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Anisotropic compact stars in self-interacting Brans-Dicke gravity

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Abstract

This paper focuses on the extension of isotropic spherically symmetric solutions to anisotropic domain by means of minimal geometric deformations in the context of self-interacting Brans-Dicke theory. These deformations decouple the system of field equations into two sets, one describing the isotropic matter field and the other governed by anisotropic source. The former array is evaluated by assuming the metric potentials of isotropic solution (Durgapal-Fuloria/Krori-Barua spacetimes) while additional constraints are applied to solve the later. The junction conditions at the hypersurface of the compact object are employed to determine the unknown constants. The effect of scalar field on physical behavior and viability of all anisotropic solutions is analyzed through regularity and energy conditions. It is observed that anisotropic Krori-Barua solution is viable only for small values of the decoupling parameter whereas the extended Durgapal-Fuloria solution is viable under all constraints.

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Acknowledgement

This work has been supported by the Pakistan Academy of Sciences Project.

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Correspondence to M. Sharif.

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Sharif, M., Majid, A. Anisotropic compact stars in self-interacting Brans-Dicke gravity. Astrophys Space Sci 365, 42 (2020). https://doi.org/10.1007/s10509-020-03754-0

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  • DOI: https://doi.org/10.1007/s10509-020-03754-0

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