2016/02/29 by Andrzej Borowiec, Tajron Jurić, Tajron Juric +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.1142/s0219887816400053
published as International Journal of Geometric Methods in Modern Physics, Vol. 13 (2016) 1640005 · 12 pages, published version, title modified
arxiv created 2016/06/15 · arxiv updated 2016/06/16
In this paper, we perform a parallel analysis to the model proposed in [25]. By considering the central co-tetrad (instead of the central metric), we investigate the modifications in the gravitational metrics coming from the noncommutative spacetime of the κ-Minkowski type in four dimensions. The differential calculus corresponding to a class of Jordanian κ-deformations provides metrics, which lead either to cosmological constant or spatial curvature type solutions of non-vacuum Einstein equations. Among vacuum solutions, we find pp-wave type.