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 journalArticle

12 Citations (Scopus)

Abstract

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
Article number084014
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume90
Issue number8
DOIs
Publication statusPublished - 2014 Oct 10

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ASJC Scopus subject areas

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

Cite this

Witek, H., Okawa, H., Cardoso, V., Gualtieri, L., Herdeiro, C., Shibata, M., Sperhake, U., & Zilhão, M. (2014). Higher dimensional numerical relativity: Code comparison. Physical Review D - Particles, Fields, Gravitation and Cosmology, 90(8), [084014]. https://doi.org/10.1103/PhysRevD.90.084014