Solvable two-particle systems with time-asymmetric interactions in de Sitter space
General Relativity and Quantum Cosmology
2026-02-18 v1 Mathematical Physics
math.MP
Abstract
The two-particle models in de Sitter space-time with time-asymmetric retarded-advanced interactions are constructed. Particular cases of the field-type electromagnetic and scalar interactions are considered. The manifestly covariant descriptions of the models within the Lagrangian and Hamiltonian formalisms with constraints are proposed. It is shown that the models are de Sitter-invariant and integrable. An explicit solution of equations of motion is derived in quadratures by means of projection operator technique.
Cite
@article{arxiv.2007.03524,
title = {Solvable two-particle systems with time-asymmetric interactions in de Sitter space},
author = {Askold Duviryak},
journal= {arXiv preprint arXiv:2007.03524},
year = {2026}
}
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22 pages