Recent developments in bimetric theory
By A. Schmidt-May, M. Strauss. 2015
216 citations recorded by the source corpus.
This review is dedicated to recent progress in the field of classical, interacting, massive spin-2 theories, with a focus on ghost-free bimetric theory. We will outline its history and its development as a nontrivial extension and generalisation of nonlinear massive gravity. We present a detailed discussion of the consistency proofs of both theories, before we review Einstein solutions to the bimetric equations of motion in vacuum as well as the resulting mass spectrum. We introduce couplings to matter and then discuss the general relativity and massive gravity limits of bimetric theory, which correspond to decoupling the massive or the massless spin-2 field from the matter sector, respectively. More general classical solutions are reviewed and the present status of bimetric cosmology is summarised. An interesting corner in the bimetric parameter space which could potentially give rise to a nonlinear theory for partially massless spin-2 fields is also discussed. Relations to higher-curvature theories of gravity are explained and finally we give an overview of possible extensions of the theory and review its formulation in terms of vielbeins.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/023823cf4c635ba0e2722beac332e794bdbe7d31
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Citations in the corpus
- Nonlocal gravity. Conceptual aspects and cosmological predictions (2017, background): “nd in a branch where the background evolution reduces to that of CDM (and in which, however, the presence of a low strong-coupling scale even forbids to make reliable predictions); see [104{107], and [108] for review. Beside being stable, we have seen that, up to the present cosmological epoch, the ”
- Testing modified gravity at cosmological distances with LISA standard sirens (2019, unknown): “A consistent theory of bigravity, free of Ostrogradsky instabilities at the fully nonlinear level, has been proposed by Hassan and Rosen (HR) [134], adding an Einstein-Hilbert term for the reference metric of the so-called dRGT theory of massive gravity [135] (see [136–138] for reviews).”
- Heavy spin-2 Dark Matter (2016, background): “For further details and a recent review on the subject we refer to [16].”