On the Jebsen-Birkhoff Theorem in a Born-Infeld Type Theory of Gravity

Tiago de Oliveira Rosa¹, Maria Emilia Xavier Guimarães², Rocco Pascale Neto², Joaquim Lopes Neto³

¹Instituto Federal Goiano, Campus Urutaí, Rodovia Geraldo Silva Nascimento, Urutaí, Brazil.
²Instituto de Física, Universidade Federal Fluminense, Niterói, Brazil.
³Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil.

DOI: 10.4236/jhepgc.2019.54057                

Abstract

In this paper we work with a special theory of gravity|the Novello-Di Lorenci-Luciane (hereby called NDL theory) which extends the Feynman-Deser standard theoretical-field approach to General Relativity. In the so-called NDL theory, matter interacts universally with gravity in accordance with the Weak Equivalence Principle, while gravitons have a nonlinear self-interaction. Our main aim in this work is to show that, though the NDL theory does not admit a Schwarzschild solution, the Jebsen-Birkhoff theorem is still valid in this framework.

Keywords

Electrostatic Trapping, Bootstrap Current, Mitigation, Peeling-Ballooning Mode

Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

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