
This research paper proves that there is only one unique solution to Einstein's field equations for a static, spherically symmetric anisotropic fluid distribution with vanishing complexity, where the spacetime metric satisfies both the Karmarkar condition and is conformally flat: the Schwarzschild interior solution.


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solution-of-einstein-s-field-equations-for-a-specific-anisotropic-matter-a-uniqueness-theorem-for-vanishing-complexity-karmarkar-condition-and-conformal-flatness


Solution of Einstein's Field Equations for a Specific Anisotropic Matter: A Uniqueness Theorem for Vanishing Complexity, Karmarkar Condition, and Conformal Flatness


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This paper presents an algorithm leveraging soliton theory techniques to construct exact solutions to the Einstein field equations for a class of inhomogeneous cosmological models known as smooth Gowdy-symmetric generalized Taub-NUT (SGGTN) solutions.


constructing-smooth-gowdy-symmetric-generalized-taub-nut-solutions-from-polynomial-initial-data-using-soliton-methods


Constructing Smooth Gowdy-Symmetric Generalized Taub-NUT Solutions from Polynomial Initial Data Using Soliton Methods
