The generally covariant meaning of space distances

被引：1

作者：

Capozziello, S. ^{[1
,2
,3
]}

Chiappini, A. ^{[4
]}

Fatibene, L. ^{[4
,5
]}

Orizzonte, A. ^{[4
,5
]}

机构：

[1] Univ Napoli Federico II, Dept Phys E Pancini, Via Cinthia, I-80126 Naples, Italy

[2] Ist Nazl Fis Nucl INFN, Sez Napoli, Via Cinthia 9, I-80126 Naples, Italy

[3] Scuola Super Meridionale, Largo S Marcellino 10, I-80138 Naples, Italy

[4] Univ Torino, Dept Math, Via Carlo Alberto 10, I-10123 Turin, Italy

[5] Ist Nazl Fis Nucl INFN, Sez Torino Italy, Via P Giuria 1, I-10125 Turin, Italy

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2020年 / 135卷 / 12期

关键词：

D O I：

10.1140/epjp/s13360-020-00968-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：15

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