Eur. Phys. J. C (2020) 80: 318
https://doi.org/10.1140/epjc/s10052-020-7900-3

Regular Article - Theoretical Physics

Interior solutions of relativistic stars in the scale-dependent scenario

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, 4059, Valparaíso, Casilla, Chile

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

Received: 14 February 2020
Accepted: 2 April 2020
Published online: 13 April 2020

Abstract

We study relativistic stars in the scale-dependent scenario, which is one of the approaches to quantum gravity, and where Newton’s constant is promoted to a scale-dependent quantity. First, the generalized structure equations are derived here for the first time. Then they are integrated numerically assuming a linear equation-of-state in the simplest MIT bag model for quark matter. We compute the radius, the mass and the compactness of strange quarks stars, and we show that the energy conditions are fulfilled.