Cosmology in rotation-invariant massive gravity with non-trivial fiducial metric
arXiv:1405.0358 · doi:10.1088/0264-9381/31/17/175003
Abstract
We investigate the cosmology of SO(3)-invariant massive gravity with 5 degrees of freedom. In contrast with previous studies, we allow for a non-trivial fiducial metric, which can be justified by invoking, for example, a dilaton-like global symmetry. We write the homogeneous and isotropic equations of motion in this more general setup and identify, in particular, de Sitter solutions. We then study the linear perturbations around the homogeneous cosmological solutions, by deriving the quadratic Lagrangian governing the dynamics of scalar, vector and tensor modes. We thus obtain the conditions for the perturbations to be well-behaved. We show that it is possible to find de Sitter solutions whose perturbations are weakly coupled and stable, i.e. without ghost-like or gradient instabilities.
arXiv comment20 pages, minor corrections
References in corpus (32)
- Resummation of Massive Gravity
- Generalization of the Fierz-Pauli Action
- Theoretical Aspects of Massive Gravity
- Resolving the Ghost Problem in non-Linear Massive Gravity
- Massive Cosmologies
- Phases of massive gravity
- Massive gravity: nonlinear instability of the homogeneous and isotropic universe
- Analytic solutions in non-linear massive gravity
- Strong interactions and exact solutions in non-linear massive gravity
- Quasi-Dilaton: Theory and Cosmology
- Self-accelerating Massive Gravity: Exact solutions for any isotropic matter distribution
- Nonlinear stability of cosmological solutions in massive gravity
- Mass-Varying Massive Gravity
- Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity
- Cosmological solutions with massive gravitons
- Quantum Corrections in Massive Gravity
- New Cosmological Solutions in Massive Gravity
- Exact self-accelerating cosmologies in the ghost-free bigravity and massive gravity
- Lorentz Breaking Massive Gravity in Curved Space
- Towards consistent extension of quasidilaton massive gravity
- Cosmological Perturbations in Extended Massive Gravity
- Cosmological solutions of massive gravity on de Sitter
- A Covariant Master Theory for Novel Galilean Invariant Models and Massive Gravity
- Generalized quasi-dilaton theory
- Massive gravity: a General Analysis
- On Cosmological Perturbations of Quasidilaton
- Covariant Approach to the No-ghost Theorem in Massive Gravity
- Weak Massive Gravity
- Cosmology in General Massive Gravity Theories
- Selfacceleration with Quasidilaton
- Cosmological perturbations of massive gravity coupled to DBI Galileons
- The Rubakov-Callan Scattering on the Supergravity Monopole
Cited by in corpus (14)
- Beyond the Cosmological Standard Model
- Cosmology of bigravity with doubly coupled matter
- Blue-tilted Primordial Gravitational Waves from Massive Gravity
- A new quasidilaton theory of massive gravity
- Stable FLRW solutions in Generalized Massive Gravity
- Stability of the Early Universe in Bigravity Theory
- Dark energy survivals in massive gravity after GW170817: SO(3) invariant
- Nonderivative Modified Gravity: a Classification
- Massive gravity and the suppression of anisotropies and gravitational waves in a matter-dominated contracting universe
- Cosmology in Brans-Dicke-de Rham-Gabadadze-Tolley massive gravity
- Primordial Tensor Non-Gaussianity from Massive Gravity
- Phenomenology of minimal theory of quasidilaton massive gravity
- Towards a sound massive cosmology
- Cosmological Study in Myrzakulov Quasi-dilaton Massive Gravity