Progress in metric-affine gauge theories of gravity with local scale invariance

1989 ◽  
Vol 19 (9) ◽  
pp. 1075-1100 ◽  
Author(s):  
Friedrich W. Hehl ◽  
J. Dermott McCrea ◽  
Eckehard W. Mielke ◽  
Yuval Ne'eman
Keyword(s):  
Scale Invariance ◽  
Gauge Theories ◽  
Local Scale ◽  
Theories Of Gravity

scholarly journals Canonical transformation path to gauge theories of gravity

2017 ◽  
Vol 95 (12) ◽  
Author(s):  
J. Struckmeier ◽  
J. Muench ◽  
D. Vasak ◽  
J. Kirsch ◽  
M. Hanauske ◽  
...  
Keyword(s):  
Canonical Transformation ◽  
Gauge Theories ◽  
Transformation Path ◽  
Theories Of Gravity

scholarly journals Symmetry algebra in gauge theories of gravity

2019 ◽  
Vol 36 (4) ◽  
pp. 045002 ◽  
Author(s):  
Cristóbal Corral ◽  
Yuri Bonder
Keyword(s):  
Gauge Theories ◽  
Symmetry Algebra ◽  
Theories Of Gravity

scholarly journals THE EXISTENCE OF TIME

2011 ◽  
Vol 08 (02) ◽  
pp. 273-301 ◽  
Author(s):  
JOSEPH A. SPENCER ◽  
JAMES T. WHEELER
Keyword(s):  
General Relativity ◽  
Euclidean Space ◽  
Configuration Space ◽  
Symplectic Form ◽  
Gauge Theories ◽  
Conformal Group ◽  
Metric Structures ◽  
Theories Of Gravity

Of those gauge theories of gravity known to be equivalent to general relativity, only the biconformal gauging introduces new structures — the quotient of the conformal group of any pseudo-Euclidean space by its Weyl subgroup always has natural symplectic and metric structures. Using this metric and symplectic form, we show that there exist canonically conjugate, orthogonal, metric submanifolds if and only if the original gauged space is Euclidean or signature 0. In the Euclidean cases, the resultant configuration space must be Lorentzian. Therefore, in this context, time may be viewed as a derived property of general relativity.

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