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

Tiago de Oliveira  Rosa; Rocco Pascale  Neto; Maria Emilia Xavier  Guimarães; Joaquim Lopes  Neto

doi:10.4236/jhepgc.2019.54057

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

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

Cite this paper: Rosa, T. , Guimarães, M. , Neto, R. and Neto, J. (2019) On the Jebsen-Birkhoff Theorem in a Born-Infeld Type Theory of Gravity. Journal of High Energy Physics, Gravitation and Cosmology, 5, 1051-1056. doi: 10.4236/jhepgc.2019.54057.

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