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.
Highlights
In this paper we work with a special theory of gravity—the NovelloDi Lorenci-Luciane which extends the Feynman-Deser standard theoretical-field approach to General Relativity
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
In [4], the authors propose an extension of the field-theoretical approach of General Relativity built by [8, 9]. In their seminal paper [4] the authors reanalyze the Feynman-Deser field-theoretical description and show that its compatibility to General Relativity is not unique. As it is shown in [4], one can build a theory in which matter couples universally to gravity in accordance with the Weak Equivalence Principle (WEP), being very similar to General Relativity in which concerns the matter-to-gravity interaction
Summary
In this paper we work with a special theory of gravity—the NovelloDi Lorenci-Luciane (hereby called NDL theory) which extends the Feynman-Deser standard theoretical-field 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.
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