Higher dimensional nonlinear massive gravity

Feb 17, 2016
21 pages
Published in:
  • Phys.Rev.D 93 (2016) 10, 104003
  • Published: May 2, 2016
e-Print:

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Abstract: (APS)
Inspired by a recent ghost-free nonlinear massive gravity in four-dimensional spacetime, we study its higher dimensional scenarios. As a result, we are able to show the constantlike behavior of massive graviton terms for some well-known metrics such as the Friedmann-Lemaitre-Robertson-Walker, Bianchi type I, and Schwarzschild-Tangherlini (anti-) de Sitter metrics in a specific five-dimensional nonlinear massive gravity under an assumption that its fiducial metrics are compatible with physical ones. In addition, some simple cosmological solutions of the five-dimensional massive gravity are figured out consistently.
Note:
  • 20 pages, no figure. Some discussions on the Schwarzschild-Tangherlini-(A)dS black holes and references are added. Comments are welcome
  • 04.50.Kd
  • 04.50.-h
  • 95.30.Sf
  • 98.80.Jk
  • gravitation: massive
  • dimension: 5
  • graviton: massive
  • dimension: 4
  • nonlinear
  • higher-dimensional