Anisotropic dark energy stars within vanishing complexity factor formalism: Hydrostatic equilibrium, radial oscillations, and observational implications

• Published in: Physics letters. B Vol. 856; p. 138901
• Main Authors: Panotopoulos, Grigoris, Rincón, Ángel, Lopes, Ilídio
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.09.2024
• Subjects: Anisotropic stars; Complexity factor; Pulsating stars; Relativistic stars; Complexity factor; Anisotropic stars; Relativistic stars; Pulsating stars
• ISSN: 0370-2693
• DOI: 10.1016/j.physletb.2024.138901

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 behaviour. 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.