Ricci curvature and metric in causal spacetimes
Differential Geometry
2026-03-03 v1 General Relativity and Quantum Cosmology
Abstract
A viable spacetime is one that admits a complete timelike geodesic. It is shown that a causal diffeomorphism preserving the Ricci tensor between two spacetimes is necessarily a homothety, if one of them is viable.
Keywords
Cite
@article{arxiv.2603.02027,
title = {Ricci curvature and metric in causal spacetimes},
author = {Javier Lafuente-López},
journal= {arXiv preprint arXiv:2603.02027},
year = {2026}
}
Comments
10 pages