The generally covariant meaning of space distances
General Relativity and Quantum Cosmology
2022-01-11 v1 High Energy Physics - Theory
Abstract
We propose a covariant and geometric framework to introduce space distances as they are used by astronomers. In particular, we extend the definition of space distances from the one used between events to non-test-bodies with horizons and singularities so that the definition extends through the horizons and it matches the protocol used to measure them. The definition we propose can be used in standard General Relativity although it extends directly to Weyl geometries to encompass a number of modified theories, extended theories in particular.
Cite
@article{arxiv.2011.06297,
title = {The generally covariant meaning of space distances},
author = {Salvatore Capozziello and Alice Chiappini and Lorenzo Fatibene and Andrea Orizzonte},
journal= {arXiv preprint arXiv:2011.06297},
year = {2022}
}
Comments
12 pages, 4 figures