Regular Article - Theoretical Physics

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

¹ Centro de Astrofísica e Gravitação-CENTRA, Departamento de Física, Instituto Superior Técnico-IST, Universidade de Lisboa-UL, Av. Rovisco Pais 1, 1049-001, Lisbon, Portugal
² Present address: Department of Physics, Stanford Institute of Theoretical Physics-SITP, Stanford University, Stanford, CA, 94305, USA

^* e-mail: braganca@stanford.edu

Received: 25 April 2018
Accepted: 19 June 2018
Published online: 29 June 2018

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.