Visser's Massive Gravity Bimetric Theory Revisited

Abstract

A massive gravity theory was proposed by Visser in the late nineties. This theory, based on a backgroung metric $b_{\alpha \beta }$ and on an usual dynamical metric $g_{\alpha \beta }$ has the advantage of being free of ghosts as well as discontinuities present in other massive theories proposed in the past. In the present investigation, the equations of Visser's theory are revisited with a particular care on the related conservation laws.\ It will be shown that a multiplicative factor is missing in the graviton tensor originally derived by Visser, which has no incidence on the weak field approach but becomes important in the strong field regime when, for instance, cosmological applications are considered. In this case, contrary to some previous claims found in the literature, we conclude that a non-static background metric is required in order to obtain a solution able to mimic the $\Lambda$CDM cosmology.

10 pages - Accepted for publication in Physical Review D

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Cited by in corpus (4)

• Massive gravity from bimetric gravity
• Note About Hamiltonian Formalism for General Non-Linear Massive Gravity Action in Stuckelberg Formalism
• Cosmological constant constraints from observation-derived energy condition bounds and their application to bimetric massive gravity
• Revisiting the two-body problem in Yukawa gravity and in a gravitational extension of the Buckingham potential