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Nontrivial static, spherically symmetric vacuum solution in a nonconservative theory of gravity

A. M. OliveiraInstituto Federal do Espírito Santo (IFES), Guarapari 29212-090, BrazilHermano VeltenUniversidade Federal do Espírito Santo (UFES), Vitória 29075-910, BrazilJ. C. FabrisUniversidade Federal do Espírito Santo (UFES), Vitória 29075-910, Brazil
2016en
ABI

Аннотация

We analyze the vacuum static spherically symmetric spacetime for a specific class of nonconservative theories of gravity based on Rastall's theory. We obtain a new vacuum solution which has the same structure as the Schwarzschild--de Sitter solution in the general relativity theory obtained with a cosmological constant playing the role of source. We further discuss the structure (in particular, the coupling to matter fields) and some cosmological aspects of the underline nonconservative theory.

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