The Vector-Tensor nature of Bekenstein's relativistic theory of Modified Gravity
ArXiv gr-qc/0606039 (2006)
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.The Vector-Tensor nature of Bekenstein's relativistic theory of Modified Gravity
(2006)
Large scale structure in Bekenstein's theory of relativistic modified Newtonian dynamics.
Phys Rev Lett 96:1 (2006) 011301
Abstract:
A relativistic theory of modified gravity has been recently proposed by Bekenstein. The tensor field in Einstein's theory of gravity is replaced by a scalar, a vector, and a tensor field which interact in such a way to give modified Newtonian dynamics (MOND) in the weak-field nonrelativistic limit. We study the evolution of the Universe in such a theory, identifying its key properties and comparing it with the standard cosmology obtained in Einstein gravity. The evolution of the scalar field is akin to that of tracker quintessence fields. We expand the theory to linear order to find the evolution of perturbations on large scales. The impact on galaxy distributions and the cosmic microwave background is calculated in detail. We show that it may be possible to reproduce observations of the cosmic microwave background and galaxy distributions with Bekenstein's theory of MOND.Establishing Fraud Detection Patterns Based on Signatures
Chapter in Advances in Data Mining. Applications in Medicine, Web Mining, Marketing, Image and Signal Mining, Springer Nature 4065 (2006) 526-538
Large Scale Structure in Bekenstein's Theory of Relativistic Modified Newtonian Dynamics
Physical Review Letters 96 (2006) 011301 4pp