Generalizing TeVeS Cosmology

TL;DR

This paper extends TeVeS cosmology by incorporating a more general vector field action, deriving the cosmological equations at various perturbation levels, and analytically solving background equations during the radiation era to model primordial perturbations.

Contribution

It introduces a generalized Einstein-Ether form for the vector field in TeVeS and derives comprehensive cosmological equations, including solutions during the radiation era.

Findings

Analytical solutions for background equations in the radiation era

Construction of primordial adiabatic perturbations for various scalar field functions

Extension of TeVeS cosmology to a more general vector field action

Abstract

I consider an extented version of Bekenstein's Tensor-Vector-Scalar theory where the action of the vector field is of a general Einstein-Ether form. This work presents the cosmological equations of this theory, both at the background and perturbed level, for scalar, vector and tensor perturbation modes. By solving the background equations in the radiation era analytically, to an excellent approximation, I construct the primordial adiabatic perturbation for a general family of scalar field kinetic functions.