2011/08/26 by Tim Koslowski · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1088/1742-6596/360/1/012059
published as J. Phys.: Conf. Ser. (2012) 360, 012059 · 4 pages LaTeX, no figures
arxiv created 2011/08/26 · arxiv updated 2012/05/24
General Relativity can be reformulated as a geometrodynamical theory, called Shape Dynamics, that is not based on spacetime (in particular refoliation) symmetry but on spatial diffeomorphism and local spatial conformal symmetry. This leads to a constraint algebra that is (unlike General Relativity) a Lie algebra, where all local constraints are linear in momenta and may thus be quantized as vector fields on the geometrodynamic configuration space. The Hamiltonian of Shape Dynamics is complicated but admits simple expressions whenever spatial derivatives are negligible.