Role of electric charge in shaping equilibrium configurations of fluid tori encircling black holes
Abstract
Astrophysical fluids may acquire nonzero electrical charge because of strong irradiation or charge separation in a magnetic field. In this case, electromagnetic and gravitational forces may act together and produce new equilibrium configurations, which are different from the uncharged ones. Following our previous studies of charged test particles and uncharged perfect fluid tori encircling compact objects, we introduce here a simple test model of a charged perfect fluid torus in strong gravitational and electromagnetic fields. In contrast to ideal magnetohydrodynamic models, we consider here the opposite limit of negligible conductivity, where the charges are tied completely to the moving matter. This is an extreme limiting case which can provide a useful reference against which to compare subsequent more complicated astrophysically motivated calculations. To clearly demonstrate the features of our model, we construct threedimensional axisymmetric charged toroidal configurations around ReissnerNordström black holes and compare them with equivalent configurations of electrically neutral tori.
 Publication:

Physical Review D
 Pub Date:
 October 2011
 DOI:
 10.1103/PhysRevD.84.084002
 arXiv:
 arXiv:1110.4843
 Bibcode:
 2011PhRvD..84h4002K
 Keywords:

 04.25.g;
 04.70.Bw;
 95.30.Qd;
 04.40.b;
 Approximation methods;
 equations of motion;
 Classical black holes;
 Magnetohydrodynamics and plasmas;
 Selfgravitating systems;
 continuous media and classical fields in curved spacetime;
 Astrophysics  High Energy Astrophysical Phenomena;
 General Relativity and Quantum Cosmology
 EPrint:
 14 pages, 7 figures