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arXiv · 1512.08561

Exact Solutions in Weyl-Cubed Gravity

Mohammad A. Ganjali
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Abstract

A unitary gravitational action up to third order of curvature in which respects to the holographic $a-$theorem has been constructed in \cite{myers}. In particular, its third order term is just the Weyl-cubed term in four dimensions. In this paper, we study this theory and find some its exact classical solutions. We show that the theory admits conformally flat, Lifshitz, Schr\"{o}dinger and also hyperscaling-violating backgrounds as the solutions of equations of motion. Our analysis has been done for the pure Weyl-cubed gravity, Einstein plus Weyl-cubed term and gravity with matter.

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Mohammad A. Ganjali. 2015-12-28. Exact Solutions in Weyl-Cubed Gravity. https://arxiv.org/abs/1512.08561

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