Universität zu Köln

Itin, Yakov, Hehl, Friedrich W. ORCID: 0000-0003-2503-4744 and Obukhov, Yuri N. (2017). Premetric equivalent of general relativity: Teleparallelism. Phys. Rev. D, 95 (8). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0029

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Abstract

In general relativity (GR), the metric tensor of spacetime is essential since it represents the gravitational potential. In other gauge theories (such as electromagnetism), the so-called premetric approach succeeds in separating the purely topological field equation from the metric-dependent constitutive law. We show here that GR allows for a premetric formulation, too. For this purpose, we apply the teleparallel approach of gravity, which represents GR as a gauge theory based on the translation group. We formulate the metric-free topological field equation and a general linear constitutive law between the basic field variables. The requirement of local Lorentz invariance turns the model into a full equivalent of GR. Our approach opens a way for a natural extension of GR to diverse geometrical structures of spacetime.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Itin, Yakov UNSPECIFIED UNSPECIFIED UNSPECIFIED Hehl, Friedrich W. UNSPECIFIED orcid.org/0000-0003-2503-4744 UNSPECIFIED Obukhov, Yuri N. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-233968
DOI:	10.1103/PhysRevD.95.084020
Journal or Publication Title:	Phys. Rev. D
Volume:	95
Number:	8
Date:	2017
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2470-0029
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ENERGY-MOMENTUM CURRENT; GAUGE-THEORY; GRAVITY; SPIN Multiple languages Astronomy & Astrophysics; Physics, Particles & Fields Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23396