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26 April 2024
 
  » arxiv » 1410.2408

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Completing Lorentz violating massive gravity at high energies
Diego Blas ; Sergey Sibiryakov ;
Date 9 Oct 2014
AbstractTheories with massive gravitons are interesting for a variety of physical applications, ranging from cosmological phenomena to holographic modeling of condensed matter systems. To date, they have been formulated as effective field theories with a cutoff proportional to a positive power of the graviton mass m_g and much smaller than that of the massless theory (M_P ~ 10^19 GeV in the case of general relativity). In this paper we present an ultraviolet completion for massive gravity valid up to a high energy scale independent of the graviton mass. This is achieved by the introduction of vectors fields that develop condensates and spontaneously break the product of internal and space-time symmetries to a diagonal subgroup. The perturbations of these fields are massive and below their mass the theory reduces to a model of Lorentz violating massive gravity. The latter theory possesses instantaneous modes whose consistent quantization we discuss in detail. We briefly study some modifications to gravitational phenomenology at low-energies. The homogeneous cosmological solutions are the same as in the standard cosmology. The gravitational potential of point sources agrees with the Newtonian one at distances small with respect to m_g^(-1). Interestingly, it becomes repulsive at larger distances.
Source arXiv, 1410.2408
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