The basic objects in string theory are relativistic strings, which are usually considered as elementary, quantum objects. However, the string equations of motion allow for large, classically stable configurations, which are time dependent and do not dissipate energy in time. In this project, you will be playing with various solutions to classical string equations of motion, describing string in flat and various curved spacetimes. In particular you will be finding solutions which describe pulsating, spiky, figure eight or folded strings in flat, AdS and FRW spaces. You will look at both open and closed strings. If time allows you will be encouraged to look at semiclassical quantisation of such objects.
You will need Analysis in Many Variables and it is also good if you have worked with mathematica or a similar program.