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Title: Lorentz-breaking massive gravity in curved space

Journal Article · · Physical Review. D, Particles Fields
 [1];  [2]; ;  [3]
  1. FSB/ITP/LPPC, Ecole Polytechnique Federale de Lausanne, CH-1015, Lausanne (Switzerland)
  2. INFN, Sezione di Ferrara, I-35131 Ferrara (Italy)
  3. Dipartimento di Fisica, Universita di L'Aquila, I-67010 L'Aquila, and INFN, Laboratori Nazionali del Gran Sasso, I-67010 Assergi (Italy)

A systematic study of the different phases of Lorentz-breaking massive gravity in a curved background is performed. For tensor and vector modes, the analysis is very close to that of Minkowski space. The most interesting results are in the scalar sector where, generically, there are two propagating degrees of freedom (DOF). While in maximally symmetric spaces ghostlike instabilities are inevitable, they can be avoided in a FRW background. The phases with less than two DOF in the scalar sector are also studied. Curvature allows an interesting interplay with the mass parameters; in particular, we have extended the Higuchi bound of de Sitter to Friedman-Robertson-Walker and Lorentz-breaking masses. As in dS, when the bound is saturated there is no propagating DOF in the scalar sector. In a number of phases the smallness of the kinetic terms gives rise to strongly coupled scalar modes at low energies. Finally, we have computed the gravitational potentials for pointlike sources. In the general case we recover the general relativity predictions at small distances, whereas the modifications appear at distances of the order of the characteristic mass scale. In contrast with Minkowski space, these corrections may not spoil the linear approximation at large distances.

OSTI ID:
21322484
Journal Information:
Physical Review. D, Particles Fields, Vol. 80, Issue 4; Other Information: DOI: 10.1103/PhysRevD.80.044025; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English

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