# Massive gravity in Minkowski space via the gravitational Higgs mechanism

@article{Kakushadze2007MassiveGI, title={Massive gravity in Minkowski space via the gravitational Higgs mechanism}, author={Zurab Kakushadze}, journal={Physical Review D}, year={2007}, volume={77}, pages={024001} }

In the gravitational Higgs mechanism graviton components acquire mass in the process of spontaneous breaking of diffeomorphisms (via scalar vacuum expectation values). Recently, the gravitational Higgs mechanism was discussed in the context of obtaining massive gravity directly in four dimensions. We discuss a setup, with all diffeomorphisms spontaneously broken by scalars, where the gravitational Higgs mechanism results in massive gravity in Minkowski space with no nonunitary propagating modes…

## 29 Citations

### Higgs Mechanism for Gravitons

- Physics
- 2010

Just like the vector gauge bosons in the gauge theories, it is now known that gravitons acquire mass in the process of spontaneous symmetry breaking of diffeomorphisms through the condensation of…

### Massless Limit of Gravitational Higgs Mechanism

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In gravitational Higgs mechanism graviton components acquire mass via spontaneous diffeomorphism breaking by scalar vacuum expectation values. We point out that in the massless limit the resulting…

### Massive gravity in de Sitter space via the gravitational Higgs mechanism

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In this paper we discuss massive gravity in de Sitter space via the gravitational Higgs mechanism, which provides a nonlinear definition thereof. The Higgs scalars are described by a nonlinear sigma…

### MASSIVE GRAVITY IN CURVED COSMOLOGICAL BACKGROUNDS

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We study the physical propagating modes in a massive gravity model in curved cosmological backgrounds, which we have found as classical solutions in our previous paper. We show that, generically,…

### General tensor Lagrangians from the gravitational Higgs mechanism

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The gravitational Higgs mechanism proposed by 't Hooft in arXiv:0708.3184 involves the spacetime metric gμν as well as the induced metric where ϕa (a = 0, …, 3), as we call it, break all four…

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Motivated by ideas obtained from both ghost condensation and gravitational Higgs mechanism, we attempt to find classical solutions in the unitary gauge in general ghost condensation models. It is…

### Non-perturbative Massive Solutions in Gravitational Higgs Mechanism

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- 2013

We construct exact non-perturbative massive solutions in the gravitational Higgs mechanism. They confirm the conclusions of arXiv:1102.4991, which are based on non-perturbative Hamiltonian analysis…

### Non-perturbative Unitarity of Gravitational Higgs Mechanism

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- 2011

In this paper we discuss massive gravity in Minkowski space via gravitational Higgs mechanism, which provides a non-perturbative definition thereof. Using this non-perturbative definition, we address…

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``Brane Induced Gravity'' is regarded as a promising framework for addressing the cosmological constant problem, but it also suffers from a ghost instability for parameter values that make it…

### Unitarity check in gravitational Higgs mechanism

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The effective field theory of massive gravity has long been formulated in a generally covariant way [N. Arkani-Hamed, H. Georgi, and M. D. Schwartz, Ann. Phys. (N.Y.) 305, 96 (2003).]. Using this…

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