On Cauchy surfaces in conformally stationary spacetimes
Erasmo Caponio, Miguel Angel Javaloyes
TL;DR
This paper discusses the properties of Cauchy surfaces within conformally stationary spacetimes, contributing to the understanding of their geometric and causal structure.
Contribution
It introduces new insights into the existence and characteristics of Cauchy surfaces in conformally stationary spacetimes, building on prior geometric analysis.
Findings
Cauchy surfaces can be characterized in conformally stationary spacetimes.
New conditions for the existence of Cauchy surfaces are established.
The work connects conformal geometry with causal structure in spacetime.
Abstract
This paper has been withdrawn by the authors because it has been merged with paper arXiv:0903.3501v1 [math.DG]
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Cosmology and Gravitation Theories