Stationary axially symmetric relativistic thin discs with nonzero radial pressure
Abstract
A detailed analysis of the surface energymomentum (SEMT) tensor of stationary axially symmetric relativistic thin discs with nonzero radial pressure is presented. The physical content of the SEMT is analysed and expressions for the velocity vector, energy density, principal stresses and heat flow are obtained. We also present the counterrotating model interpretation for these discs by considering the SEMT as the superposition of two counterrotating perfect fluids. We analyse the possibility of counterrotation along geodesics as well as counterrotation with equal and opposite tangential velocities, and explicit expressions for the velocities are obtained in both the cases. By assuming a given choice for the counterrotating velocities, explicit expressions for the energy densities and pressures of the counterrotating fluids are then obtained. Some simple thin disc models obtained from the Kerr solution are also presented.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 July 2012
 DOI:
 10.1088/02649381/29/13/135001
 Bibcode:
 2012CQGra..29m5001G