The Vector-Tensor nature of Bekenstein's relativistic theory of Modified Gravity
General Relativity and Quantum Cosmology
2014-02-18 v2 Astrophysics
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.
Keywords
Cite
@article{arxiv.gr-qc/0606039,
title = {The Vector-Tensor nature of Bekenstein's relativistic theory of Modified Gravity},
author = {T. G. Zlosnik and P. G. Ferreira and Glenn D. Starkman},
journal= {arXiv preprint arXiv:gr-qc/0606039},
year = {2014}
}
Comments
Updated version: Notation cleaned up and some typos corrected-TGZ