Single-domain spectral method for black hole puncture data

By M. Ansorg, B. Bruegmann, Wolfgang Tichy. 2004

247 citations recorded by the source corpus.

We calculate puncture initial data corresponding to both single and binary black hole solutions of the constraint equations by means of a pseudospectral method applied in a single spatial domain. Introducing appropriate coordinates, these methods exhibit rapid convergence of the conformal factor and lead to highly accurate solutions. As an application we investigate small mass ratios of binary black holes and compare these with the corresponding test mass limit that we obtain through a semianalytical limiting procedure. In particular, we compare the binding energy of puncture data in this limit with that of a test particle in the Schwarzschild spacetime and find that it deviates by 50% from the Schwarzschild result at the innermost stable circular orbit of Schwarzschild, if the ADM mass at each puncture is used to define the local black hole masses.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/cea5607c4f1c41aea1d8678411164db019bcd6bf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Turduckening black holes: An Analytical and computational study (2008, methodology): “We use single puncture initial data with a Bowen-York extrinsic curvature [45].”
Gravitational Recoil from Spinning Binary Black Hole Mergers (2007, methodology): “We use the spectral code developed by Ansorg et al. (2004) to solve these constraints.”
Unequal mass binary black hole plunges and gravitational recoil (2006, methodology): “The initial data sets are constructed via the puncture method using a spectral code [19, 20].”
GRChombo: Numerical relativity with adaptive mesh refinement (2015, methodology): “Initial data is constructed either analytically or numerically by employing the TwoPunctures spectral solver [77].”
The Einstein Toolkit: a community computational infrastructure for relativistic astrophysics (2011, methodology): “One example is the TwoPunctures module [134]—commonly used in numerical relativity to generate BH–BH binary initial data—which makes use of the GNU scientific library [135, 136].”
Large Merger Recoils and Spin Flips from Generic Black Hole Binaries (2007, methodology): “We thank Marcus Ansorg for providing the TwoPunctures initial data thorn and Johnathan Thornburg for providing AHFinderDirect.”