Black Hole Green’s Functions

Effective field theory in classical physics

Under construction.

Non-conservative classical mechanics

Under construction.

Reduced Basis for gravitational waves

The Reduced Basis (RB) method constructs a global basis that accurately represents a set of gravitational waveforms in a given range of parameter values (like binary masses and spins) using a relatively few number of nearly optimally chosen waveforms. More technically, the RB can be viewed as an application-specific hierarchical spectral expansion in parameter space. The RB method utilizes a so-called greedy algorithm to pick the waveforms that nearly optimize, in a precise mathematical sense, the error in representing any waveform by its projection onto the basis.

Black hole Green functions and caustic echoes

Under construction.

Introduction

(Description in progress)

Numerical approximations of black hole Green’s functions

(Description in progress)

Calculating self-force effects using numerical approximations of Green’s functions

(Description in progress)