English

First integrals in the Brans-Dicke cosmology

General Relativity and Quantum Cosmology 2019-01-03 v1 Exactly Solvable and Integrable Systems

Abstract

The work presents the frst and the second degree Darboux polynomials, Jacobi's last multipliers as well as the set of frst integrals for Brans-Dicke cosmology. Algebraic invariant sets are constructed. First integrals are visualized for some particular values of the ω\omega parameter.

Cite

@article{arxiv.1901.00388,
  title  = {First integrals in the Brans-Dicke cosmology},
  author = {Zdzislaw A. Golda and Andrzej Woszczyna and Lukasz Bratek},
  journal= {arXiv preprint arXiv:1901.00388},
  year   = {2019}
}

Comments

8 pages, 3 figures, 2 tables

R2 v1 2026-06-23T07:01:27.206Z