10-Dim Einstein spaces made up on basis of 6-Dim Ricci-flat spaces and 4-Dim Einstein spaces
Valery Dryuma

TL;DR
This paper constructs ten-dimensional vacuum Einstein spaces using four- and six-dimensional Ricci-flat spaces derived from solutions of the Sin-Gordon equation, and discusses their geodesic properties.
Contribution
It introduces a method to build 10D Einstein spaces from lower-dimensional Ricci-flat spaces linked to Sin-Gordon solutions, expanding geometric modeling techniques.
Findings
Examples of 10D vacuum Einstein spaces are constructed.
Geodesic properties of these spaces are analyzed.
Connections to Sin-Gordon equation solutions are established.
Abstract
Some examples of ten-dimensional vacuum Einstein spaces made up on basis of four-dimensional Ricci-flat spaces and six-dimensional Ricci-flat spaces defined by solutions of the Sin-Gordon equation are constructed. The properties of geodesics for such type of the spaces are discussed
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Black Holes and Theoretical Physics
