4.7 Article

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

Journal

PHYSICAL REVIEW D
Volume 86, Issue 6, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.86.061504

Keywords

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Funding

  1. National Research Fund Luxembourg [BFR08-024]
  2. Kavli Institute for Cosmological Physics at the University of Chicago [NSF PHY-0114422, NSF PHY-0551142]
  3. Kavli Foundation
  4. U.S. Dept. of Energy Contract [DE-FG02-90ER-40560]
  5. Direct For Mathematical & Physical Scien
  6. Division Of Physics [1125897] Funding Source: National Science Foundation

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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.

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