Abstract
We obtain well behaved interior solutions describing hydrostatic equilibrium of anisotropic relativistic stars in scale-dependent gravity, where Newton’s constant is allowed to vary with the radial coordinate throughout the star. Assuming (1) a linear equation-of-state in the MIT bag model for quark matter, and (2) a certain profile for the energy density, we integrate numerically the generalized structure equations, and we compute the basic properties of the strange quark stars, such as mass, radius and compactness. Finally, we demonstrate that stability criteria as well as the energy conditions are fulfilled. Our results show that a decreasing Newton’s constant throughout the objects leads to slightly more massive and more compact stars.
Highlights
Einstein’s theory of General Relativity (GR) [1] is a relativistic theory of gravitation, which is beautiful and very successful [2,3]
As far as black hole physics is concerned, the impact of the scale dependent (SD) scenario on properties of black holes, such as thermodynamics or quasinormal spectra, has been studied over the last years, and it has been found that SD modifies the horizon, thermodynamic properties and the quasinormal frequencies of classical black hole backgrounds [15,16,17,18,19,20,21]
It would be interesting to investigate the impact of the SD scenario on properties of relativistic stars
Summary
Einstein’s theory of General Relativity (GR) [1] is a relativistic theory of gravitation, which is beautiful and very successful [2,3]. Since compact objects are characterized by ultra dense matter and strong gravitational fields, a fully relativistic treatment is required. It would be interesting to investigate the impact of the SD scenario on properties of relativistic stars. In the present work we propose to obtain for the first time interior solutions of relativistic stars with anisotropic matter in the SD scenario, extending a previous work of ours where we studied isotropic compact objects [22]. Here we shall focus on strange quark stars, which comprise a less conventional class of compact stars. As of today they remain hypothetical astronomical objects, strange quarks stars cannot conclusively be ruled out yet. This study is relevant for the possible implications to understand the nature of compact stars.
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