Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -