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Radial oscillations and tidal Love numbers of dark energy stars

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Abstract

We investigate the properties of relativistic stars made of dark energy. We model stellar structure assuming (1) isotropic perfect fluid and (2) a dark energy inspired equation of state, the generalized equation of state of Chaplygin gas, as we will be calling it. The mass-to-radius profiles, the tidal Love numbers as well as the ten lowest radial oscillation modes are computed. Causality, stability and energy conditions are also discussed.

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Acknowledgements

We wish to thank the anonymous reviewer for useful suggestions. The authors G. P. and I. Lopes 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 Projects No. UIDB/00099/2020 and No. PTDC/FIS-AST/28920/2017. The author A. R. acknowledges DI-VRIEA for financial support through Proyecto Postdoctorado 2019 VRIEA-PUCV.

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

    Grigorios Panotopoulos & Ilídio Lopes

  2. Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Casilla 4059, Valparaíso, Chile

    Ángel Rincón

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  1. Grigorios Panotopoulos
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Correspondence to Grigorios Panotopoulos.

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Panotopoulos, G., Rincón, Á. & Lopes, I. Radial oscillations and tidal Love numbers of dark energy stars. Eur. Phys. J. Plus 135, 856 (2020). https://doi.org/10.1140/epjp/s13360-020-00867-x

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