Name: Edison Cesar de Oliveira Santos
Type: MSc dissertation
Publication date: 05/09/2016
Advisor:

Namesort descending Role
Júlio César Fabris Advisor *

Examining board:

Namesort descending Role
Davi Cabral Rodrigues Internal Examiner *
Júlio César Fabris Advisor *
Júnior Diniz Toniato External Examiner *
Marc Casals Casanellas External Examiner *
Oliver Fabio Piattella Internal Examiner *

Summary: The non-conservative Rastall’s theory of gravity has shown interesting results in cosmological scales when compared to the ΛCDM model. Furthermore, in vacuum, the only non-trivial static and spherically symmetric solution is the Schwarzschild one, except in a very specific case. This work presents new solutions for a canonical nonmassive
scalar field coupled to the gravity sector in terms of Rastall’s parameter a, WHERE a = 1 returns to general relativity. It was shown that for a = −1 and a = 0 the same solutions as in the k-essence theory were retrieved, yet, the scalar field function behaves differently. For a = 3/2, implying R = 0, a potential independent solution was obtained. Regular solutions for the potential V(ϕ) recovered exactly the same result replicated in general relativity coupled with scalar fields, however it’s intrinsically dependent on the constant a. Furthermore, it was noted that every solution for a traceless energy-momentum tensor in general relativity can be re-interpreted as a solution to Rastall’s theory.

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