The cosmological constant vs adiabatic invariance
General Relativity and Quantum Cosmology
2022-04-19 v1 Instrumentation and Methods for Astrophysics
Classical Physics
Abstract
The property of adiabatic invariance is studied for the generalized potential satisfying the condition of identity of sphere's and point mass's gravity. That function contains a second term corresponding to the cosmological constant as weak-field General Relativity and enables to describe the dynamics of groups and clusters of galaxies and the Hubble tension as a result of two flows, local and global ones. Using the adiabatic invariance approach we derive the orbital parameters via Weierstrass functions, including the formula for the eccentricity which explicitly reveals the differences from the Kepler problem.
Cite
@article{arxiv.2204.06048,
title = {The cosmological constant vs adiabatic invariance},
author = {Sh. Khlghatyan and A. A. Kocharyan and A. Stepanian and V. G. Gurzadyan},
journal= {arXiv preprint arXiv:2204.06048},
year = {2022}
}
Comments
6 pages, 2 figures; Eur. Phys. J. Plus (in press)