@inproceedings{3083033, title = "Axisymmetric modes of differentially rotating neutron stars", author = "Apostolatos, TA and Stergioulas, N and Font, JA", year = "2003", pages = "190-194", publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD", booktitle = "RECENT DEVELOPMENTS IN GRAVITY", doi = "10.1142/9789812791238_0024", abstract = "We investigate the effect of differential rotation on the axisymmetric modes of relativistic stars. A Newtonian uniformly rotating white dwarf is assumed to be the progenitor of a neutron star. Based on the distribution of angular momentum inside the star, we construct differential rotation laws for the corresponding neutron stars which arise from the collapse of the white dwarfs and we use them as models of newly born neutron stars to compute the frequencies of several axisymmetric modes. The mode-extraction is done via 2D nonlinear hydrodynamical evolutions in the Cowling approximation." }