Role of dark energy on maximum mass, stability, and structure: Theoretical insights into relativistic compact stars


Errehymy A. Maurya S.K. Syzdykova A. Myrzakulov K. Muminov S. Rayimbaev J.
2025World Scientific

International Journal of Geometric Methods in Modern Physics
2025

In this work, we explore a novel class of exact solution that shed light on the properties of compact stars formed from dark energy (DE), framed within the framework of general relativity. Our study investigates the structural and stability characteristics of DE compact stars, focusing on the effects of the DE parameter α and the dark anisotropy parameter σ. Our analysis reveals that the metric potentials X2(r) and Y2(r) are free from singularities and remain positive throughout the stellar configuration. Importantly, X2(r) is sensitive to variations in α and σ, indicating significant modifications to spacetime geometry due to DE. We find that increasing α and σ leads to a reduction in density while enhancing pressure, thereby impacting the star’s internal equilibrium. Although the energy conditions are generally satisfied, DE tends to weaken some of these conditions, particularly near the surface. Stability analysis using the modified Tolman–Oppenheimer–Volkoff (TOV) equation confirms that hydrostatic pressure effectively balances gravitational and DE forces. Additionally, our investigation into the mass–radius relation highlights the influence of DE on the upper mass limit of neutron stars (NSs). The mass–radius relationship demonstrates that mass increases with radius up to a peak before sharply declining. The maximum mass values obtained range from 1.52M to 2.15M, with radii between 9.49 km and 12.02 km, consistent with observed stellar data. As the DE parameter α increases, both the maximum mass and the predicted radius for a given mass decrease, indicating that DE weakens gravitational binding, resulting in less massive and less dense stellar configurations. This challenges traditional mass limits predicted by general relativity and suggests that DE plays a crucial role in shaping the stability and structure of compact stars.

compact stars , Dark energy , exact solution , general relativity

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Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, P.O. Box 33, Nizwa, 616, Oman
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan
Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Mamun University, Bolkhovuz Street 2, Khiva, 220900, Uzbekistan
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent, 100000, Uzbekistan
University of Tashkent for Applied Sciences, Str. Gavhar 1, Tashkent, 100149, Uzbekistan
National University of Uzbekistan, Tashkent, 100174, Uzbekistan
Tashkent State Technical University, Tashkent, 100095, Uzbekistan
Urgench State University, Kh. Alimjan Str. 14, Urgench, 221100, Uzbekistan

Astrophysics Research Centre
Department of Mathematical and Physical Sciences
Research Center of Astrophysics and Cosmology
Department of General and Theoretical Physics
Mamun University
Institute of Fundamental and Applied Research
University of Tashkent for Applied Sciences
National University of Uzbekistan
Tashkent State Technical University
Urgench State University

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