TL;DR
This paper introduces a new explicit incomplete Ricci-flat metric in four dimensions, derived from a system of ODEs, and analyzes its geometric properties.
Contribution
It presents a novel explicit construction of an incomplete Ricci-flat metric in four dimensions using a system of ODEs, expanding known examples.
Findings
Found a new Ricci-flat incomplete metric explicitly
Analyzed the geometric characteristics of the metric
Contributed to the classification of Ricci-flat metrics
Abstract
We define a system of ODE that gives Einstein 4-dimensional metrics. We found new Ricci-flat incomplete metric of cohomogeneity 1 in explicit formulas and study its characteristics.
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