English

The Coupling of Shape Dynamics to Matter

General Relativity and Quantum Cosmology 2012-05-24 v1

Abstract

Shape Dynamics (SD) is a theory dynamically equivalent to vacuum General Relativity (GR), which has a different set of symmetries. It trades refoliation invariance, present in GR, for local 3-dimensional conformal invariance. This contribution to the Loops 11 conference addresses one of the more urgent questions regarding the equivalence: is it possible to incorporate normal matter in the new framework? The answer is yes, in certain regimes. We present general criteria for coupling and apply it to a few examples.The outcome presents bounds and conditions on scalar densities (such as the Higgs potential and the cosmological constant) not present in GR.

Keywords

Cite

@article{arxiv.1112.0374,
  title  = {The Coupling of Shape Dynamics to Matter},
  author = {Henrique Gomes},
  journal= {arXiv preprint arXiv:1112.0374},
  year   = {2012}
}

Comments

4 pages. Contribution to Loops '11 conference in Madrid, to appear in Journal of Physics: Conference Series (JPCS)

R2 v1 2026-06-21T19:45:05.192Z