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We present detailed results from performing general relativistic (GR)simulations of stellar core collapse to a proto-neutron star, using amicrophysical equation of state (EoS) as well as an approximate description ofdeleptonization during the collapse phase. We show that for a wide variety ofrotation rates and profiles the gravitational wave (GW) burst signals from thecore bounce are of a generic type, already known as Type I in the literature.In addition, for most models the characteristic frequency of the GW burstsignal lies in a narrow range around approximately 718 Hz. In our systematicstudy, using both GR and Newtonian gravity, we identify, individually quantify,and discuss in detail the micro- and macrophysical mechanisms leading to thisresult, i.e. the effects of rotation, the EoS, and deleptonization. We alsodiscuss the detectability prospects of such GW burst signals by GW detectors,and infer that such a generic type of signal templates will likely facilitate amore efficient search in current and future detectors of both interferometricand resonant type.

Generic Gravitational Wave Signals from the Collapse of Rotating Stellar Cores: A Detailed Analysis