Inelastic billiard ball in a spacetime with a time machine

Journal Article · Mon Feb 15 04:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.1432· OSTI ID:6787358

Mikheeva, E V ^[1]; Novikov, I D ^[2]

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1. Sternberg State Astronomical Institute, Moscow 119899 (Russian Federation)
2. Copenhagen University Observatory, Oster Voldgade 3, DK-1350 Copenhagen (Denmark) NORDITA, Blegdamsvej 17, DK-2100 Copenhagen (Denmark) Astro Space Center of the P. N. Lebedev Physical Institute, Moscow (Russian Federation)

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 [epsilon][equivalent to](radius of wormhole mouth)/(distance between mouths)[much lt]1, and that (radius of ball)/(distance between wormhole mouths)=[ital O]([epsilon][sup 2]). The coefficient of friction of the balls is of order [epsilon], and the balls can have an arbitrary amount of inelasticity. Solutions are sought with an accuracy up through order [epsilon][sup 4]. 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.

• OSTI ID: 6787358
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:4; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FRICTION
INELASTIC SCATTERING
INTERACTIONS
MATHEMATICAL SPACE
MINKOWSKI SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
SCATTERING
SELF-CONSISTENT FIELD
SPACE
SPACE-TIME
TIME DEPENDENCE
UNIVERSE