Non-singular T–K axion stars with/without the dynamical bosonic field in the presence of negative Λ term

Abstract

In the present work authors derive exact solutions for the relativistic compact stars in the presence of two fields axion (Dante’s Inferno model) and with/without the complex scalar field (with the quartic self-interaction) coupled to gravity. The matter source is assumed as the perfect fluid one, and we also use barotropic/MIT bag EoS to derive energy density and anisotropic/isotropic pressures from Einstein Field Equations (EFE’s). For simplicity, as the metric potentials we use Tolman–Kuchowicz metric potentials, which are non-singular and physically acceptable. Unknown variables for the T–K metric potentials were derived from the junction conditions. To examine the redshift function, adiabatic index and energy, causality conditions we used such compact stars as PSR J1416-223, PSR J1903+32, 4U 1820-30, Cen X-3, EXO 1785-248, SAX J1808.4365.