Turduckening black holes: An Analytical and computational study

By David Brown, Peter Diener, O. Sarbach, Erik Schnetter, Manuel Tiglio. 2008

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We provide a detailed analysis of several aspects of the turduckening technique for evolving black holes. At the analytical level we study the constraint propagation for a family of formulations of Einstein's field equations and identify under what conditions the turducken procedure is rigorously justified and under what conditions constraint violations will propagate to the outside of the black holes. We present high resolution spherically symmetric studies which verify our analytical predictions. Then we present three-dimensional simulations of single distorted black holes using different variations of the turduckening method and also the puncture method. We study the effect that these different methods have on the coordinate conditions, constraint violations, and extracted gravitational waves. We find that the waves agree up to small but nonvanishing differences, caused by escaping superluminal gauge modes. These differences become smaller with increasing detector location.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/372270dde88355f40de47c0d595cca267840ae77

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Citations in the corpus

Beyond second-order convergence in simulations of binary neutron stars in full general-relativity (2013, methodology): “…formulation of the Einstein equations (Nakamura et al. 1987; Shibata & Nakamura 1995; Baumgarte & Shapiro 1998) and it is performed using theMclachlan code of theEinstein Toolkit (Löffler et al. 2012; Brown et al. 2009; Schnetter et al. 2004) using a fourth-order accurate finite-difference scheme.”
The Einstein Toolkit: a community computational infrastructure for relativistic astrophysics (2011, methodology): “The Einstein Toolkit curvature evolution code McLachlan [148, 118] is auto-generated from tensor equations via Kranc (section 4.”
Dynamical Mass Ejection from Binary Neutron Star Mergers (2016, background): “…of the Einstein equations (Nakamura et al. 1987; Shibata & Nakamura 1995; Baumgarte & Shapiro 1999), us- MNRAS 000, 000–000 (0000) ing the Mclachlan code (Brown et al. 2009), which is part of the Einstein Toolkit (Löffler et al. 2012), and a fourthorder accurate finite-difference scheme.”
GRChombo: Numerical relativity with adaptive mesh refinement (2015, methodology): “One such implementation is the McLachlan/Kranc code [14, 15], which uses finite difference discretization and the Baumgarte-Shapiro–Shibata–Nakamura (BSSN) evolution scheme [16, 17].”