Revisiting local-scale invariant gravitational theory
Abstract
We revisit the conformally coupled scalar gravitational theory. This is the simplest local-scale invariant theory of gravity which is linear in the curvature scalar. We demonstrate that, if incorporate local-scale symmetry into the variational procedure, it is not required that the trace of the stress-energy tensor of the matter fields vanished for this symmetry to be preserved. The relevance of this result for the understanding of local-scale symmetry along with its physical consequences, is discussed.
Cite
@article{arxiv.2402.03184,
title = {Revisiting local-scale invariant gravitational theory},
author = {Israel Quiros},
journal= {arXiv preprint arXiv:2402.03184},
year = {2025}
}
Comments
12 pages, 1 figure. Title changed. We demonstrate that, if incorporate local-scale symmetry into the variational procedure, it is not required that the trace of the stress-energy tensor of the matter fields vanished for this symmetry to be preserved