Field equation of thermodynamic gravity and galactic rotational curves

TL;DR

This paper models the rotational velocity curve of galaxy NGC 3198 using Thermodynamic Gravity, comparing its predictions to Dark Matter and Modified Newtonian Dynamics frameworks, and introduces a numerical method for solving the nonlinear gravitational field equation.

Contribution

It develops and verifies a dissipation-inspired numerical method to solve TG field equations and compares the resulting velocity curves with existing models for galaxy rotation.

Findings

Optimal velocity curve aligns with observational data.

TG model provides an alternative explanation to DM and MOND.

Numerical method effectively solves nonlinear gravitational equations.

Abstract

The rotational velocity curve (RC) of galaxy NGC 3198 is modelled in various theoretical frameworks: Thermodynamic Gravity (TG) is compared to Dark Matter (DM) and Modified Newtonian Dynamics (MOND). The nonlinear gravitational field equation of TG is solved using the baryonic mass density as the source of the gravitational field. In this paper, first, a dissipation motivated numerical method is verified with the help of exact solutions. Then, the obtained optimal velocity curve is compared to DC14 model DM and MOND EFE (Modified Newtonian Dynamics - External Field Effect aspect) parametrisations for the RC of the galaxy.