More about scalar gravity

TL;DR

This paper explores scalar field models of gravity, generalizing Nordström's approach, and characterizes Schwarzschild geometry within these models, including cosmological and post-Newtonian aspects.

Contribution

It introduces a comprehensive class of scalar gravity models, including a recent cosmological model (GSG), and characterizes Schwarzschild solutions within this framework.

Findings

Schwarzschild geometry as a vacuum solution in GSG

Complete characterization of GSG models

Discussion of Post-Newtonian approximation in scalar gravity

Abstract

We discuss a class of models for gravity based on a scalar field. The models include and generalize the old approach by Nordstr\"om which predated and in some way inspired General Relativity. The class include also a model that we have recently introduced and discussed in its cosmological aspects (GSG). We present here a complete characterisation of the Schwarschild geometry as a vacuum solution of GSG and sketch a discussion of the first Post-Newtonian approximation.