https://doi.org/10.1140/epjp/s13360-024-04885-x
Regular Article
Least action principle for gravity and electrodynamics, the Lambda-term and the analog of Milne–McCrea solution for Lorentzian metric
Keldysh Institute of Applied Mathematics of RAS, Miusskaya Sq., 4, 125047, Moscow, Russia
a
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Received:
14
November
2023
Accepted:
1
January
2024
Published online:
1
February
2024
Abstract
We consider the derivation from the least action principle of relativistic and weakly relativistic Vlasov–Einstein equations. We also use the Vlasov–Einstein equations to analyze the dynamics and the evolution of certain structures. This approach enables to describe broad class of systems and their evolution, including the accelerated expansion of the universe with the cosmological constant and the recently arisen tensions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
