Inelastic billiard ball in a spacetime with a time machine

Details Inelastic billiard ball in a spacetime with a time machine Inelastic billiard ball in a spacetime with a time machine

Feb 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.1432m&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 47, Issue 4, 15 February 1993, pp.1432-1436

Physics

8

Fundamental Problems And General Formalism

Scientific paper

The nonrelativistic motion with self-collision of an inelastic billiard ball in spacetime with a time machine is discussed. We consider the wormhole-type time machine, assuming that ɛ≡(radius of wormhole mouth)/(distance between mouths)<<1, and that (radius of ball)/(distance between wormhole mouths)=O(ɛ2). The coefficient of friction of the balls is of order ɛ, and the balls can have an arbitrary amount of inelasticity. Solutions are sought with an accuracy up through order ɛ4. We demonstrate that the generic class of initial data has self-consistent solutions of the equations of motion. Up to the order studied the friction does have an effect, but the inelasticity has no effect whatsoever.

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