Considerations for a cosmological extension of modified Newtonian dynamics connections to conformal gravity and Rindler force theories

TL;DR

This paper explores cosmological extensions of MOND by examining its connections to conformal gravity and Rindler force theories, providing constraints and analyzing their potential as alternative gravity models without auxiliary fields.

Contribution

It introduces constraints on cosmological extensions of MOND and investigates its links to conformal gravity and Rindler force theories as potential alternatives.

Findings

Constraints on cosmological MOND extensions without auxiliary fields

Connections established between MOND, conformal gravity, and Rindler force theories

Assessment of these theories as possible cosmological models

Abstract

Modified Newtonian dynamics (MOND) can be obtained by modifying the entropic formulation of gravity, this is achieved by considering the quantum statistical nature of the degrees of freedom on the holographic screen. Through this frame work, we find some constraints on a cosmological extension for MOND, with no additional auxiliary fields. The connections between MOND to conformal gravity and Rindler force gravity are examined. These two alternative gravity theories are subsequently considered as possible cosmological extensions of MOND.