Is the cosmological constant an eigenvalue?
General Relativity and Quantum Cosmology
2021-03-12 v1
Abstract
We propose to reinterpret Einstein's field equations as a nonlinear eigenvalue problem, where the cosmological constant plays the role of the (smallest) eigenvalue. This interpretation is fully worked out for a simple model of scalar gravity. The essential ingredient for the feasibility of this approach is that the classical field equations be nonlinear, i.e., that the gravitational field is itself a source of gravity. The cosmological consequences and implications of this approach are developed and discussed.
Cite
@article{arxiv.2102.09601,
title = {Is the cosmological constant an eigenvalue?},
author = {Giovanni Manfredi},
journal= {arXiv preprint arXiv:2102.09601},
year = {2021}
}