Eccentric motion around a schwarzschild black hole: Self-force calculations in the Regge-Wheeler-Zerillli formalism Seminar

Abstract
I consider eccentric orbits of a small body (or particle) about a
Schwarzschild black hole. The geodesic motion of the particle serves
to source the first-order field equations. These equations have typically
been solved in either the Lorenz or Regge-Wheeler-Zerilli gauge. The former
is advantageous because many self-force calculations (e.g., mode-sum
regularization) were originally formulated in the Lorenz gauge. The latter has
the advantage of being a more efficient gauge for solving the field
equations numerically.