Unimodular gravity with external sources
High Energy Physics - Theory
2015-06-11 v3 General Relativity and Quantum Cosmology
Abstract
The only allowed source of the gravitational field in the unimodular theory, invariant under area-preserving (transverse) diffeomorphisms as well as Weyl transformations, is just the traceless piece of the energy-momentum tensor. This fact notwithstanding, the free energy produced by arbitrary sources (not only static ones) is identical to the one predicted by general relativity. This encompasses all weak field tests of gravitation.
Cite
@article{arxiv.1209.6223,
title = {Unimodular gravity with external sources},
author = {Enrique Álvarez and Mario Herrero-Valea},
journal= {arXiv preprint arXiv:1209.6223},
year = {2015}
}
Comments
14 pages. Extended introduction; typos corrected; cosmetic changes