# Massive Gravity on Curved Background

@article{Alberte2011MassiveGO, title={Massive Gravity on Curved Background}, author={Lasma Alberte}, journal={arXiv: High Energy Physics - Theory}, year={2011} }

We investigate generally covariant theories which admit a Fierz-Pauli mass term for metric perturbations around an arbitrary curved background. For this we restore the general covariance of the Fierz-Pauli mass term by introducing four scalar fields which preserve a certain internal symmetry in their configuration space. It is then apparent that for each given spacetime metric this construction corresponds to a completely different generally covariant massive gravity theory with different…

## 22 Citations

### Cosmological perturbations in massive gravity and the Higuchi bound

- Physics
- 2012

In de Sitter spacetime there exists an absolute minimum for the mass of a spin-2 field set by the Higuchi bound m2 ⩾ 2H2. We generalize this bound to arbitrary spatially flat FRW geometries in the…

### Cosmological perturbations in massive gravity and the Higuchi bound

- Physics
- 2012

In de Sitter spacetime there exists an absolute minimum for the mass of a spin-2 field set by the Higuchi bound m2 ? 2H2. We generalize this bound to arbitrary spatially flat FRW geometries in the…

### Reduced massive gravity with two Stückelberg fields

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- 2013

We consider the non-linear massive gravity as a theory of a number of St\"uckelberg scalar fields minimally coupled to the Einstein-Hilbert gravity and argue that the counting of degrees of freedom…

### Growth histories in bimetric massive gravity

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- 2012

We perform cosmological perturbation theory in Hassan-Rosen bimetric gravity for general homogeneous and isotropic backgrounds. In the de Sitter approximation, we obtain decoupled sets of massless…

### Bouncing cosmologies in massive gravity on de Sitter

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- 2013

In the framework of massive gravity with a de Sitter reference metric, we study homogeneous and isotropic solutions with positive spatial curvature. Remarkably, we find that bounces can occur when…

### Global existence of the self-interacting scalar field in the de Sitter universe

- Mathematics, PhysicsJournal of Mathematical Physics
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We present some sufficient conditions for the global in time existence of solutions of the semilinear Klein-Gordon equation of the self-interacting scalar field with complex mass. The coefficients of…

### Non-linear massive gravity

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- 2016

Massive gravity is a particular theoretical model that modifies gravity on cosmological scales and therefore could provide a dynamical explanation for the observed accelerated expansion of our…

### Stability of massive gravity solutions for holographic conductivity

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- 2015

We consider non-linear massive gravity with two St\"uckelberg fields in which the diffeomorphism invariance is broken spontaneously in two of the spacetime directions. This theory admits a charged…

### Massive Gravity

- Geology, Physics
- 2014

We review recent progress in massive gravity. We start by showing how different theories of massive gravity emerge from a higher-dimensional theory of general relativity, leading to the…

### Massive Gravity

- Geology, PhysicsLiving reviews in relativity
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Alternative and related models of massive gravity such as new massive gravity, Lorentz-violating massive gravity and non-local massive gravity are presented.

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