when such matrix is non-diagonal have more intricate algebraic structures. Such solutions have not been presented in the literature yet.

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Carlos Batista, Gabriel Luz Almeida. 2018-08-29. A Class of Higher-Dimensional Solutions of Einstein's Vacuum Equation. https://arxiv.org/abs/1808.09998

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