Mathematical Properties of String Theory Elementary particle physics aims to give a consistent description of the elementary particles and their interactions. The gravitational force is described by Einstein's general relativity. The standard model is a quantum theory of elementary particles, general relativity is a classical theory. String theory is a proposal to unify gravitation with the other forces in a single quantum theory. In string theory it is assumed that particles manifest themselves as the different vibration modes of a stringlike structure.
String theory is still in a premature stage.
Although many interesting results have been obtained much work remains to be done to achieve the unification mentioned above. The investigation of string theory has led to many unexpected connections with other parts of theoretical physics and mathematics. Our particular interests are the symmetry properties of string theory, and the connections between string theory and the usual description of elementary particles in terms of pointlike objects. The aim is to investigate solutions of recently introduced modifications to Einstein's theory of general relativity. It is well-known that the field equations of general relativity allow a variety of solutions, such as the expanding universe, gravitational waves and black holes.