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gr-qc2022★ 12 cited
Lie symmetry approach to the time-dependent Karmarkar condition
Andronikos Paliathanasis, Robert S. Bogadi, Megandhren Govender
We obtain solutions of the time-dependent Einstein Field Equations which satisfy the Karmarkar condition via the method of Lie symmetries. Spherically symmetric spacetime metrics a…
gr-qc2022★ 7 cited
Lie Symmetries, Painlevé analysis and global dynamics for the temporal equation of radiating stars
Genly Leon, Megandhren Govender, Andronikos Paliathanasis
We study the temporal equation of radiating stars by using three powerful methods for the analysis of nonlinear differential equations. Specifically, we investigate the global dyna…