Abstract
We construct new seven-dimensional gravity by adding two topological terms to the Einstein-Hilbert action. For a certain choice of the coupling constants, these terms exist naturally in seven-dimensional gauged supergravity from the reduction of eleven-dimensional supergravity with the corrections. 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 , and also squashed seven spheres and spaces in Euclidean signature.
- Received 6 January 2010
DOI:https://doi.org/10.1103/PhysRevD.81.085016
©2010 American Physical Society