Tensor-vector-scalar cosmology: Covariant formalism for the background evolution and linear perturbation theory

2005/11/19 by Constantinos Skordis · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #astro-ph

paper · pdf · doi:10.1103/physrevd.74.103513

published as Phys.Rev.D74:103513,2006 · 33 pages, no figures, submitted to PRD

arxiv created 2005/11/19 · openalex publication_date 2006/11/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A relativistic theory of gravity has recently been proposed by Bekenstein, where gravity is mediated by a tensor, a vector, and a scalar field, thus called TeVeS. The theory aims at modifying gravity in such a way as to reproduce Milgrom's modified Newtonian dynamics (MOND) in the weak field, nonrelativistic limit, which provides a framework to solve the missing mass problem in galaxies without invoking dark matter. In this paper I apply a covariant approach to formulate the cosmological equations for this theory, for both the background and linear perturbations. I derive the necessary perturbed equations for scalar, vector, and tensor modes without adhering to a particular gauge. Special gauges are considered in the appendixes.

Citations

• A modification of the Newtonian dynamics - Implications for galaxies
• A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis
• Investigations in relativistic cosmology
• Gravity with a dynamical preferred frame
• A tensor--vector--scalar framework for modified dynamics and cosmic dark matter
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• A Modification of the Newtonian Dynamics - Implications for Galaxy Systems

Cited by

• Preferred frame parameters in the tensor-vector-scalar theory of gravity and its generalization
• Probing Gravity at Cosmological Scales by Measurements which Test the Relationship between Gravitational Lensing and Matter Overdensity
• Effects of gravitational slip on the higher-order moments of the matter distribution
• Post-Newtonian parameters in the tensor-vector-scalar theory
• Testing general relativity in cosmology
• The KBC void and Hubble tension contradict ΛCDM on a Gpc scale − Milgromian dynamics as a possible solution