Spherically symmetric steady states of galactic dynamics in scalar gravity

TL;DR

This paper explores spherically symmetric steady states in galactic dynamics using a relativistic scalar gravity model, providing a mathematical framework to study gravitational effects on stellar motion beyond Einstein's theory.

Contribution

It derives the equations for a scalar gravity model and proves the existence of finite-radius spherically symmetric equilibrium states.

Findings

Derived equations for the scalar gravity model.

Proved existence of finite-radius equilibria.

Provides a mathematical basis for studying gravitational effects in galactic dynamics.

Abstract

The kinetic motion of the stars of a galaxy is considered within the framework of a relativistic scalar theory of gravitation. This model, even though unphysical, may represent a good laboratory where to study in a rigorous, mathematical way those problems, like the influence of the gravitational radiation on the dynamics, which are still beyond our present understanding of the physical model represented by the Einstein--Vlasov system. The present paper is devoted to derive the equations of the model and to prove the existence of spherically symmetric equilibria with finite radius.