Dynamical Charged N-body Equilibrium in Circular Dilaton Gravity

Details Dynamical Charged N-body Equilibrium in Circular Dilaton Gravity Dynamical Charged N-body Equilibrium in Circular Dilaton Gravity

2004-10-13

arxiv.org/abs/gr-qc/0410059v1

Class.Quant.Grav. 21 (2004) 5789-5818

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 30 pages

Scientific paper

10.1088/0264-9381/21/24/008

We extend the problem of $(1+1)$ circular dilaton gravity to include charged particles. We examine the two (charged) particle case in detail and find an exact equilibrium solution. We then extend this to $N-$particles and obtain a solution for this case as well. This class of solutions corresponds to $N$-particles of the same mass, spaced evenly around the circle with charges chosen so that the electric field satisfies $E^{2}=$constant. We discuss the relation of these solutions to the previous uncharged equilibrium solutions and examine the behavior when the number of particles is large. We comment on the challenges in further generalizing the solutions we obtain.

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