A comparison of the Newtonian-normalised Detweiler redshift with the 21.5PN expression from Kavanagh et al. The redshift is plotted as a function of the gauge invariant radius, x = (MΩφ)2/3, hence the rightmost boundary of the plot is towards the central black hole horizon. We have labelled the innermost stable circular orbit (ISCO) at x = 1/6 to help illustrate this. Our (Newtonian-normalised) redshift data is shown by the top (blue) dots and the full 21.5PN expression is plotted as the solid (blue) curve. We subtract successive PN terms from the leading-order normalised redshift and compare these residuals to the residuals of the successive PN series.
A plot of the nonzero (conformal) BLS modes for ℓ=2 and m=2 throughout the spacetime that extends from the null-infinity (σ=0) to the horizon (σ=1). In this orbital configuration, the particle is located at σp=0.2. The field in Domain1, {D1}=[0,σp], is shown by the red curves, while the fields in Domain 2, {D2}=[σp,1], are shown by the blue curves.
5/ Key Results
I reconstruct Lorenz gauge metric perturbations by gauge-transforming from the Regge-Wheeler gauge. This method calculates metric perturbations throughout the spacetime efficiently. It also enables accurate computations of fluxes, the Detweiler redshift, and self-force corrections.