2016/04/30 by Partha Guha, E. Harikumar, Zuhair N. S +1
Mathematics · Physics and Astronomy · #Backus–Gilbert method #Cosmology and Gravitation Theories #Dimensional regularization #Geometric Analysis and Curvature Flows #Kepler #Kepler problem #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Regularization (linguistics) #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1063/1.4966552
published as J. Math. Phys.57, 112501 (2016) · 18 pages,references added
openalex created_date 2016/06/24 · openalex publication_date 2016/11/01 · arxiv created 2016/11/10 · arxiv updated 2016/11/23 · openalex updated_date 2026/08/05
In this paper, we regularize the Kepler problem on κ-spacetime in several different ways. First, we perform a Moser-type regularization and then we proceed for the Ligon-Schaaf regularization to our problem. In particular, generalizing Heckman and de Laat [J. Symplectic Geom. 10, 463-473 (2012)] in the noncommutative context, we show that the Ligon-Schaaf regularization map following from an adaptation of the Moser regularization can be generalized to the Kepler problem on κ-spacetime.