Seminarium Teorii Względności i Grawitacji

Gravitational-wave observations of compact binary coalescences provide a unique opportunity to test the nature of compact objects and probe strong-field gravity. One such test is the spin-induced quadrupole moment (SIQM) test, which probes the spin-induced deformations of compact objects encoded in the gravitational-wave signal. These deformations are characterized by the dimensionless parameter κ=1 for black holes, while other exotic compact objects may exhibit different values. While previous studies have primarily focused on quasi-circular binaries, we extend this test to eccentric systems using a Fisher-matrix–based analysis. In this talk, I will first briefly review the theoretical foundations of gravitational-wave emission from compact binaries and their connection to data-analysis methods used in current detectors. I will then present preliminary Fisher analysis results for eccentric spinning waveforms, in particular the SpinTaylorF2Ecc model that incorporates both spin and eccentricity effects. Finally, I will discuss Bayesian analysis results for the gravitational-wave event GW241011, for which the SIQM test has been performed using circular waveform models.