# Overview

Radiation Boundary Conditions (RBC) for and Asymptotic Waveform Evaluation (AWE) from Gravitational Perturbations

Contributers.
• Principal: Scott Field and Stephen R. Lau
• Student: Alex G. Benedict
Support.
• NSF grant No. PHY 0855678
For details about radiation boundary kernels see the following reference (and references therein).
For details about asymptotic waveform evaluation (and teleportation) kernels see the following reference.
$$\ell=2$$ Regge-Wheeler RBC kernel for $$r_b=30M$$ and AWE kernels from $$r_1=30M$$ to $$r_2=2M(1\times 10^{-15})$$. Experiment documented in Section IIC of Fast evaluation of asymptotic waveforms from gravitational perturbations. The 19 pole extraction table has same pole locations as the 19 pole RBC table, but the 26 pole extraction table is more accurate. BFL_SectionIIC_DecayTails.tar.gz
RBC kernels for spin-2 Regge-Wheeler potential (tolerance $$\varepsilon = 10^{-15}$$ with $$2\leq \ell \leq 64$$ and $$r_b = 30M, 60M, 120M, 240M, 480M$$). Note, Heun is used here since the Regge-Wheeler equation is an incarnation of the singly confluent Heun equation. [format] TablesHeunRBC.tar.gz
RBC kernels for Zerilli potential (tolerance $$\varepsilon = 10^{-15}$$ with $$2\leq \ell \leq 64$$ and $$r_b = 30M, 60M, 120M, 240M, 480M$$). [format] TablesZerilliRBC.tar.gz
Coming eventually: AWE kernels for Regge-Wheeler potential (see also first entry for $$\ell = 2$$ AWE kernels) NA