Modeling Collisionless Matter in General Relativity: A New Numerical Technique

Details Modeling Collisionless Matter in General Relativity: A New Numerical Technique Modeling Collisionless Matter in General Relativity: A New Numerical Technique

1996-07-24

arxiv.org/abs/astro-ph/9607124v1

Phys.Rev. D55 (1997) 5997-6001

Astronomy and Astrophysics

Astrophysics

6 pages, 3 postscript figures, submitted to Physical Review D

Scientific paper

10.1103/PhysRevD.55.5997

We propose a new numerical technique for following the evolution of a self-gravitating collisionless system in general relativity. Matter is modeled as a scalar field obeying the coupled Klein-Gordon and Einstein equations. A phase space distribution function, constructed using covariant coherent states, obeys the relativistic Vlasov equation provided the de Broglie wavelength for the field is very much smaller than the scales of interest. We illustrate the method by solving for the evolution of a system of particles in a static, plane-symmetric, background spacetime.

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