Seven-Dimensional Gravity with Topological Terms

Details Seven-Dimensional Gravity with Topological Terms Seven-Dimensional Gravity with Topological Terms

2009-12-30

arxiv.org/abs/1001.0042v2

Phys.Rev.D81:085016,2010

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, the curvature convention is changed, minor corrections and references added.

Scientific paper

10.1103/PhysRevD.81.085016

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.

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