3+1 formalism in general relativity : bases of numerical relativity
This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliatio...
保存先:
| 第一著者: | |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2012. |
| シリーズ: | Lecture Notes in Physics
846 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • 3+1 formalism in general relativity, bases of numerical relativity, Éric Gourgoulhon, 2012, Berlin, Springer, 1 vol. (xvii-294 p.), Lecture notes in physics, 978-3-642-24524-4 • 3+1 formalism in general relativity, bases of numerical relativity, Éric Gourgoulhon, 2012, Berlin, Springer, 1 vol. (xvii-294 p.), Lecture notes in physics, 978-3-642-24524-4 • 3+1 Formalism in General Relativity, Texte imprimé, 9783642245268 |
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| 100 | 1 | |a Gourgoulhon, Éric, |d 19..- | |
| 245 | 1 | 0 | |a 3+1 formalism in general relativity : |b bases of numerical relativity |c Éric Gourgoulhon. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Physics |v 846 |x 1616-6361 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Basic Differential Geometry Geometry of Hypersurfaces Geometry of Foliations 3+1 decomposition of Einstein Equation 3+1 Equations for Matter and Electromagnetic Field Conformal Decompositon Asymptotic Flatness and Global Quantities The Initial Data Problem Choice of Foliation and Spatial Coordiinates Evolution Schemes Conformal Killing Operator and Conformal Vector Laplacian Sage Codes | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations, giving rise to the Cauchy problem with constraints, which constitutes the core of 3+1 formalism. The ADM Hamiltonian formulation of general relativity is also introduced at this stage. Finally, the decomposition of the matter and electromagnetic field equations is presented, focusing on the astrophysically relevant cases of a perfect fluid and a perfect conductor (ideal magnetohydrodynamics). The second part of the book introduces more advanced topics: the conformal transformation of the 3-metric on each hypersurface and the corresponding rewriting of the 3+1 Einstein equations, the Isenberg-Wilson-Mathews approximation to general relativity, global quantities associated with asymptotic flatness (ADM mass, linear and angular momentum) and with symmetries (Komar mass and angular momentum). In the last part, the initial data problem is studied, the choice of spacetime coordinates within the 3+1 framework is discussed and various schemes for the time integration of the 3+1 Einstein equations are reviewed. The prerequisites are those of a basic general relativity course with calculations and derivations presented in detail, making this text complete and self-contained. Numerical techniques are not covered in this book | ||
| 650 | |a Relativité générale (physique) | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Décomposition (mathématiques) | ||
| 776 | 0 | |0 16041802X |t 3+1 formalism in general relativity |o bases of numerical relativity |f Éric Gourgoulhon |d 2012 |c Berlin |n Springer |p 1 vol. (xvii-294 p.) |s Lecture notes in physics |z 978-3-642-24524-4 | |
| 776 | 0 | |0 16041802X |t 3+1 formalism in general relativity |o bases of numerical relativity |f Éric Gourgoulhon |d 2012 |c Berlin |n Springer |p 1 vol. (xvii-294 p.) |s Lecture notes in physics |z 978-3-642-24524-4 | |
| 776 | 0 | |t 3+1 Formalism in General Relativity |b Texte imprimé |z 9783642245268 | |
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