Anisotropic Dark Energy Stars within Vanishing Complexity Factor Formalism: Hydrostatic Equilibrium, Radial Oscillations, and Observational Implications

TL;DR

This paper explores the structure and oscillations of anisotropic dark energy stars using a novel vanishing complexity factor approach, revealing how anisotropy influences their physical properties and potential observational signatures.

Contribution

It introduces a new formalism linking energy density and anisotropy, and applies it to model dark energy stars with an Extended Chaplygin Gas equation of state.

Findings

Distinct differences in metric potentials, pressure, and sound speed between isotropic and anisotropic stars.

Calculation of oscillation frequencies and large frequency separation relevant for asteroseismology.

Insights into the role of anisotropy and dark energy in stellar structure and dynamics.

Abstract

We investigate the structure and radial oscillations of anisotropic compact stars composed of dark energy, using the vanishing complexity factor formalism within general relativity. This novel approach establishes a direct link between the energy density and anisotropic factor, providing a robust framework for studying these exotic stellar objects. Employing an Extended Chaplygin Gas equation of state, we numerically compute interior solutions for both isotropic and anisotropic stars, revealing distinct differences in their properties. Additionally, we examine the oscillation modes and frequencies of these stars, highlighting the impact of anisotropy on their pulsational behavior. Our results reveal distinct differences in the stellar properties, such as the metric potentials, pressure, speed of sound, and relativistic adiabatic index, between the two cases. Furthermore, we calculate the large frequency separation for the fundamental and first excited modes, offering insights relevant for future asteroseismology studies. Our findings shed light on the complex interplay of gravity, matter, and anisotropy in compact stars, providing a new perspective on dark energy's role in their structure and dynamics.