2005/01/19 by Sergiu I. Vacaru, Vacaru, Sergiu I.
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #gr-qc #hep-th #math-ph #math.DG #math.MP
paper · pdf · doi:10.48550/arxiv.gr-qc/0501057
35 pages
arxiv created 2005/01/19 · openalex publication_date 2005/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.