Canonical gravity in the parametric manifold picture

1994 ◽  
Vol 26 (8) ◽  
pp. 759-779 ◽  
Author(s):  
Gyula Fodor ◽  
Zoltán Perjés
Keyword(s):  
Canonical Gravity

scholarly journals Linear form of canonical gravity

1996 ◽  
Vol 111 (2) ◽  
pp. 271-273 ◽  
Author(s):  
Giampiero Esposito ◽  
Cosimo Stornaiolo
Keyword(s):  
Linear Form ◽  
Canonical Gravity

Remarks on the linking theory of shape dynamics

2018 ◽  
Vol 15 (06) ◽  
pp. 1850098
Author(s):  
P. P. Yu
Keyword(s):  
Phase Space ◽  
Vector Bundle ◽  
Short Note ◽  
Extended Phase Space ◽  
Geometric Structures ◽  
Extended Phase ◽  
Shape Dynamics ◽  
Canonical Gravity ◽  
Alternative Description ◽  
Gauge Fixing

This short note is an attempt to bring out the geometric structures in the linking theory of shape dynamics. Symplectic induction is applied to give a natural construction of the extended phase space used in the linking theory as a trivial vector bundle over the original phase space for canonical gravity. The geometry of the gauge fixing for shape dynamics is analyzed with the assistance of the Lichnerowicz–York equation lifted to the extended phase space. An alternative description is provided to show how the same geometry simply derives from symplectic induction.

Complex Canonical Gravity and Reality Constraints

1999 ◽  
Vol 31 (5) ◽  
pp. 719-723 ◽  
Author(s):  
Merced Montesinos ◽  
Hugo A. Morales-Tecotl ◽  
Luis F. Urrutia ◽  
J. David Vergara
Keyword(s):  
Canonical Gravity

scholarly journals A new perspective on covariant canonical gravity

2008 ◽  
Vol 25 (23) ◽  
pp. 235017 ◽  
Author(s):  
Andrew Randono
Keyword(s):  
Canonical Gravity ◽  
New Perspective

scholarly journals DIFF(Σ) AND METRICS FROM HAMILTONIAN-TQFT'S IN 2+1 DIMENSIONS

1993 ◽  
Vol 08 (24) ◽  
pp. 2277-2283 ◽  
Author(s):  
ROGER BROOKS
Keyword(s):  
Topological Field Theories ◽  
Gauge Theories ◽  
Dimensional Space ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Two Dimensional ◽  
Canonical Gravity ◽  
Topological Quantum ◽  
Topological Field

The constraints of BF topological gauge theories are used to construct Hamiltonians which are anti-commutators of the BRST and anti-BRST operators. Such Hamiltonians are a signature of topological quantum field theories (TQFTs). By construction, both classes of topological field theories share the same phase spaces and constraints. We find that, for (2+1)- and (1+1)-dimensional space-times foliated as M=Σ × ℝ, a homomorphism exists between the constraint algebras of our TQFT and those of canonical gravity. The metrics on the two-dimensional hypersurfaces are also obtained.

scholarly journals A covariant approach to Ashtekar's canonical gravity

1997 ◽  
Vol 14 (2) ◽  
pp. 477-488 ◽  
Author(s):  
Brian P Dolan ◽  
Kevin P Haugh
Keyword(s):  
Covariant Approach ◽  
Canonical Gravity
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