Radiation gravitates - anything that carries energy, momentum and stresses is a source of a gravitational field, i.e. a curvature in the fabric of space:

An electromagnetic field have its own gravitational field, because an electromagnetic field contains energy, momentum (Maxwell's stress-energy tensor), and so on, it is considered as a real thing capable of gravitating, as such, it will produce a gravitational field of its own. This gravitational field is in addition to that produced by the matter of the charge or magnet. Electric charges and magnets are manifestations of certain types of matter, most particularly electrons. 

Since matter carries energy (via E=mc^2), such objects will have a gravitational field and so they will curve the fabric of space. So, one way in which a charge or a magnet will curve the fabric of space is by virtue of its matter.

Please confirm the above.

#electromagneticfield #gravitationalfield