I don't think so.Reason being,the form of energy present will depend on the exact geometry of space-time.So,if it's a field or a mass or what kind of field will depend on the geometry.Secondly,you have asked that where there is space-time curvature,is there an emission of EM or GM...
Well,no.But,if you say that spacetime is dependent on matter and energy,then I will say yes.No doubt that two came into being simultaniously.Now,the question is which one is whose consequence?Is space-time due to energy,or,is it that we are viewing it from a totally different prospective.
First of all I am not claiming that I have a new theory or something.What I am just saying is that I have another viewpoint of looking at the things which will follow.Before that,I request you all that if you read the post please leave a reply,may be a comment,a flaw that you find,some...