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Electrically charged strange quark stars with anisotropic matter: exact analytical solution

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Abstract

We obtain a new exact analytical solution to the Einstein–Maxwell field equations with anisotropic matter. The solution describes the interior of anisotropic, electrically charged strange quark stars with a non-linear equation-of-state. We show the behavior of the solution graphically, and we determine the properties of the star (radius, mass, electric charge and compactness) for specific numerical values of the parameters involved. Finally, we check that causality is not violated, and that the energy conditions, the upper bound on the compactness of the stars, and constraints on the mass of the objects coming from observed massive pulsars and direct detection of gravitational waves are all fulfilled.

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Notes

  1. Notice that eq. (20) of [43] is not compatible with eq. (17) of the same article. It is precisely the latter that leads to the correct equation for \(m'(r)\), and not the former, which would imply \(m'(r)=4 \pi \rho r^2 + q^2/(2r^2)\).

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Acknowledgements

We are grateful to the anonymous reviewers for useful comments and suggestions. The authors thank the Fundação para a Ciência e Tecnologia (FCT), Portugal, for the financial support to the Center for Astrophysics and Gravitation-CENTRA, Instituto Superior Técnico, Universidade de Lisboa, through the Project No. UIDB/00099/2020.

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  1. Centro de Astrofísica e Gravitação-CENTRA, Departamento de Física, Instituto Superior Técnico-IST, Universidade de Lisboa-UL, Avenida Rovisco Pais 1, 1049-001, Lisbon, Portugal

    Grigoris Panotopoulos & Ilídio Lopes

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  1. Grigoris Panotopoulos
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Correspondence to Grigoris Panotopoulos.

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Panotopoulos, G., Lopes, I. Electrically charged strange quark stars with anisotropic matter: exact analytical solution. Gen Relativ Gravit 52, 47 (2020). https://doi.org/10.1007/s10714-020-02701-2

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