Numerical Relativity: Solving Einstein's Equations on the Computer

By T. Baumgarte, Stuart L. Shapiro. 2010

423 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/c3e390fcb50f1ffb4c0d8d2d1519cf725b3c0663

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Citations in the corpus

• The Einstein Toolkit: a community computational infrastructure for relativistic astrophysics (2011, methodology): “ hydrodynamics, including the underlying dierential geometry and tensor analysis. Detailed introductions to numerical relativity have recently been given by Alcubierre [120], Baumgarte & Shapiro [121], and Centrella et al. [122]. GR hydrodynamics has been reviewed by Font [40]. We set G= c= 1 th”
• The 1965 Penrose singularity theorem (2014, background): “OTS can also be searched for in numerical evolutions of collapsing solutions [192, 298]. Indeed, the presence of OTS on spatial slices is the signal used in numerical relativity to detect black holes [14]. One also has to take care with (M)OTS when devicing initial data sets [323]. In [175] two vers”
• Extreme gravity tests with gravitational waves from compact binary coalescences: (I) inspiral–merger (2018, background): “A stable evolution of binary black holes and neutron stars in numerical relativity requires an understanding of many complex issues, such as the well-posedness of the evolution system, the construction of initial data and gauge conditions [285].”
• Dynamical boson stars (2012, unknown): “It is therefore more intuitive to instead consider a succession of spacetime geometries, where the evolution of a given slice is given by the Einstein equations (for more detailed treatments see [9, 34, 50, 167]).”
• Gravitational waves from neutron star mergers and their relation to the nuclear equation of state (2019, background): “sical information, gauges play an important role in numerical stability, for example in countering grid stretching. For explanations on all these issues, well-written textbooks are nowadays available [98, 99, 100, 101, 102]. Despite such diculties, nowadays the number of research groups with their o”
• GRChombo: Numerical relativity with adaptive mesh refinement (2015, methodology): “(2.34) into two first order variables φ and Π M We note that our Π M is negative of Π in some references, e.g. [34].”