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Stable regions of anisotropic stellar structures via cracking and overturning.

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Title: Stable regions of anisotropic stellar structures via cracking and overturning.
Authors: Malik, Adnan1,2,3 (AUTHOR) adnan.malik@skt.umt.edu.pk, Shafaq, Attiya2 (AUTHOR) attiyashafaq10@gmail.com, Shamir, M. Farasat4 (AUTHOR) farasat.shamir@nu.edu.pk, Mofarreh, Fatemah5 (AUTHOR) fyalmofarrah@pnu.edu.sa, Almas, Ayesha6 (AUTHOR) ayesha787@icloud.com
Source: International Journal of Geometric Methods in Modern Physics. Feb2026, Vol. 23 Issue 2, p1-29. 29p.
Subjects: Stellar structure, Mass density gradients, Variable stars, Fracture mechanics
Abstract: This study aims to elucidate the effects of density variations on the stability of spherically symmetric anisotropic stellar objects by examining the cracking phenomenon within the framework of Rastall gravity. The analysis focuses on anisotropic matter distributions described by the barotropic equation of state. Initially, the field equations and the Tolman–Oppenheimer–Volkoff (TOV) equation were formulated, and the Krori–Barua approach was employed. Subsequently, the equilibrium state of the stellar configuration was perturbed by introducing local density fluctuations. To validate the proposed methodology, the study analyzed various stars, including Cen X-3, Vela X-1, Her X-1, PSR J1614-2230, SAX J1808.4-3658, RXJ1856-37, and 4U 1820-30. The results demonstrate the presence of either the cracking or overturning phenomenon in all the analyzed stars. This investigation underscores the importance of incorporating the cracking method for a comprehensive stability analysis of stellar objects. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:This study aims to elucidate the effects of density variations on the stability of spherically symmetric anisotropic stellar objects by examining the cracking phenomenon within the framework of Rastall gravity. The analysis focuses on anisotropic matter distributions described by the barotropic equation of state. Initially, the field equations and the Tolman–Oppenheimer–Volkoff (TOV) equation were formulated, and the Krori–Barua approach was employed. Subsequently, the equilibrium state of the stellar configuration was perturbed by introducing local density fluctuations. To validate the proposed methodology, the study analyzed various stars, including Cen X-3, Vela X-1, Her X-1, PSR J1614-2230, SAX J1808.4-3658, RXJ1856-37, and 4U 1820-30. The results demonstrate the presence of either the cracking or overturning phenomenon in all the analyzed stars. This investigation underscores the importance of incorporating the cracking method for a comprehensive stability analysis of stellar objects. [ABSTRACT FROM AUTHOR]
ISSN:02198878
DOI:10.1142/S0219887825501488