A complete set of integrals and solutions to the Szekeres system

作者：Gierzkiewicz Anna^*; Golda Zdzislaw A^*

来源：Physics Letters A, 2018, 382(32): 2085-2091.

DOI：10.1016/j.physleta.2018.05.038

• Szekeres system
• First integral
• Exact solution
• Darboux polynomial
• Jacobi multiplier

The Szekeres system is an ODE system arising from the Szekeres cosmological model. The paper presents the way to solve it using its four global independent first integrals. It also contains the complete set of its solutions in the particular cases, related to the set where the integrals are indefinite.

• 出版日期2018-8-17