Einstein-Cartan Algebroids and Black Holes in Solitonic Backgrounds

Abstract

We construct a new class of exact solutions describing spacetimes possessing Lie algebroid symmetry. They are described by generic off-diagaonal 5D metrics embedded in bosonic string gravity and possess nontrivial limits to the Einstein gravity. While we focus on nonholonomic vielbein transforms of the Schwarzschild metrics to 5D ansatz with solitonic backgrounds, much of the analysis continues to hold for more general configurations with nontrivial Lie algebroid structure and nonlinear connections. We carefully investigate some examples when the anchor structure is related to 3D solitonic interactions. The approach defines a general geometric method of constructing exact solutions with various type of symmetries and new developments and applications of the Lie aglebroid theory.

35 pages

References in corpus (1)

• A Method of Constructing Off-Diagonal Solutions in Metric-Affine and String Gravity

Cited by in corpus (5)

• Finsler-Lagrange Geometries and Standard Theories in Physics: New Methods in Einstein and String Gravity
• Metrizable linear connections in a Lie algebroid
• Clifford Algebroids and Nonholonomic Spinor Deformations of Taub-NUT Spacetimes
• Curvature collineations on Lie algebroid structure
• (Pseudo)Generalized Kaluza-Klein G-Spaces and Einstein Equations