scholarly journals Schwarzschild Space-Time in Gauge Theories of Gravity

1999 ◽  
Vol 101 (4) ◽  
pp. 987-987
Author(s):  
T. Kawai ◽  
E. Sakane ◽  
T. Tojo
Keyword(s):  
Gauge Theories ◽  
Space Time ◽  
Theories Of Gravity

scholarly journals Schwarzschild Space-Time in Gauge Theories of Gravity

1998 ◽  
Vol 99 (6) ◽  
pp. 971-992
Author(s):  
T. Kawai ◽  
E. Sakane ◽  
T. Tojo
Keyword(s):  
Gauge Theories ◽  
Space Time ◽  
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 Uq(N) GAUGE THEORIES

1994 ◽  
Vol 09 (30) ◽  
pp. 2835-2847 ◽  
Author(s):  
LEONARDO CASTELLANI
Keyword(s):  
Quantum Groups ◽  
Differential Calculus ◽  
Gauge Theories ◽  
Space Time ◽  
Yang Mills ◽  
Commutation Relations ◽  
Transformation Rules ◽  
Field Strengths

Improving on an earlier proposal, we construct the gauge theories of the quantum groups U q(N). We find that these theories are also consistent with an ordinary (commuting) space-time. The bicovariance conditions of the quantum differential calculus are essential in our construction. The gauge potentials and the field strengths are q-commuting "fields," and satisfy q-commutation relations with the gauge parameters. The transformation rules of the potentials generalize the ordinary infinitesimal gauge variations. For particular deformations of U (N) ("minimal deformations"), the algebra of quantum gauge variations is shown to close, provided the gauge parameters satisfy appropriate q-commutations. The q-Lagrangian invariant under the U q(N) variations has the Yang–Mills form [Formula: see text], the "quantum metric" gij being a generalization of the Killing metric.

Space-time independent potentials for SU(2), SU(1,1) and E(2) gauge theories

1979 ◽  
Vol 82 (3-4) ◽  
pp. 404-406 ◽  
Author(s):  
H. Bacry ◽  
J. Nuyts
Keyword(s):  
Gauge Theories ◽  
Space Time

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.

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
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