Cosmology of the Galileon from Massive Gravity

By Claudia de Rham, Lavinia Heisenberg. 2011

177 citations recorded by the source corpus.

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 theory. We first confirm that it exhibits a self-accelerating solution, similar to what has been found in arXiv:1010.1780, where the Hubble parameter corresponds to the graviton mass. For a certain range of parameters fluctuations relative to the self-accelerating background are stable and form an attractor solution. We also show that a degravitating solution can not be constructed in this covariantized proxy theory in a meaningful way. As for cosmic structure formation, we find that the helicity-0 mode of the graviton causes an enhancement relative to LCDM. For consistency we also compare proxy theories obtained starting from different frames in the decoupling limit and discuss the possibility of obtaining a non-representative proxy theory by choosing the wrong starting frame.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d1bc0c91018752ad6c8196fe03ec842dae084512

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Citations in the corpus

Cosmology in generalized Proca theories (2016, background): “Furthermore, the covariantization of the decoupling-limit interactions gives rise to a specific sub-class of Horndeski theories [62, 63].”
Massive Cosmologies (2011, methodology): “[16], and to exact self-accelerated solutions obtained in Refs.”
Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality (2012, background): “1 Recently this has changed as new nonlinear interactions free of ghosts have been discovered, described and explored by de Rham, Gabadadze, Tolley and others [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27].”
Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity (2014, background): “However, their appropriately covariantised decoupling limits, Galileon Cosmology [57] and proxy massive gravity [58, 59], which should correctly capture the behaviour of the scalar degree of freedom, do belong to the Horndeski class and therefore are described by our formulation.”
Beyond the Cosmological Standard Model (2014, unknown): “150) (49)See [705, 706] for a discussion of the cosmology of a related covariantization of this theory.”
Cosmological tests of modified gravity (2015, background): “[99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 97, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121] for an incomplete list of studies of cosmology in this class of models.”
Cosmology and Fundamental Physics with the Euclid Satellite (2012, background): “It is also worth mentioning that a given subclass of these Horndeski interactions can also be constructed within the context of massive gravity from covariantizing its decoupling limit [396].”
Horndeski theory and beyond: a review (2019, methodology): “gh a Kaluza-Klein compactiﬁcation of higher-dimensional Lovelock gravity. The nonminimal couplings in the Horndeski theory capture the essential structure of (the decoupling limit of) massive gravity [44, 45]. 2.2. ADM decomposition For the later purpose, it is convenient to perform a 3+1 Arnowitt-D”
A systematic approach to generalisations of General Relativity and their cosmological implications (2018, methodology): “Hence, in the same way that one can relate the decoupling limit of massive gravity with the Galileon interactions, one can relate its covariant version with a subclass of Horndeski interactions after covariantization (see [51, 52] for more detail).”
Generalized Proca action for an Abelian vector field (2015, background): “A similar study was already proposed for the Abelian case, and it was shown that the only possibility was to contract the field tensor with divergence-free objects built from curvature [19, 20], i.”
Theoretical Aspects of Massive Gravity (2011, background): “The cosmology of a covariantized version is studied in [146].”