Phases of massive gravity

By S. Dubovsky. 2004

277 citations recorded by the source corpus.

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 six propagating degrees of freedom, and some of them are ghosts or lead to rapid classical instabilities. However, there is a number of different regions in the mass parameter space where massive gravity is described by a consistent low-energy effective theory with cutoff ~ (mMPl)1/2. This theory is free of rapid instabilities and vDVZ discontinuity. Each of these regions is characterized by certain fine-tuning relations between mass parameters, generalizing the Fierz–Pauli condition. In some cases the required fine-tunings are consequences of the existence of the subgroups of the diffeomorphism group that are left unbroken by the graviton mass. We found two new cases, when the resulting theories have a property of UV insensitivity, i.e. remain well behaved after inclusion of arbitrary higher dimension operators without assuming any fine-tunings among the coefficients of these operators, besides those enforced by the symmetries. These theories can be thought of as generalizations of the ghost condensate model with a smaller residual symmetry group. We briefly discuss what kind of cosmology can one expect in massive gravity and argue that the allowed values of the graviton mass may be quite large, affecting growth of primordial perturbations, structure formation and, perhaps, enhancing the backreaction of inhomogeneities on the expansion rate of the Universe.

View Paper: https://www.semanticscholar.org/paper/b165ff7d8199f72dbe9c8bacfef49ccc52dbbde4

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Citations in the corpus

Causality, analyticity and an IR obstruction to UV completion (2006, background): “While our arguments do not directly apply to theories in which the vacuum spontaneously breaks Lorentz invariance, such as Higgs phases of gravity [6, 7, 8] or the models studied in [12], it would be interesting to ask whether there are any analogous constraints to those we have discussed.”
Solid holography and massive gravity (2015, methodology): “We have identified the mass term m1 of [6] with the mass term m10 in our case.”
Massive Gravity (2014, methodology): “Using this constraint back in the action, one can check that there remains no time derivatives on any of the scalar fields, which means that there are no propagating helicity-0 mode on Minkowski either [200, 437, 438].”
Null energy condition and superluminal propagation (2005, methodology): “To analyze this system, it is convenient to rescale π0 and π1 and rewrite the Lagrangian as in [12, 13],”
Effective field theory for hydrodynamics: Thermodynamics, and the derivative expansion (2011, background): “A more interesting question could be to explore alternative choices of symmetries acting on the fluid Goldstones and to see which ones may lead to interesting systems that can be realized in nature (some symmetries leading to interesting systems that are very unlikely to be realized in nature have b”
Galileon as a local modification of gravity (2008, background): “We have now several examples of theories that modify gravity [3, 4, 5, 6].”
Equivalence Principle Implications of Modified Gravity Models (2009, background): “Theories that invoke a Lorentz violating massive graviton also involve a scalar, namely a ghost condensate [14, 15].”
Ghosts in massive gravity (2005, background): “significantly ‘healthier’ than the traditional Lorentz-invariant theory; it particular they can avoid the vDVZ discontinuity and the strong coupling problem, and they can be free of ghosts [14, 15, 16].”
Solid Inflation (2012, background): “Theories like this have been studied in broad generality in [25].”
Helicity decomposition of ghost-free massive gravity (2011, background): “In 2002, Arkani-Hamed, Georgi and Schwartz (AGS), suggested a complementarily approach to study massive gravity as an effective field theory and introduced four Stückelberg fields φa to make the counting of degrees of freedom transparent, [11], (see also [12]).”
Imperfect Dark Energy from Kinetic Gravity Braiding (2010, background): “Much advance has been accomplished, with several consistent models now well understood, such as (the normal branch of) DGP-type models [1, 2] as well as a number of Lorentz-violating setups [3, 4, 5], see also review [6].”
Massive Cosmologies (2011, background): “2 Massive GR and Cosmology For massive GR the action is a functional of the metric gμν(x), and four spurious scalar fields φ(x), a = 0, 1, 2, 3; the latter are introduced to give a manifestly diffeomorphism invariant description [19, 20].”
Theoretical Aspects of Massive Gravity (2011, background): “In the former case, a systematic study of the possible mass terms and their degrees of freedom, generalizing the Fierz-Pauli analysis to the case where the mass term preserves only rotation invariance, is performed in [225].”