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The Vector-Tensor nature of Bekenstein's relativistic theory of Modified Gravity

T. G. Zlosnik·P. G. Ferreira·Glenn D. Starkman
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Abstract

Bekenstein's theory of relativistic gravity is conventionally written as a bi-metric theory. The two metrics are related by a disformal transformation defined by a dynamical vector field and a scalar field. In this comment we show that the theory can be re-written as Vector-Tensor theory akin to Einstein-Aether theories with non-canonical kinetic terms. We discuss some of the implications of this equivalence.

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T. G. Zlosnik, P. G. Ferreira, Glenn D. Starkman. 2014-02-16. The Vector-Tensor nature of Bekenstein's relativistic theory of Modified Gravity. https://doi.org/10.1103/physrevd.74.044037

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