Effect of rainbow function on the structural properties of color flavor locked strange stars

Abstract

In this study, we perform the significant effect of energy-dependent rainbow function on the properties of strange stars, proposed compact stars made up of strange quark matter. We assume the interior fluid of the star is in non-interacting and isotropic mode satisfying non-linear equation of state like color flavor locked state of matter. The new structure equations describe hydrostatic equilibrium state through generalizing the usual TOV equation of Einstein's gravity with involvement of rainbow function. By solving the generalized TOV equation numerically, we perform the behavior of some necessary properties of three considered CFL strange stars in the context of our solutions for physically reasonable by taking five variations of rainbow function including general relativity (GR). Motivated by GW190814 event, we justify the possible existence of compact stars with mass $>2.5M_{\odot }$ by our findings in rainbow gravity (RG). Finally, we get the possible existence of compact stellar objects made by CFL strange matter with the maximum mass that may be placed in the ‘mass-gap’ ($2.5M_{\odot }\text{–}5M_{\odot }$) region. Also, we perform some other properties like energy density, pressure, stability, etc., for our proposed stellar system in the effect of the rainbow function. In this connection, we illustrate the deviation of our obtained results in RG from GR.