Speaker: Kei Yamada (Kyoto University)

Abstract:

The first detection of gravitational waves (GWs) from merger of binary black hole by advanced LIGO has opened a new window to test general relativity. In the future, extreme-mass-ratio inspirals (EMRIs), in which stellar-mass compact objects of mass \mu spiral into a supermassive black holes of mass M, are expected to be observed by LISA.

Such systems can be expressed by using the BH perturbation approach, where we expand equations in the mass ratio \mu/M. However, in order to extract physical parameters from GW observations, the second-order perturbations must be considered.

In this talk, we will discuss boundary conditions for the second-order perturbations at the event horizon of the SMBH.