Numerical relativity: solving Einstein's equations on the computer
Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical for...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2010
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300 exercises to help readers master new material as it is presented. Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations. Summary boxes encapsulate some of the most important results for quick reference. Applications covered include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and other topics of current physical and astrophysical significance |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xviii, 698 pages) |
| ISBN: | 9781139193344 |
| DOI: | 10.1017/CBO9781139193344 |
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Datensatz im Suchindex
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| author | Baumgarte, Thomas W. |
| author_facet | Baumgarte, Thomas W. |
| author_role | aut |
| author_sort | Baumgarte, Thomas W. |
| author_variant | t w b tw twb |
| building | Verbundindex |
| bvnumber | BV043944113 |
| classification_rvk | SK 900 UH 8300 |
| collection | ZDB-20-CBO |
| contents | General relativity preliminaries -- The 3 + 1 decomposition of Einstein's equations -- Constructing initial data -- Choosing coordinates : the lapse and shift -- Matter sources -- Numerical methods -- Locating black hole horizons -- Spherically symmetric spacetimes -- Gravitational waves -- Collapse of collisionless clusters in axisymmetry -- Recasting the evolution equations -- Binary black hole initial data -- Binary black hole evolution -- Rotating stars -- Binary neutron star initial data -- Binary neutron star evolution -- Binary black hole-neutron stars : initial data and evolution |
| ctrlnum | (ZDB-20-CBO)CR9781139193344 (OCoLC)852518615 (DE-599)BVBBV043944113 |
| dewey-full | 530.11 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.11 |
| dewey-search | 530.11 |
| dewey-sort | 3530.11 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9781139193344 |
| format | Electronic eBook |
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| isbn | 9781139193344 |
| language | English |
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| spelling | Baumgarte, Thomas W. Verfasser aut Numerical relativity solving Einstein's equations on the computer Thomas W. Baumgarte and Stuart L. Shapiro Cambridge Cambridge University Press 2010 1 online resource (xviii, 698 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) General relativity preliminaries -- The 3 + 1 decomposition of Einstein's equations -- Constructing initial data -- Choosing coordinates : the lapse and shift -- Matter sources -- Numerical methods -- Locating black hole horizons -- Spherically symmetric spacetimes -- Gravitational waves -- Collapse of collisionless clusters in axisymmetry -- Recasting the evolution equations -- Binary black hole initial data -- Binary black hole evolution -- Rotating stars -- Binary neutron star initial data -- Binary neutron star evolution -- Binary black hole-neutron stars : initial data and evolution Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300 exercises to help readers master new material as it is presented. Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations. Summary boxes encapsulate some of the most important results for quick reference. Applications covered include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and other topics of current physical and astrophysical significance General relativity (Physics) Einstein field equations Numerical calculations Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Einstein-Feldgleichungen (DE-588)4013941-4 gnd rswk-swf Einstein-Feldgleichungen (DE-588)4013941-4 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Allgemeine Relativitätstheorie (DE-588)4112491-1 s 1\p DE-604 Shapiro, Stuart L. 1947- Sonstige oth Erscheint auch als Druckausgabe 978-0-521-51407-1 https://doi.org/10.1017/CBO9781139193344 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Baumgarte, Thomas W. Numerical relativity solving Einstein's equations on the computer General relativity preliminaries -- The 3 + 1 decomposition of Einstein's equations -- Constructing initial data -- Choosing coordinates : the lapse and shift -- Matter sources -- Numerical methods -- Locating black hole horizons -- Spherically symmetric spacetimes -- Gravitational waves -- Collapse of collisionless clusters in axisymmetry -- Recasting the evolution equations -- Binary black hole initial data -- Binary black hole evolution -- Rotating stars -- Binary neutron star initial data -- Binary neutron star evolution -- Binary black hole-neutron stars : initial data and evolution General relativity (Physics) Einstein field equations Numerical calculations Numerisches Verfahren (DE-588)4128130-5 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Einstein-Feldgleichungen (DE-588)4013941-4 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4112491-1 (DE-588)4013941-4 |
| title | Numerical relativity solving Einstein's equations on the computer |
| title_auth | Numerical relativity solving Einstein's equations on the computer |
| title_exact_search | Numerical relativity solving Einstein's equations on the computer |
| title_full | Numerical relativity solving Einstein's equations on the computer Thomas W. Baumgarte and Stuart L. Shapiro |
| title_fullStr | Numerical relativity solving Einstein's equations on the computer Thomas W. Baumgarte and Stuart L. Shapiro |
| title_full_unstemmed | Numerical relativity solving Einstein's equations on the computer Thomas W. Baumgarte and Stuart L. Shapiro |
| title_short | Numerical relativity |
| title_sort | numerical relativity solving einstein s equations on the computer |
| title_sub | solving Einstein's equations on the computer |
| topic | General relativity (Physics) Einstein field equations Numerical calculations Numerisches Verfahren (DE-588)4128130-5 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Einstein-Feldgleichungen (DE-588)4013941-4 gnd |
| topic_facet | General relativity (Physics) Einstein field equations Numerical calculations Numerisches Verfahren Allgemeine Relativitätstheorie Einstein-Feldgleichungen |
| url | https://doi.org/10.1017/CBO9781139193344 |
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