2011/10/31 by Henrique Gomes, Tim Koslowski · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.1007/s10714-012-1355-2
published as Gen. Rel. Grav. 44, No 6 (2012), 1539-1553 · 10 pages, LaTeX, no figures
openalex publication_date 2012/04/05 · arxiv created 2012/05/23 · arxiv updated 2012/05/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Shape Dynamics is a metric theory of pure gravity, equivalent to General Relativity, but formulated as a gauge theory of spatial diffeomporphisms and local spatial conformal transformations. In this paper we extend the construction of Shape Dynamics form pure gravity to gravity-matter systems and find that there is no obstruction for the coupling of gravity to standard matter. We use the matter gravity system to construct a clock and rod model for Shape Dynamics which allows us to recover a spacetime interpretation of Shape Dynamics trajectories.