Higher dimensional numerical relativity: Code comparison

Helvi Witek, Hirotada Okawa, Vitor Cardoso, Leonardo Gualtieri, Carlos Herdeiro, Masaru Shibata, Ulrich Sperhake, Miguel Zilhão

Research output: Contribution to journalArticlepeer-review


The nonlinear behavior of higher dimensional black hole spacetimes is of interest in several contexts, ranging from an understanding of cosmic censorship to black hole production in high-energy collisions. However, nonlinear numerical evolutions of higher dimensional black hole spacetimes are tremendously complex, involving different diagnostic tools and "dimensional reduction methods." In this work we compare two different successful codes to evolve Einstein's equations in higher dimensions, and show that the results of such different procedures agree to numerical precision, when applied to the collision from rest of two equal-mass black holes. We calculate the total radiated energy to be Erad/M=(9.0±0.5)×10-4 in five dimensions and Erad/M=(8.1±0.4)×10-4 in six dimensions.

Original languageEnglish (US)
Article number084014
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number8
StatePublished - Oct 10 2014
Externally publishedYes

ASJC Scopus subject areas

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


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