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arXiv · 2002.12444

Regular decoupling sector and exterior solutions in the context of MGD

Ernesto Contreras·Francisco Tello-Ortiz·S. K. Maurya
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Abstract

We implement the Gravitational Decoupling through the Minimal Geometric Deformation method and explore its effect on exterior solutions by imposing a regularity condition in the Tolman--Oppenheimer--Volkoff equation of the decoupling sector. We obtain that the decoupling function can be expressed formally in terms of an integral involving the $g_{tt}$ component of the metric of the seed solution. As a particular example, we implement the method by using the Schwarzschild exterior as a seed and we obtain that the asymptotic behavior of the extended geometry corresponds to a manifold with constant curvature.

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Ernesto Contreras, Francisco Tello-Ortiz, S. K. Maurya. 2020-02-27. Regular decoupling sector and exterior solutions in the context of MGD. https://arxiv.org/abs/2002.12444

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