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The Birkhoff theorem for topologically massive gravity

Marco Cavaglia
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Abstract

We derive the general $Σ_2\times S$ solution of topologically massive gravity in vacuum and in presence of a cosmological constant. The field equations reduce to three-dimensional Einstein equations and the solution has constant Ricci tensor. We briefly discuss the emergence of non-Ricci flat solutions when spin is introduced.

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Marco Cavaglia. 1999-04-19. The Birkhoff theorem for topologically massive gravity. https://arxiv.org/abs/gr-qc/9904047

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