Classical String Dynamics in Curved Backgrounds

Abstract

In this bachelor thesis, we study a rotating classical string embedded in the 5- dimensional Anti-de-Sitter spacetime (AdS5), through the analysis of the dynamics of the Polyakov action. We compute its energy E and spin S and discuss the dependence E(S). The function E(S) is explicitly derived in two limiting cases: the short string case (in which the length of the string is considerably smaller than the characteristic length of AdS5) and the long string case (in which it is considerably greater). In the former case, the dependence E(S) previously derived for a at space is recovered.