Power-law solutions for TeVeS

Abstract

The dynamics of TeVeS in a homogeneous and isotropic universe is shown to be equivalent to the dynamics of an interacting two-component system, consisting of a scalar field and a "fluid", related to the matter part, with explicitly given coupling term. Scaling solutions (solutions with a constant ratio of the energy densities of both components) in the "Einstein frame" are found which are exponentially expanding or contracting with no remaining freedom for Bekenstein's $F$ function. In the "physical frame" these solutions are of the power-law type. An equivalent General Relativity (GR) picture of the dynamics suggests that it is the scalar field which plays the role of dark matter, while the "matter" has to mimic (phantom-type) dark energy.

24 pages, presentation improved, acepted for publication in Class.Quantum Grav.

References in corpus (13)

• Cosmology and the Fate of Dilatation Symmetry
• The large-scale structure of the Universe
• Field-theoretical formulations of MOND-like gravity
• The Tensor-Vector-Scalar theory and its cosmology
• Can Cosmic Structure form without Dark Matter?
• Refining MOND interpolating function and TeVeS Lagrangian
• Generalizing TeVeS Cosmology
• The cosmological behavior of Bekenstein's modified theory of gravity
• Is the evidence for dark energy secure?
• Matter Power Spectrum for the Generalized Chaplygin Gas Model: The Newtonian Approach
• Inflation and accelerated expansion TeVeS cosmological solutions
• Dark Matter, Modified Gravity and the Mass of the Neutrino
• Constraining TeVeS Gravity as Effective Dark Matter and Dark Energy