2010/01/31 by H. Lü, H. Lu, Yi Pang · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1103/physrevd.81.085016
published as Phys.Rev.D81:085016,2010 · 8 pages, the curvature convention is changed, minor corrections and references added.
openalex publication_date 2010/04/15 · arxiv created 2010/04/16 · arxiv updated 2010/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 S4 reduction of eleven-dimensional supergravity with the R4 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 AdS7, and also squashed seven spheres and Q111 spaces in Euclidean signature.