Null Infinity Waveforms from Extreme-Mass-Ratio Inspirals in Kerr Spacetime

Creators: Zenginoğlu, Anıl; Khanna, Gaurav

Abstract

We describe the hyperboloidal compactification for Teukolsky equations in Kerr spacetime. We include null infinity on the numerical grid by attaching a hyperboloidal layer to a compact domain surrounding the rotating black hole and the orbit of an inspiralling point particle. This technique allows us to study, for the first time, gravitational waveforms from large- and extreme-mass-ratio inspirals in Kerr spacetime extracted at null infinity. Tests and comparisons of our results with previous calculations establish the accuracy and efficiency of the hyperboloidal layer method.

Additional Information

© 2012 Published by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Received 8 August 2011; published 9 December 2011. A. Z. thanks Sebastiano Bernuzzi, Michael Jasiulek, Alessandro Nagar, and Sigal Gottlieb for discussions. A. Z. is supported by the NSF Grant No. PHY-1068881, and by a Sherman Fairchild Foundation grant to Caltech in Pasadena. G. K. acknowledges research support from NSF Grants No. PHY-0902026, No. CNS-0959382, No. PHY-1016906, and No. PHY-1135664, and AFOSR DURIP Grant No. FA9550-10-1-0354. Some of the data presented in this work was generated on the Air Force Research Laboratory CONDOR supercomputer. G.K. also acknowledges support from AFRL under CRADA No. 10-RI-CRADA-09.

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