Eur. Phys. J. Plus (2019) 134: 472
https://doi.org/10.1140/epjp/i2019-12853-1

Regular Article

Relativistic strange quark stars in Lovelock gravity

¹ Centro de Astrofísica e Gravitação, Departamento de Física, Instituto Superior Técnico-IST, Universidade de Lisboa-UL, Av. Rovisco Pais, 1049-001, Lisboa, Portugal
² Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Casilla 4059, Valparaí, Chile

^* e-mail: grigorios.panotopoulos@tecnico.ulisboa.pt

Received: 9 June 2019
Accepted: 27 June 2019
Published online: 27 September 2019

Abstract

We study relativistic non-rotating stars in the framework of Lovelock gravity. In particular, we consider the Gauss-Bonnet term in a five-dimensional spacetime, and we investigate the impact of the Gauss-Bonnet parameter on properties of the stars, both isotropic and anisotropic. For matter inside the star, we assume a relativistic gas of de-confined massless quarks. We integrate the modified Tolman-Oppenheimer-Volkoff equations numerically, and we obtain the mass-to-radius profile, the compactness of the star as well as the gravitational red-shift for several values of the Gauss-Bonnet parameter. The maximum star mass and radius are also reported.