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

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.

arXiv commentUpdated version: Notation cleaned up and some typos corrected-TGZ

References in corpus (3)

• Relativistic gravitation theory for the MOND paradigm
• Gravity with a dynamical preferred frame
• Modified Gravity via Spontaneous Symmetry Breaking

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