The spacetime structure of MOND with Tully-Fisher relation and Lorentz invariance violation

TL;DR

This paper develops a covariant geometrical formulation of MOND that incorporates the Tully-Fisher relation and exhibits Lorentz invariance violation, offering a potential alternative to dark matter models.

Contribution

It introduces a new covariant version of MOND within a geometrical framework, emphasizing spacetime structure and Lorentz invariance violation.

Findings

Demonstrates the spacetime structure of MOND with Tully-Fisher relation

Shows Lorentz invariance violation in the covariant formulation

Provides an alternative covariant formalism for MOND

Abstract

It is believed that the modification of Newtonian dynamics (MOND) is possible alternate for dark matter hypothesis. Although Bekenstein's TeVeS supplies a relativistic version of MOND, one may still wish a more concise covariant formulism of MOND. In this paper, within covariant geometrical framwork, we present another version of MOND. We show the spacetime structure of MOND with properties of Tully-Fisher relation and Lorentz invariance violation.