Causal Classification of Conformally Flat Lorentzian Cylinders
Alexander Dirmeier
TL;DR
This paper systematically classifies all causality conditions for conformally flat Lorentzian metrics on two-dimensional cylinders, providing a comprehensive understanding of their causal structures.
Contribution
It explicitly derives all causality conditions for conformally flat Lorentzian metrics on 2D cylinders, filling a gap in the geometric classification.
Findings
Complete list of causality conditions identified
Characterization of causal structures on 2D cylinders
Framework for analyzing conformally flat Lorentzian geometries
Abstract
We derive all possible causality conditions for conformally flat Lorentzian metrics on the two-dimensional cylinder.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Black Holes and Theoretical Physics