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A critical analysis of some fundamental differences in gauge approaches to gravitation

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A critical analysis of some fundamental differences in gauge approaches to gravitation. / Benn, Ian; Dereli, Tekin; Tucker, Robin.

In: Journal of Physics A: Mathematical and General , Vol. 15, No. 3, 1982, p. 849-866.

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Harvard

Benn, I, Dereli, T & Tucker, R 1982, 'A critical analysis of some fundamental differences in gauge approaches to gravitation', Journal of Physics A: Mathematical and General , vol. 15, no. 3, pp. 849-866. https://doi.org/10.1088/0305-4470/15/3/023

APA

Benn, I., Dereli, T., & Tucker, R. (1982). A critical analysis of some fundamental differences in gauge approaches to gravitation. Journal of Physics A: Mathematical and General , 15(3), 849-866. https://doi.org/10.1088/0305-4470/15/3/023

Vancouver

Author

Benn, Ian ; Dereli, Tekin ; Tucker, Robin. / A critical analysis of some fundamental differences in gauge approaches to gravitation. In: Journal of Physics A: Mathematical and General . 1982 ; Vol. 15, No. 3. pp. 849-866.

Bibtex

@article{6d5eabf2a95f4a2dbcbf4de145acd997,
title = "A critical analysis of some fundamental differences in gauge approaches to gravitation",
abstract = "Static spherically symmetric solutions of a particular model of gravitation, including quadratic curvature and torsion terms, are discussed and compared with those found earlier in a model described by a different action. Considerable emphasis is placed on a Lorentz group covariant formulation of the models and the role of local diffeomorphisms of space-time carefully distinguished from the structure group for gravitation. It is argued that the 'modified Poincare gauge' approach of Hehl (1980) and co-workers mixes these concepts and that their model for gravity is dynamically specified by a locally Lorentz invariant action. The logical distinction between a space-time transformation generated by symmetries of particular solutions to a model and gauge covariant symmetries that apply to all solutions is demonstrated. ",
author = "Ian Benn and Tekin Dereli and Robin Tucker",
year = "1982",
doi = "10.1088/0305-4470/15/3/023",
language = "English",
volume = "15",
pages = "849--866",
journal = "Journal of Physics A: Mathematical and General ",
issn = "0305-4470",
publisher = "IOP Publishing Ltd",
number = "3",

}

RIS

TY - JOUR

T1 - A critical analysis of some fundamental differences in gauge approaches to gravitation

AU - Benn, Ian

AU - Dereli, Tekin

AU - Tucker, Robin

PY - 1982

Y1 - 1982

N2 - Static spherically symmetric solutions of a particular model of gravitation, including quadratic curvature and torsion terms, are discussed and compared with those found earlier in a model described by a different action. Considerable emphasis is placed on a Lorentz group covariant formulation of the models and the role of local diffeomorphisms of space-time carefully distinguished from the structure group for gravitation. It is argued that the 'modified Poincare gauge' approach of Hehl (1980) and co-workers mixes these concepts and that their model for gravity is dynamically specified by a locally Lorentz invariant action. The logical distinction between a space-time transformation generated by symmetries of particular solutions to a model and gauge covariant symmetries that apply to all solutions is demonstrated.

AB - Static spherically symmetric solutions of a particular model of gravitation, including quadratic curvature and torsion terms, are discussed and compared with those found earlier in a model described by a different action. Considerable emphasis is placed on a Lorentz group covariant formulation of the models and the role of local diffeomorphisms of space-time carefully distinguished from the structure group for gravitation. It is argued that the 'modified Poincare gauge' approach of Hehl (1980) and co-workers mixes these concepts and that their model for gravity is dynamically specified by a locally Lorentz invariant action. The logical distinction between a space-time transformation generated by symmetries of particular solutions to a model and gauge covariant symmetries that apply to all solutions is demonstrated.

U2 - 10.1088/0305-4470/15/3/023

DO - 10.1088/0305-4470/15/3/023

M3 - Journal article

VL - 15

SP - 849

EP - 866

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 3

ER -