Year: 2014
Type: article
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 ${E}_{\text{rad}}/M=(9.0\ifmmode\pm\else\textpm\fi{}0.5)\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}4}$ in five dimensions and ${E}_{\text{rad}}/M=(8.1\ifmmode\pm\else\textpm\fi{}0.4)\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}4}$ in six dimensions.
Institutions: University of Cambridge, University of Lisbon, Instituto Superior Técnico, Perimeter Institute, Istituto Nazionale di Fisica Nucleare, Sezione di Roma I, Sapienza University of Rome, University of Aveiro, Kyoto University, Yukawa Institute for Theoretical Physics, California Institute of Technology, University of Mississippi, Rochester Institute of Technology
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Funders: National Science Foundation, San Diego Supercomputer Center, Government of Canada, European Commission, Industry Canada, Ministero dello Sviluppo Economico, Yukawa Institute for Theoretical Physics, Kyoto University, Institut Périmètre de physique théorique, Science and Technology Facilities Council, European Research Council, FP7 People: Marie-Curie Actions
Awards: The dynamics of black holes: testing the limits of Einstein's theory, G1454515480, G165597396, G2752885018, G2840404975, G2895539744, Numerical Relativity and High Energy Physics, G3083174983, Connecting numerical simulations of black holes with experiment and observations, G4490303832, MRI: Acquisition of an Advanced Computing Cluster for General Relativistic Astrophysics, Computational Relativity and Gravitation at Petascale: Simulating and Visualizing Astrophysically Realistic Compact Binaries, The COSMOS Consortium: Fundamental Cosmology, Dark Energy and the Cosmic Microwave Sky, G5366298750, G5562923697, Exploring Extreme Black Hole Binaries, G580179132, G6138753802, Unveiling the Structure of the Universe, G6754173402, G7025899046, CDI-Type II: Collaborative Research: Computing Supermassive Black Hole Mergers in Astrophysics, The Structure of the Universe: Cosmology, Exoplanets and Lattice QCD, DiRAC SMP Facility: Revealing the Structure of the Universe, G8228471162, G8710606730, G8725048442, G906284381
OpenAlex ID: W2035242594
