2020/11/12 by Salvatore Capozziello, Salvatore Capozzıello, Alice Chiappini +4 · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Calculus (dental) #Computer science #Cosmology and Gravitation Theories #Covariant transformation #Epistemology #General relativity #Geometry #Gravitational singularity #History and Developments in Astronomy #Mathematical analysis #Mathematics #Meaning (existential) #Measure (data warehouse) #Philosophy #Physics #Pure mathematics #Relativity and Gravitational Theory #Space (punctuation) #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1140/epjp/s13360-020-00968-7
published in The European Physical Journal Plus 135(12) (Springer Science+Business Media) · 12 pages, 4 figures
arxiv created 2020/11/12 · openalex publication_date 2020/12/01 · arxiv updated 2022/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.