Cones and causal structures on topological and differentiable manifolds

Details Cones and causal structures on topological and differentiable manifolds Cones and causal structures on topological and differentiable manifolds

1999-05-31

arxiv.org/abs/gr-qc/9905106v3

J.Math.Phys. 40 (1999) 6589-6597; Erratum-ibid. 41 (2000) 3303

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

v3: 12 pages, latex+amssymb; compatibility conditions (2.5) and (3.2) with misprints corrected and improved argument

Scientific paper

General definitions for causal structures on manifolds of dimension d+1>2 are presented for the topological category and for any differentiable one. Locally, these are given as cone structures via local (pointwise) homeomorphic or diffeomorphic abstraction from the standard null cone variety in R^{d+1}. Weak and strong local cone (LC) structures refer to the cone itself or a manifold thickening of the cone respectively. After introducing cone (C-)causality, a causal complement with reasonable duality properties can be defined. The most common causal concepts of space-times are generalized to the present topological setting. A new notion of precausality precludes inner boundaries within future/past cones. LC-structures, C-causality, a topological causal complement, and precausality may be useful tools in conformal and background independent formulations of (algebraic) quantum field theory and quantum gravity.

Affiliated with

Also associated with

No associations

Rating

Cones and causal structures on topological and differentiable manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cones and causal structures on topological and differentiable manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cones and causal structures on topological and differentiable manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-618537