GravitoMagnetic Field in Tensor-Vector-Scalar Theory

TL;DR

This paper investigates the gravitomagnetic field in TeVeS theory, deriving relations between coupling constants by comparing theoretical predictions with observational data from black hole imaging.

Contribution

It provides the first detailed calculation of gravitomagnetism in TeVeS and links the coupling constants to observational constraints from black hole images.

Findings

Derived relations between TeVeS coupling constants.

Matched TeVeS predictions with Einstein-Hilbert theory.

Identified coupling constants using Event Horizon Telescope data.

Abstract

We study the gravitomagnetism in the TeVeS theory. We compute the gravitomagnetic field that a slow-moving mass distribution produces in its Newtonian regime. We report that the consistency between the TeVeS gravitomagnetic field and that predicted by the Einstein-Hilbert theory leads to a relation between the vector and scalar coupling constants of the theory. We observe that requiring consistency between the near horizon geometry of a black hole in TeVeS and the image of the black hole taken Event Horizon Telescope leads to another relation between the coupling constants of the TeVeS theory and enable us to identify the coupling constants of the theory.