Theoretical Aspects of Massive Gravity

By Kurt Hinterbichler. 2011

984 citations recorded by the source corpus.

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\"ukelberg formalism to discuss them from the modern effective field theory viewpoint. We review recent progress of the last decade, including the dissolution of the vDVZ discontinuity via the Vainshtein screening mechanism, the existence of a consistent effective field theory with a stable hierarchy between the graviton mass and the cutoff, and the existence of particular interactions which raise the maximal effective field theory cutoff and remove the ghosts. In addition, we review some peculiarities of massive gravitons on curved space, novel theories in three dimensions, and examples of the emergence of a massive graviton from extra-dimensions and brane worlds.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e2b17e71b2af224c5905c2907d8615d77618fa55

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Citations in the corpus

Heavy spin-2 Dark Matter (2016, methodology): “For the history and detailed reviews of theories for massive spin-2 fields we refer the reader to [14–16].”
Inconsistency of islands in theories with long-range gravity (2021, background): “Even in massive gravity, we find that if one studies a state close to the Minkowski vacuum then the matter energy-density and the metric perturbation are related by the following constraint [97]:”
Positive signs in massive gravity (2016, methodology): “3), the Hamiltonian loses a constraint, activating a scalar ghost degree of freedom [1].”
Stellar structure models in modified theories of gravity: Lessons and challenges (2019, background): “[301]) is an extension of GR where a second metric is introduced to generate a set of non-trivial terms able to remove any ghost mode.”
Beyond the Cosmological Standard Model (2014, neutral): “This situation is not so alien, an analogous situation occurs in GR [262, 570].”
Symmetron Cosmology (2011, background): “This mechanism is central to the phenomenological viability of brane-world modifications of gravity [37]−[52], massive gravity [36], [53]−[61] (see [62] for a review), degravitation models [63]−[66] and galileon theories [67]−[80].”
A pseudoscalar decaying to photon pairs in the early LHC Run 2 data (2015, methodology): “Consider a spin-2 Lagrangian with a Fierz-Pauli mass term (as is automatically implied by the Kaluza Klein reduction of 5 dimensional models, see [44] for a review)”
On couplings to matter in massive (bi-)gravity (2014, background): “[6–8]), much remains to be explored in these types of theories including their stability under quantum effects and their couplings to matter.”
A systematic approach to generalisations of General Relativity and their cosmological implications (2018, background): “Since there exist already exhaustive reviews on massive gravity [72, 73, 74], we only aim at discussing the very recent developments in this respect and the points relevant for the rest of this review.”
Thermodynamics of Black Holes in Massive Gravity (2014, background): “In [14, 15, 16], a classical of nonlinear massive gravity theories has been proposed, in which the ghost field is absent [17, 18].”
Universal Resistivity from Holographic Massive Gravity (2013, background): “A nice review of these issues can be found in [19].”
Extensions of theories from soft limits (2016, background): “It is well-known that both general Galileons (and hence sGal) and NLSM arise as effective theories of the Stükelberg field in the decoupling limit of massive gravity and Yang-Mills theories respectively [25].”