Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 41 No. 2 (2023): Revista Integración, temas de matemáticas
Research and Innovation Articles

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

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Y. Acevedo
Universidad EAFIT
O. M. L. Duque
UNICAMP
Danilo A. García Hernández
UNICAMP
G. Loaiza
Universidad EAFIT
DOI: https://doi.org/10.18273/revint.v41n2-2023002

Published 2023-09-30

Keywords

  • Optimal algebra,
  • Invariant solutions,
  • Lie algebra classification,
  • Lie symmetry group,
  • Ibragimov's method,
  • Noether's theorem,
  • Conservation laws,
  • Variational symmetries
    • ...More
    Less

How to Cite

Acevedo Agudelo, Y. A., Londoño Duque, O. M., García Hernández, D. A., & Loaiza Ossa, G. I. (2023). About Lie algebra classification, conservation laws, and invariant solutions for the relativistic fluid sphere equation. Revista Integración, Temas De matemáticas, 41(2), 83–101. https://doi.org/10.18273/revint.v41n2-2023002

Copyright (c) 2023 Revista Integración, temas de matemáticas

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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.

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