About Lie algebra classification, conservation laws, and invariant solutions for the relativistic fluid sphere equation

Abstract

The optimal generating operators for the relativistic fluid sphere equation have been derived. We have characterized all invariant solutions of this equation using these operators. Furthermore, we have introduced variational symmetries and their corresponding conservation laws, employing both Noether's theorem and Ibragimov's method. Finally, we have classified the Lie algebra associated with the given equation.

Keywords

• Optimal algebra
• Invariant solutions
• Lie algebra classification
• Lie symmetry group
• Ibragimov's method
• Noether's theorem