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Non-Spherically Symmetric Models of Compact Objects with the Salpeter Equation of State
This research explores the gravitational behavior of compact astronomical bodies, such as white dwarfs and neutron stars, under the framework of Einstein's general relativity. A simplified mathematical model incorporating the quadrupole moment to a first-order approximation is applied to investigate deviations from spherical symmetry. The study focuses on interior solutions for white dwarfs, employing the Salpeter equation of state (EoS) to analyze equilibrium between gravitational pull and internal pressure. Comparative analysis is performed between the Chandrasekhar and Salpeter EoS, providing insights into the influence of quadrupole deformations on structural properties.
Numerical solutions reveal significant differences in pressure and mass distributions for the selected EoS models, offering a deeper understanding of the interior dynamics of compact objects. The results contribute to the broader study of astrophysical phenomena under extreme conditions, enabling refinements in modeling techniques and future applications to non-spherically symmetric configurations.
Keywords: white dwarfs, neutron stars, quadrupole moment, equations of state, Einstein's field equations.
References:
1. Abishev, M., Beissen, N., Belissarova, F., Boshkayev, K., Mansurova, A., Muratkhan, A., Quevedo, H., & Toktarbay, S. (2021). Approximate perfect fluid solutions with quadrupole moment. International Journal of Modern Physics D, 30(13), 2150096.
2. Salpeter, E. E. (1961). Energy and Pressure of a Zero-Temperature Plasma. Astrophysical Journal, 134, 669.