Bimetric gravity from ghost-free massive gravity

By Sayed Fawad Hassan, Rachel A Rosen. 2011

744 citations recorded by the source corpus.

A bstractGenerically, non-linear bimetric theories of gravity suffer from the same Boulware-Deser ghost instability as non-linear theories of massive gravity. However, recently proposed theories of massive gravity have been shown to be ghost-free. These theories are formulated with respect to a flat, non-dynamical reference metric. In this work we show that it is possible to give dynamics to the reference metric in such a way that the consistency of the theory is maintained. The result is a non-linear bimetric theory of a massless spin-2 field interacting with a massive spin-2 field that is free of the Boulware-Deser ghost. To our knowledge, this is the first construction of such a ghost-free bimetric theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Oceanography

View Paper: https://www.semanticscholar.org/paper/5d867505177f1b06920630b8533241adbbe03fdd

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Citations in the corpus

Bimetric gravity is cosmologically viable (2015, background): “the canonically-normalized perturbations can be diagonalized into massless modes δGμν and massive modes δMμν as [4, 62]”
Effective field theory of dark energy: A review (2019, methodology): “In parallel, the original EFT formalism has been also extended to include those theories with second-order derivative equations of motion with a vector or tensor additional field [51, 52], such as Generalised Proca [53], generalized Einstein-Aether [54] and massive bi-gravity [55].”
Heavy spin-2 Dark Matter (2016, background): “2 The form of the interaction potential V is constrained by demanding absence of the so called Boulware-Deser ghost [9] and is given by [10, 13],”
A systematic approach to generalisations of General Relativity and their cosmological implications (2018, background): “Ghost-free bimetric gravity theories can be constructed by adding an additional kinetic term for the reference metric and hence promoting the reference metric dynamical [35].”
Does the Hubble constant tension call for new physics? (2018, background): “where Lm is the matter Lagrangian and en are elementary symmetric polynomials [69, 70].”
Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality (2012, methodology): “The action for our ghost-free, massive theory of gravity was first presented in [30].”
Theoretical Aspects of Massive Gravity (2011, background): “For instance, there are generalizations of the ghost-free higher cutoff Λ3 theory, both for arbitrary curved backgrounds [237], and for bi-gravity [238].”