Screened and unscreened solutions for relativistic star in de Rham-Gabadadze-Tolley massive gravity

We study the static and spherical symmetric configurations in the nonminimal model of the de Rham-Gabadadze-Tolley (dRGT) massive gravity with a flat reference metric. Considering the modified Tolman-Oppenheimer-Volkof equation, the Bianchi identity, and energy-momentum conservation, we find a new a...

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Bibliographic Details
Published in:Physical review. D 2019-10, Vol.100 (8), Article 084060
Main Authors: Yamazaki, Masashi, Katsuragawa, Taishi, Odintsov, Sergei D., Nojiri, Shin’ichi
Format: Article
Language:English
Subjects:
Boundary conditions
Energy conservation
Gravitation
Relativism
Relativistic effects
Relativity
Spacetime
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Summary:We study the static and spherical symmetric configurations in the nonminimal model of the de Rham-Gabadadze-Tolley (dRGT) massive gravity with a flat reference metric. Considering the modified Tolman-Oppenheimer-Volkof equation, the Bianchi identity, and energy-momentum conservation, we find a new algebraic equation for the radial coordinate of the reference metric. We demonstrate that this equation suggests an absence of the Vainshtein mechanism in the minimal model of the dRGT massive gravity, while it has two branches of solutions where one connects with the Schwarzschild spacetime and another implies the significant deviation from the asymptotically flat spacetime in the nonminimal model. We also briefly discuss the boundary conditions for the relativistic stars in the dRGT massive gravity and a potential relation with the mass-radius relation of the stars.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.100.084060