Splitting the source term for the Einstein equation to classical and quantum parts
General Relativity and Quantum Cosmology
2016-05-20 v3
Abstract
We consider the special and general relativistic extensions of the action principle behind the Schr\"odinger equation distinguishing classical and quantum contributions. Postulating a particular quantum correction to the source term in the classical Einstein equation we identify the conformal content of the above action and obtain classical gravitation for massive particles, but with a cosmological term representing off-mass-shell contribution to the energy-momentum tensor. In this scenario the - on the Planck scale surprisingly small - cosmological constant stems from quantum bound states (gravonium) having a Bohr radius as being \Lambda=3/a^2.
Cite
@article{arxiv.1312.1316,
title = {Splitting the source term for the Einstein equation to classical and quantum parts},
author = {T. S. Biró and P. Ván},
journal= {arXiv preprint arXiv:1312.1316},
year = {2016}
}
Comments
13 pages, revised