Scalar-Tensor-Vector Gravity Theory

TL;DR

This paper develops a covariant scalar-tensor-vector gravity theory where fundamental constants vary, providing a modified gravity law that explains galaxy rotation curves and cluster data without dark matter, while remaining consistent with solar system tests.

Contribution

It introduces a new covariant gravity framework with variable constants, offering an alternative to dark matter in explaining astrophysical phenomena.

Findings

Fits galaxy rotation curves without dark matter

Consistent with solar system tests

Implications for cosmic microwave background observations

Abstract

A covariant scalar-tensor-vector gravity theory is developed which allows the gravitational constant $G$, a vector field coupling $\omega$ and the vector field mass $\mu$ to vary with space and time. The equations of motion for a test particle lead to a modified gravitational acceleration law that can fit galaxy rotation curves and cluster data without non-baryonic dark matter. The theory is consistent with solar system observational tests. The linear evolutions of the metric, vector field and scalar field perturbations and their consequences for the observations of the cosmic microwave background are investigated.