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New Formalism for Numerical Relativity [PDF]
Physical Review Letters, 1995 uucompresed PS file. 4 pages including 1 figure. Revised version adds a figure showing a comparison between the standard ADM approach and the new formulation. Also available at http://jean-luc.ncsa.uiuc.edu/Papers/ Appeared in Physical Review Letters 75, 600 (1995)
Bona, Carles +3 more
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VISTAS IN NUMERICAL RELATIVITY [PDF]
Black Hole Astrophysics 2002, 2002 Upcoming gravitational wave-experiments promise a window for discovering new physics in astronomy. Detection sensitivity of the broadband laser interferometric detectors LIGO/VIRGO may be enhanced by matched filtering with accurate wave-form templates. Where analytic methods break down, we have to resort to numerical relativity, often in Hamiltonian or
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Numerical relativity and compact binaries [PDF]
Physics Reports, 2003 122 pages, 19 figures; review article to appear in Physics ...
Baumgarte, Thomas W., Shapiro, Stuart L.
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Lattice Boltzmann model for numerical relativity [PDF]
Physical Review E, 2016 In the Bona-Masso formulation, Einstein equations are written as a set of flux conservative first order hyperbolic equations that resemble fluid dynamics equations. Based on this formulation, we construct a lattice Boltzmann model for Numerical Relativity.
Ilseven, E., Mendoza, M.
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A Radiation Scalar for Numerical Relativity [PDF]
Physical Review Letters, 2002 This letter describes a scalar curvature invariant for general relativity with a certain, distinctive feature. While many such invariants exist, this one vanishes in regions of space-time which can be said unambiguously to contain no gravitational radiation.
Beetle, Christopher, Burko, Lior M.
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The 3+1 formalism in teleparallel and symmetric teleparallel gravity
European Physical Journal C: Particles and Fields, 2021 Teleparallel and symmetric teleparallel gravity offer platforms in which gravity can be formulated in interesting geometric approaches, respectively given by torsion and nonmetricity. In this vein, general relativity can be expressed in three dynamically
Salvatore Capozziello +3 more
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Towards standard testbeds for numerical relativity [PDF]
Classical and Quantum Gravity, 2003 In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community for decades. Some of these approaches have been tested on different spacetimes, and conclusions have been drawn based on these tests. However, differences
Alcubierre, Miguel +20 more
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A Brief Overview of Black Hole-Neutron Star Mergers
Frontiers in Astronomy and Space Sciences, 2020 Of the three main types of binaries detectable through ground-based gravitational wave observations, black hole-neutron star (BHNS) mergers remain the most elusive.
Francois Foucart
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Universe, 2021 Ringdown gravitational waves of compact object binaries observed by ground-based gravitational-wave detectors encapsulate rich information to understand remnant objects after the merger and to test general relativity in the strong field. In this work, we
Norichika Sago +2 more
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Linear Algebra and its Applications, 2015 Let \(H\) be a separable complex Hilbert space and let \(B(H)\) be the Banach algebra of all bounded linear operators on \(H\). The numerical range of \(S\in B(H)\) is the set \(W(S)=\left\{(Sx,x):\; ||x||\; =1\right\}\). It is known that the spectrum \(\sigma (S)\) of \(S\) is contained in \(W(S)\). In this paper, the authors define a more general set,
Bracic, J., Diogo, C.
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