(2+1)-Gravity Solutions with Spinning Particles
M. Ciafaloni, P. Valtancoli
TL;DR
This paper derives exact and perturbative solutions for the motion of spinning particles in 2+1 dimensional gravity, highlighting the role of CTC horizons and providing insights into classical multi-particle dynamics.
Contribution
It presents the first exact solutions for static multi-spinning particles and perturbative dynamic solutions in 2+1 gravity using a specific conformal Coulomb gauge.
Findings
Exact solutions for static multi-spinning particles
Perturbative dynamic solutions for two particles
Identification of CTC horizons affecting gauge validity
Abstract
We derive, in 2+1 dimensions, classical solutions for metric and motion of two or more spinning particles, in the conformal Coulomb gauge introduced previously. The solutions are exact in the -body static case, and are perturbative in the particles' velocities in the dynamic two-body case. A natural boundary for the existence of our gauge choice is provided by some ``CTC horizons'' encircling the particles, within which closed timelike curves occur.
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