# Theoretical Aspects of Massive Gravity

@article{Hinterbichler2012TheoreticalAO, title={Theoretical Aspects of Massive Gravity}, author={Kurt Hinterbichler}, journal={Reviews of Modern Physics}, year={2012}, volume={84}, pages={671-710} }

Massive gravity has seen a resurgence of interest due to recent progress which has overcome its traditional problems, yielding an avenue for addressing important open questions such as the cosmological constant naturalness problem. The possibility of a massive graviton has been studied on and off for the past 70 years. During this time, curiosities such as the vDVZ discontinuity and the Boulware-Deser ghost were uncovered. We re-derive these results in a pedagogical manner, and develop the St…

## 807 Citations

### Aspects of Massive Spin-2 Effective Field Theories

- Physics
- 2017

General relativity describes gravity in terms of an interacting massless spin-2 field—the graviton. This 100-year-old theory has been spectacularly successful in explaining observations. However,…

### Nonlinear dynamical stability of infrared modifications of gravity

- Physics
- 2014

Scalar forces "screened" by the Vainshtein mechanism may hold the key to understanding the cosmological expansion of our universe, while predicting new and exciting features in the interaction…

### Large-Scale Structure Formation in Bimetric Gravity

- Physics
- 2014

One of the most prominent questions in modern cosmology is the origin of the accelerated expansion of the universe. A solution might lie in modifying gravity in the infrared
by adding a small mass…

### Theoretical and Observational Viability of Modified Gravity

- Physics
- 2014

The origin of the late-time cosmic acceleration is one of the most intriguing problems of modern physics; the standard theoretical explanation requires extreme fine-tuning to match observations.…

### On the corpuscular theory of gravity

- PhysicsInternational Journal of Geometric Methods in Modern Physics
- 2019

The aim of this work is to provide a general description of the corpuscular theory of gravity. After reviewing some of the major conceptual issues emerging from the semiclassical and field theoretic…

### Completing Lorentz violating massive gravity at high energies

- Physics
- 2014

Theories with massive gravitons are interesting for a variety of physical applications, ranging from cosmological phenomena to holographic modeling of condensed matter systems. To date, they have…

### Ju l 2 01 3 A non-local theory of massive gravity

- Physics
- 2013

We construct a fully covariant theory of massive gravity which does not require the introduction of an external reference metric, and overcomes the usual problems of massive gravity theories (fatal…

### Constraints on quasidilaton massive gravity

- Physics, GeologyPhysical Review D
- 2019

The last decade has seen great advancements in the field of modified gravity, motivated by the dark energy problem, or by the search for a fundamental quantum gravity theory. With a…

### Einstein gravity, massive gravity, multi-gravity and nonlinear realizations

- Physics
- 2014

A bstractThe existence of a ghost free theory of massive gravity begs for an interpre-tation as a Higgs phase of General Relativity. We revisit the study of massive gravity as a Higgs phase. Absent a…

## References

SHOWING 1-10 OF 271 REFERENCES

### Softly Massive Gravity

- Physics
- 2003

Large-distance modification of gravity may be the mechanism for solving the cosmological constant problem. A simple model of the large-distance modification — four-dimensional (4D) gravity with the…

### Strong interactions and exact solutions in nonlinear massive gravity

- Physics
- 2011

We investigate strong coupling effects in a covariant massive gravity model, which is a candidate for a ghost-free non-linear completion of Fierz-Pauli. We analyse the conditions to recover general…

### Cosmic acceleration and the helicity-0 graviton

- Physics
- 2011

We explore cosmology in the decoupling limit of a nonlinear covariant extension of Fierz-Pauli massive gravity obtained recently in arXiv:1007.0443. In this limit the theory is a scalar-tensor model…

### Cosmology of the Galileon from Massive Gravity

- Physics
- 2011

We covariantize the decoupling limit of massive gravity proposed in arXiv:1011.1232 and study the cosmology of this theory as a proxy, which embodies key features of the fully non-linear covariant…

### GRAVITATIONAL HIGGS MECHANISM AND MASSIVE GRAVITY

- Physics
- 2008

In Modern Physics Letters A15, 2265 (2000), in the context of domain wall backgrounds, it was shown that spontaneous breaking of diffeomorphism invariance results in gravitational Higgs mechanism.…

### Phases of massive gravity

- Physics, Geology
- 2004

We systematically study the most general Lorentz-violating graviton mass invariant under three-dimensional Eucledian group. We find that at general values of mass parameters the massive graviton has…

### Unitarity check in gravitational Higgs mechanism

- Physics
- 2011

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…

### FINITE-RANGE GRAVITY AND ITS ROLE IN GRAVITATIONAL WAVES, BLACK HOLES AND COSMOLOGY

- Physics
- 2003

Theoretical considerations of fundamental physics, as well as certain cosmological observations, persistently point out to permissibility, and maybe necessity, of macroscopic modifications of the…