Ricci curvature and metric in causal spacetimes

Fuente: arXiv
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Main Author: Lafuente-López, Javier
Format: Preprint
Published: 2026
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author Lafuente-López, Javier
author_facet Lafuente-López, Javier
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_02027
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Ricci curvature and metric in causal spacetimes
Lafuente-López, Javier
Differential Geometry
General Relativity and Quantum Cosmology
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.
title Ricci curvature and metric in causal spacetimes
topic Differential Geometry
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2603.02027