Theoretical Models for Binary Systems in Einstein Scalar Gauss-Bonnet Gravity

Explore a comprehensive lecture by Tanja Hinderer from Utrecht University on theoretical models for binary systems in gravitational wave astronomy. Delve into the essential role of these models and the approximate flow of information during the inspiral phase. Examine a case study on Einstein scalar Gauss-Bonnet (EsGB) gravity, focusing on the features of EsGB black holes and binary dynamics. Investigate the matching of tidal coefficients via scattering and the concept of dipolar scalar Love numbers for black holes with scalar condensates. Analyze approximate solutions for radiation, including tidal and Gauss-Bonnet curvature effects. Consider the size of the transition regime and discuss prospects for multi-band gravitational wave astronomy. Conclude by examining the tidal response in terms of scattering amplitudes, providing a thorough understanding of advanced concepts in gravitational wave theory and binary system modeling.

Overview
Main references
The essential role of theoretical models for binaries
Approximate flow of information during the inspiral
Case study: Einstein scalar Gauss-Bonnet (EsGB) gravity
Features of EsGB black holes
Binary dynamics: orbital-scale description of the system
Matching the tidal coefficients via scattering
BHs with scalar condensates: dipolar scalar Love number
Approximate solutions for the radiation
Tidal and GB curvature effects
Caveat: size of the transition regime
Prospects with multi-band GW astronomy
Tidal response in terms of scattering amplitudes