Massive gravity, the elasticity of space-time and perturbations in the dark sector - INSPIRE

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Massive gravity, the elasticity of space-time and perturbations in the dark sector

Richard A. Battye
(
- Manchester U.
)
,
Jonathan A. Pearson
(
- Durham U., Dept. of Math. and
- Manchester U.
)

Jan, 2013

8 pages

Published in:

Phys.Rev.D 88 (2013) 8, 084004

Published: Oct 3, 2013

e-Print:

1301.5042 [astro-ph.CO]

DOI:

10.1103/PhysRevD.88.084004

View in:

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Abstract: (APS)

We consider a class of phenomenological modified gravity models where the terms added to the standard Einstein-Hilbert Lagrangian are just a function of the metric only. For linearized perturbations around an isotropic space-time, this class of models is entirely specified by a rank-4 tensor that encodes possibly time-dependent masses for the gravitons. This tensor has the same symmetries as an elasticity tensor, suggesting an interpretation of massive gravity as an effective rigidity of space-time. If we choose a form for this tensor that is compatible with the symmetries of Friedmann-Robertson-Walker and enforce full reparametrization invariance, then the only theory possible is a cosmological constant. However, in the case where the theory is only time translation invariant, the ghost-free massive gravity theory is equivalent to the elastic dark energy scenario with the extra Lorentz violating vector giving rise to 2 transverse and 1 longitudinal degrees of freedom, whereas when one demands spatial translation invariance one is left with a theory where the entropy perturbation is not gauge invariant.

Note:

10 pages

04.50.Kd
14.70.Kv
98.80.Es
gravitation: massive
gravitation: model
field theory: scalar
mass: time dependence
perturbation: linear
violation: Lorentz
invariance: Lorentz

References(60)

Figures(1)

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