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Self-accelerating massive gravity: Exact solutions for any isotropic matter distribution

Pierre Gratia, Wayne Hu, and Mark Wyman
Phys. Rev. D 86, 061504(R) – Published 17 September 2012

Abstract

We present an exact solution to the equations of massive gravity that displays cosmological constantlike behavior for any spherically symmetric distribution of matter, including arbitrary time dependence. On this solution, the new degrees of freedom from the massive graviton generate a cosmological constantlike contribution to stress energy that does not interact directly with other matter sources. When the effective cosmological constant contribution dominates over other sources of stress energy, the cosmological expansion self-accelerates, even when no other dark-energy-like ingredients are present. The new degrees of freedom introduced by giving the graviton the mass do not respond to arbitrarily large radial or homogeneous perturbations from other matter fields on this solution. We comment on possible implications of this result.

  • Received 23 May 2012

DOI:https://doi.org/10.1103/PhysRevD.86.061504

© 2012 American Physical Society

Authors & Affiliations

Pierre Gratia1,*, Wayne Hu2, and Mark Wyman2,†

  • 1Department of Physics, University of Chicago, Chicago, Illinois 60637, USA
  • 2Kavli Institute for Cosmological Physics, University of Chicago, Chicago, Illinois 60637, USA and Department of Astronomy and Astrophysics, Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USA

  • *pgratia@uchicago.edu
  • markwy@oddjob.uchicago.edu

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Issue

Vol. 86, Iss. 6 — 15 September 2012

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