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arXiv · 1711.00834

Invariant Solutions for the Einstein Field Equation

Marcelo Barbosa·Benedito Leandro·Romildo Pina
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Abstract

In this paper we provide a method capable of producing an infinite number of solutions for Einstein's equation on static spacetimes with perfect fluid as a matter field. All spacetimes of this type which are symmetric with respect to a given group of translations and whose spatial factor is conformally flat, are characterized. We use this method to give some exact solutions of the referred equation.

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Marcelo Barbosa, Benedito Leandro, Romildo Pina. 2017-11-02. Invariant Solutions for the Einstein Field Equation. https://arxiv.org/abs/1711.00834

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