Exact Solutions in Weyl-Cubed Gravity
High Energy Physics - Theory
2016-01-13 v2
Abstract
A unitary gravitational action up to third order of curvature in which respects to the holographic 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.
Keywords
Cite
@article{arxiv.1512.08561,
title = {Exact Solutions in Weyl-Cubed Gravity},
author = {Mohammad A. Ganjali},
journal= {arXiv preprint arXiv:1512.08561},
year = {2016}
}
Comments
16 pages, no figure, Refrences added