Stratified scalar field theories of gravitation with self-energy term and effective particle Lagrangian

TL;DR

This paper develops a general stratified scalar gravitational theory incorporating self-energy and particle dynamics, analyzes specific models, and evaluates their predictions for solar system post-Newtonian effects.

Contribution

It introduces a unified framework for stratified scalar gravitation theories with self-interaction and derives their post-Newtonian parameters.

Findings

The framework successfully models self-energy effects in scalar gravitation.

Specific theories are tested against solar system post-Newtonian observations.

Predictions vary among models, providing insights into viable scalar gravity theories.

Abstract

We construct a general stratified scalar theory of gravitation from a field equation that accounts for the self-interaction of the field and a particle Lagrangian, and calculate its post-Newtonian parameters. Using this general framework, we analyze several specific scalar theories of gravitation and check their predictions for the solar system post-Newtonian effects.