# NEB-19 Recent Developments in Gravity, Athens (Online)

20-23 September 2021
Europe/Athens timezone

## Computing EMRI using canonical perturbation theory

Not scheduled
20m
Oral presentation

### Speaker

Lukáš Polcar (Charles University)

### Description

We compute the extreme mass ratio inspiral in a system of a Schwarzschild black hole perturbed by an additional matter located far in the equatorial plane. First the geodesic equation is solved using an approximate transformation of our hamiltonian to the action-angle coordinates. The approximate solution is then expressed as a Fourier-like expansion which is subsequently inserted to the quadrupole formulas for gravitational wave fluxes. This allows us to adiabatically evolve the energy and angular momentum of the smaller body and extract the corresponding gravitational waveform.

### Primary author

Lukáš Polcar (Charles University)

### Presentation Materials

There are no materials yet.