Fetching the paper…

Reading the bibliography…

2012

Observable Equivalence between General Relativity and Shape Dynamics

Koslowski, Tim

Original
PDF
Post on X

Understand

In this conceptual paper we construct a local version of Shape Dynamics that is equivalent to General Relativity in the sense that the algebras of Dirac observables weakly coincide.

This allows us to identify Shape Dynamics observables with General Relativity observables, whose observables can now be interpreted as particular representative functions of observables of a conformal theory at fixed York time.
An application of the observable equivalence of General Relativity and Shape Dynamics is to define the quantization of General Relativity through quantizing Shape Dynamics and using observable equivalence.
We investigate this proposal explicitly for gravity in 2+1 dimensions.

Observable Equivalence between General Relativity and Shape Dynamics · Around

Built on

J. W. York, N. O’Murchadha, “Existence and uniqueness of solutions of the Hamilton constraint of general relativity on compact manifolds”, J. Math. Phys. 14, no 11 (1973)
1973
Earlier work this paper cites.
V. Moncrief, “Reduction of the Einstein equations in (2+1)-dimensions to a Hamiltonian system over Teichmuller space,” J. Math. Phys. 30
1989
Earlier work this paper cites.
K. V. Kuchar, ”Time and interpretations of quantum gravity”, in Proceedings of the 4th Canadian Conference on General Relativity and Relativistic Astrophysics, World Scientific, Singapore, pp 211-314 (1992)
1992
Earlier work this paper cites.
M. Henneaux, C. Teitelboim, “Quantization of Guage Systems,” Princeton University Press, Priceton, 1992
1992
Earlier work this paper cites.

Similar

C. J. Isham, “Canonical quantum gravity and the problem of time,” In *Salamanca 1992, Proceedings, Integrable systems, quantum groups, and quantum field theories* 157-287, and London Imp. Coll. - ICTP-91-92-25 (92/08,rec.Nov.) 124 p [gr-qc/9210011]
1992
Cited alongside, same era.
A. Connes and C. Rovelli, “Von Neumann algebra automorphisms and time thermodynamics relation in general covariant quantum theories,” Class. Quant. Grav. 11
1994
Cited alongside, same era.
J. J. Halliwell and J. Thorwart, “Life in an energy eigenstate: Decoherent histories analysis of a model timeless universe,” Phys. Rev. D 65
2002
Cited alongside, same era.
T. Koslowski, “Shape Dynamics,” arXiv:1108.5224 [gr-qc]
Original
Cited in the paper.
T. Budd and T. Koslowski, “Shape Dynamics in 2+1 Dimensions,” to appear in Gen. Rel. Grav. arXiv:1107.1287 [gr-qc]
Original
Cited in the paper.
E. Anderson, “The Problem of Time and Quantum Cosmology in the Relational Particle Mechanics Arena,” arXiv:1111.1472 [gr-qc]
Original
Cited in the paper.
J. Barbour, “The Nature of Time,” arXiv:0903.3489 [gr-qc]
Original
Cited in the paper.

Then

S. Carlip, Quantum Gravity in 2+1 Dimensions
2003
Later among the works it cites.
H. Gomes, S. Gryb and T. Koslowski, “Einstein gravity as a 3D conformally invariant theory,” Class. Quant. Grav. 28
Original
2011
Later among the works it cites.
H. Gomes and T. Koslowski, “The Link between General Relativity and Shape Dynamics,” Class. Quant. Grav. 29
Original
2012
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…