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Introduction to 3+1 Numerical Relativity
TLDR
The 3+1 formalism has been studied extensively in the literature as discussed by the authors, where the authors present a brief review of general Relativity and its applications in 3+ 1 languages.Abstract:
1. Brief Review of General Relativity 2. The 3+1 Formalism 3. Initial Data 4. Gauge Conditions 5. Hyperbolic Reductions of the Field Equations 6. Evolving Black Hole Spacetimes 7. Relativistic Hydrodynamics 8. Gravitational Wave Extraction 9. Numerical Methods 10. Examples of Numerical Spacetimes A. Total Mass and Momentum in General Relativity B. Spacetime Christoffel Symbols in 3+1 Language C. BSSNOK with Natural Conformal Rescaling D. Spin-weighted Spherical Harmonics References Indexread more
Citations
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The Einstein Toolkit: A Community Computational Infrastructure for Relativistic Astrophysics
Frank Löffler,Joshua A. Faber,Eloisa Bentivegna,Tanja Bode,Peter Diener,Roland Haas,Roland Haas,Ian Hinder,Bruno C. Mundim,Christian D. Ott,Christian D. Ott,Christian D. Ott,Erik Schnetter,Erik Schnetter,Erik Schnetter,Gabrielle Allen,Gabrielle Allen,Manuela Campanelli,Pablo Laguna +18 more
TL;DR: The Einstein Toolkit as mentioned in this paper is a community-driven, freely accessible computational infrastructure intended for use in numerical relativity, relativistic astrophysics, and other applications, which combines a core set of components needed to simulate astrophysical objects such as black holes, compact objects, and collapsing stars.
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Binary Neutron Star Mergers: A Review of Einstein's Richest Laboratory
Luca Baiotti,Luciano Rezzolla +1 more
TL;DR: The recent progress in understanding what could be considered Einstein's richest laboratory is reviewed, highlighting in particular the numerous significant advances of the last decade in models, techniques and results for fully general-relativistic dynamical simulations.
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Dynamical boson stars
TL;DR: This work discusses important varieties of boson stars, their dynamic properties, and some of their uses, concentrating on recent efforts.
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Relativistic fluid dynamics: physics for many different scales
Nils Andersson,G. L. Comer +1 more
TL;DR: The mathematical and theoretical physics underpinnings of the relativistic (multiple) fluid model are discussed, including the variational principle approach championed by Brandon Carter and his collaborators, in which a crucial element is to distinguish the momenta that are conjugate to particle number density currents.
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