Non-singular T-K axion stars with/without the dynamical bosonic field in the presence of negative $\Lambda$ term

TL;DR

This paper derives exact solutions for non-singular relativistic axion stars with or without a complex scalar field, using Tolman-Kuchowicz metrics and analyzing their physical properties in the presence of a negative cosmological constant.

Contribution

It introduces new exact solutions for relativistic axion stars with non-singular metrics, considering additional scalar fields and a negative cosmological constant, and applies them to observed compact stars.

Findings

Derived physically acceptable non-singular solutions for axion stars.

Analyzed stability and physical conditions of the solutions.

Compared theoretical models with observed compact star data.

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.