Collapse of a charged radiating star with shear

The junction conditions for a magnetohydrodynamic fluid sphere undergoing d issipative gravitational collapse in the form of a radial heat flux with sh ear are obtained. These conditions extend particular results of earlier tre atments. We demonstrate that the pressure is proportional to the magnitude of the heat flux as is the case in shear-free models. However in our case t he gravitational potentials must be solutions of the Einstein-Maxwell syste m of equations. The mass function m(v) is increased by a factor related to the charge Q of the radiating star. Physical quantities relating to the loc al conservation of momentum and surface redshift are obtained.