arXiv subjects

S. H. Castles

Publications and source records attributed to S. H. Castles.

2 recordsLinked to original sources

arXiv2011

The SU(1,1)/U(1) dynamical symmetry of a family of particles in the field of a Kerr black hole

A family of particles moving within a cone centered on a Kerr black hole is shown to have SU(1,1)/U(1) dynamical symmetry. This symmetry is used to identify a global time variable shared by all particles in the family. With this time variable, Hamilton's equations for the family of particles have the canonical form of the harmonic oscillator. The SU(1,1)/U(1) dynamical symmetry, along with the well defined global time variable and observer, assists in determining the quantization of the motion.

gr-qc↗

arXiv2011

Hamilton's equations of motion from the SU(1,1)/U(1) symmetry of Schwarzschild radial dynamics

Particles moving on a radial ray with respect to a Schwarzschild mass are shown to have SU(1,1)/U(1) dynamical symmetry. This symmetry is used to identify a global time variable shared by all test particles moving on a radial ray. With this time variable, Hamilton's equations for particles on a radial ray have the form of the harmonic oscillator. The SU(1,1)/U(1) symmetry, in conjunction with the well defined time variable and observer, assists in determining the quantization of the motion of the test particles.

gr-qc↗