Evolution of near-extremal-spin black holes using the moving puncture technique

Yuk Tung Liu, Zachariah B. Etienne, Stuart L. Shapiro

Research output: Contribution to journalArticle


We propose a new radial coordinate to write the Kerr metric in puncture form. Unlike the quasiradial coordinate introduced previously, the horizon radius remains finite in our radial coordinate in the extreme Kerr limit a/M→1. This significantly improves the accuracy of the evolution of black holes with spins close to the extreme Kerr limit. We are able to evolve accurately both stationary and boosted black holes with spins as high as a/M=0.99 using initial data constructed in these new puncture coordinates. Initial data of compact binaries with rapidly spinning black holes can be constructed using our proposed new puncture metric for the background conformal metric. Our simulations for single black holes suggest that such initial data can be evolved successfully by the moving puncture technique.

Original languageEnglish (US)
Article number121503
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number12
StatePublished - Dec 30 2009

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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