English

Flat Spacetime Gravitation with a Preferred Foliation

General Relativity and Quantum Cosmology 2007-05-23 v1

Abstract

Paralleling the formal derivation of general relativity as a flat spacetime theory, we introduce in addition a preferred temporal foliation. The physical interpretation of the formalism is considered in the context of 5-dimensional ``parametrized'' and 4-dimensional preferred frame contexts. In the former case, we suggest that our earlier proposal of unconcatenated parametrized physics requires that the dependence on τ\tau be rather slow. In the 4-dimensional case, we consider and tentatively reject several areas of physics that might require a preferred foliation, but find a need for one in the process (``flowing'') theory of time. We then suggest why such a foliation might reasonably be unobservable.

Keywords

Cite

@article{arxiv.gr-qc/0101099,
  title  = {Flat Spacetime Gravitation with a Preferred Foliation},
  author = {J. Brian Pitts and W. C. Schieve},
  journal= {arXiv preprint arXiv:gr-qc/0101099},
  year   = {2007}
}

Comments

contribution to proceedings of Conference on Relativistic Dynamics IARD2000, June 26-28, 2000, Tel Aviv, Israel, to appear in Foundations of Physics

R2 v1 2026-07-22T12:33:11.102Z