Computational Topics in General Relativity, Gauge Theory, Classical Mechanics

Research - Groups

• Statistical Analysis and Computation Methods and Stochastic Models
• Symmetry/Integrability Analysis and Computer Algebra for Nonlinear Differential Equations
• Computational Methods for Variational Problems
• Analysis and Simulation of Discrete, Spatially-extended Dynamical Systems
• Computational Algebra and Number Theory
• Computer Algebra Algorithms and Parallel Computing
• Computational Topics in General Relativity, Gauge Theory, Classical Mechanics

Computational Topics in General Relativity, Gauge Theory, Classical Mechanics

S. Anco, J. Vrbik, and T. Wolf pursue a variety of research topics in gauge field theory, General Relativity and gravitational field theory, classical and celestial mechanics, from a computational direction.

Representative publications

1. S.C. Anco, “Parity violating spin-two gauge theories”, Phys. Rev. D 67 (2003), 124007.
2. S.C. Anco, “Gauge theory deformations and novel Yang-Mills Chern-Simon field theories with torsion”, Int. J. Geometric Methods in Modern Physics 1 (2004), 493-544.
3. S.C. Anco (with J. Pohjanpelto), “Symmetries and currents of massless neutrino fields, electromagnetic and graviton fields” in CRM Proceedings and Lecture Notes, Volume 34, "Workshop on Symmetry in Physics" (2004), 1-12.
4. T. Wolf, “Structural equations for Killing tensors of arbitrary rank”, Comp. Phys. Comm., 115 (1998) 316 - 329.
5. T. Wolf, “Killing Pairs in Flat Space”, Gen Rel and Grav , 30 (1998) 123-129.
6. J. Vrbik, “Resonance formation of Kirkwood gaps and asteroid clusters”, J. Phys. A 29 (1996) 3311-3316.
7. J. Vrbik, “Perturbative solution of an asteroid’s motion in resonance with Jupiter”, Monthly Notices of the Royal Astronomical Society 316 (2000) 459-463.
8. J. Vrbik, “A novel solution of Kepler’s problem”, Euro. J. Phys. 24 (2003) 575-583.