scholarly journals From Kaluza-Klein to Non-Commutative Gauge Theories of Gravity

Proceedings ◽  
2018 ◽  
Vol 2 (1) ◽  
pp. 29
Author(s):  
George Zoupanos
2017 ◽  
Vol 95 (12) ◽  
Author(s):  
J. Struckmeier ◽  
J. Muench ◽  
D. Vasak ◽  
J. Kirsch ◽  
M. Hanauske ◽  
...  

2019 ◽  
Vol 36 (4) ◽  
pp. 045002 ◽  
Author(s):  
Cristóbal Corral ◽  
Yuri Bonder

2011 ◽  
Vol 08 (02) ◽  
pp. 273-301 ◽  
Author(s):  
JOSEPH A. SPENCER ◽  
JAMES T. WHEELER

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.


1989 ◽  
Vol 19 (9) ◽  
pp. 1075-1100 ◽  
Author(s):  
Friedrich W. Hehl ◽  
J. Dermott McCrea ◽  
Eckehard W. Mielke ◽  
Yuval Ne'eman

1998 ◽  
Vol 99 (6) ◽  
pp. 971-992
Author(s):  
T. Kawai ◽  
E. Sakane ◽  
T. Tojo

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