Collisions in piecewise flat gravity in 3+1 dimensions

Abstract

We consider the (3+1)-dimensional locally finite gravity model proposed by 't Hooft. In particular we revisit the problem of resolving collisions of string defects. We provide a new geometric description of the configurations of strings using piecewise flat manifolds, and use it to resolve a more general class of collisions. We argue that beyond certain bounds for the deficiency/surplus angles no resolutions may be found that satisfy the imposed causality conditions.

29 pages, 12 figures

References in corpus (3)

• Loop Quantum Gravity a la Aharonov-Bohm
• A locally finite model for gravity
• Polygon model from first order gravity

Cited by in corpus (3)

• The Geometry of Massless Cosmic Strings
• Piecewise Flat Gravitational Waves
• Exact Piecewise Flat Gravitational Waves