The cosmological constant vs adiabatic invariance
Center for Cosmology and Astrophysics, Alikhanian National Laboratory and Yerevan State University, Yerevan, Armenia
2 School of Physics and Astronomy, Monash University, Clayton, Australia
3 SIA, Sapienza Universita di Roma, Rome, Italy
Accepted: 4 April 2022
Published online: 12 April 2022
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022