We study perturbations around some cosmological backgrounds in the de Rham-Gabadadze-Tolley theory of massive gravity. We develop a general formalism to calculate the perturbations around any background. We derive the Lagrangian for fluctuations in the small-scale limit, and for the open Friedman-Robertson- Walker solution we repeat the analysis around the full background. We find that the perturbations display similar properties: the longitudinal modes of the massive graviton are instantaneous at quadratic level, but they acquire a kinetic term at cubic order.

Cosmology and perturbations in massive gravity / D'Amico, Guido. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - 86:12(2012). [10.1103/PhysRevD.86.124019]

Cosmology and perturbations in massive gravity

D'Amico, Guido
2012

Abstract

We study perturbations around some cosmological backgrounds in the de Rham-Gabadadze-Tolley theory of massive gravity. We develop a general formalism to calculate the perturbations around any background. We derive the Lagrangian for fluctuations in the small-scale limit, and for the open Friedman-Robertson- Walker solution we repeat the analysis around the full background. We find that the perturbations display similar properties: the longitudinal modes of the massive graviton are instantaneous at quadratic level, but they acquire a kinetic term at cubic order.
Cosmology and perturbations in massive gravity / D'Amico, Guido. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - 86:12(2012). [10.1103/PhysRevD.86.124019]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2856380
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