Fundamental modes of rotating neutron stars with various degrees of differential rotation in dynamical spacetimes

sponsorship: We acknowledge the support of the CUHK Central High-Performance Computing Cluster, on which the simulations in this work have been performed. This work was partially supported by grants from the Research Grants Council of Hong Kong (Project No. CUHK 14306419), the Croucher Innovation Award No. 6904772 from the Croucher Foundation Hong Kong, and the Direct Grant for Research from the Research Committee of The Chinese University of Hong Kong. P. C.-K. C. acknowledges support from NSF Grant No. PHY-2020275 [Network for Neutrinos, Nuclear Astrophysics, and Symmetries (N3AS)]. (CUHK Central High-Performance Computing Cluster, Research Grants Council of Hong Kong|CUHK 14306419, Croucher Foundation Hong Kong|6904772, Direct Grant for Research from the Research Committee of The Chinese University of Hong Kong, NSF|PHY-2020275)