We report work towards a relativistic formulation for modeling strongly magnetized neutron stars, rotating or in a close circular orbit around another neutron star or black hole, under the approximations of helical symmetry and ideal MHD. The quasi-stationary evolution is governed by the first law of thermodynamics for helically symmetric systems, which is generalized to include magnetic fields. The formulation involves an iterative scheme for solving the Einstein-Maxwell and relativistic MHD-Euler equations numerically. The resulting configurations for binary systems could be used as self-consistent initial data for studying their inspiral and merger.
@article{arxiv.1111.1409,
title = {Quasi-equilibrium models of magnetized compact objects},
author = {Charalampos Markakis and Koji Uryu and Eric Gourgoulhon},
journal= {arXiv preprint arXiv:1111.1409},
year = {2011}
}
Comments
Talk given at the 14th Conference on Recent Developments in Gravity (NEB XIV), Ioannina, Greece, 8-11 Jun 2010