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arXiv · 1001.0042

Seven-Dimensional Gravity with Topological Terms

H. Lu·Yi Pang
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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.

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H. Lu, Yi Pang. 2009-12-30. Seven-Dimensional Gravity with Topological Terms. https://doi.org/10.1103/physrevd.81.085016

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