Seven-Dimensional Gravity with Topological Terms
High Energy Physics - Theory
2010-05-12 v2
Abstract
We construct new seven-dimensional gravity by adding two topological terms to the Einstein-Hilbert action. For certain choice of the coupling constants, these terms may be related to the R^4 correction to the 3-form field equation of eleven-dimensional supergravity. We derive the full set of the equations of motion. We find that the static spherically-symmetric black holes are unmodified by the topological terms. We obtain squashed AdS_7, and also squashed seven spheres and Q^{111} spaces in Euclidean signature.
Cite
@article{arxiv.1001.0042,
title = {Seven-Dimensional Gravity with Topological Terms},
author = {H. Lu and Yi Pang},
journal= {arXiv preprint arXiv:1001.0042},
year = {2010}
}
Comments
8 pages, the curvature convention is changed, minor corrections and references added.