Click here to view fulltext PDF

Permanent link:
https://www.ias.ac.in/article/fulltext/pram/005/05/0289-0293

In this paper we have extended our earlier studies of solutions of Einstein-Cartan equations to the case where a magnetic field co-exists with the matter distribution. We have obtained an exact solution of Einstein-Cartan-Maxwell equations representing a static cylinder of perfect fluid with an axial magnetic fieldH and a non-zero spin densityK, satisfying the equation of stateρ=γ(p_r+p_s−H²/4π),γ being a constant. We notice that as a consequence of field equations there exists a direct relation between the pressurep, and the spin densityK, indicating that an increase in pressure would enormously increase the spin density.

A R Prasanna^{1 2}

1. Institüt für Theoretische Kernphysik der Universität Bonn, Nussallee 14-16, 53 Bonn, Germany
2. Physical Research Laboratory, Navrangpura, Ahmedabad - 380009

Published

November 1975

Manuscript received

20 August 1975