Dynamics of cosmic strings and springs; a covariant formulation

A general family of charge-current carrying string models is investigated. In the special case of circular configurations in arbitrary axially symmetric gravitational and electromagnetic backgrounds the dynamics is determined by simple point particle Hamiltonians. A certain ”duality ” transformation relates our results to previous ones, obtained by Carter et.al., for an infinitely long open stationary string in an arbitrary stationary background. Classical circular string configurations, obtained for instance as solutions to the equations of motion for the Nambu-Goto action [1], are known to collapse unless there are internal or external forces balancing the string tension. Such forces may arise from charges and currents on the string [2] and/or from external gravitational and electromagnetic potentials [3-6]. For suitable internal or external forces stable non-collapsing configurations may exist, which are then sometimes denoted as ”cosmic springs”. Internal electromagnetic degrees of freedom as well as the coupling to external potentials can be introduced in different ways by generalizing the ordinary Nambu-Goto action. One possibility is a Kaluza-Klein construction

Перевод пока недоступен