Seven-Dimensional Gravity with Topological Terms

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.

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

References in corpus (4)

• Massive Gravity in Three Dimensions
• Chiral Gravity in Three Dimensions
• Three-Dimensional Gravity Revisited
• Black Hole Entropy in the presence of Chern-Simons Terms

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• Stationary rotating black holes in theories with gravitational Chern-Simons Lagrangian term
• On M-Theory Embedding of Topologically Massive Gravity
• Gravitational Chern-Simons terms and black hole entropy. Global aspects
• Topologically Massive Gravity from the Heterotic String