Dirac fields on asymptotically flat space times:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2002
|
| Schriftenreihe: | Dissertationes mathematicae
408 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 85, III S. graph. Darst. |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | Titel: Dirac fields on asymptotically flat space times
Autor: Nicolas, Jean-Philippe
Jahr: 2002
CONTENTS
1. Introduction......................................................................................................................................................5
2. Geometrical and functional framework..................................................................................................10
2.1. Notations..................................................................................................................................................10
2.2. The principles of the 3-1-1 decomposition........1....................................................................11
2.3. Classes of asymptotically flat space-times....................................................................................13
3. Dirac fields on globally hyperbolic space-times....................................................................................16
3.1. The Dirac and Weyl equations..........................................................................................................16
3.2. 3-1-1 decomposition of the equation..................................................................................................20
4. The general Cauchy problem......................................................................................................................26
5. The case of the Schwarzschild geometry................................................................................................41
5.1. The exterior of the black hole............................................................................................................42
5.1.1. The spacelike geometry of the exterior of the black hole............................................42
5.1.2. The global exterior Cauchy problem..................................................................................46
5.2. Maximal extension of Schwarzschild s space-time......................................................................52
5.2.1. Kruskal-Szekeres coordinates................................................................................................53
5.2.2. Maximal Schwarzschild space-time......................................................................................54
6. Dirac s equation on the Kerr metric........................................................................................................57
6.1. The exterior of the black hole............................................................................................................58
6.1.1. The spacelike geometry of block 1........................................................................................59
6.1.2. The global exterior Cauchy problem..................................................................................65
6.2. Maximal extension of Kerr s space-time........................................................................................70
6.2.1. Kerr-star and star-Kerr coordinates....................................................................................70
6.2.2. Maximal slow Kerr space-time..............................................................................................74
7. Concluding remarks........................................................................................................................................75
Appendix A. A choice of spin-frame and the expression of the time connection terms in
Kerr and Schwarzschild geometries..........................................................................................................76
A.l. A choice of spin-frame........................................................................................................................77
A.2. The timelike connection terms..........................................................................................................78
A.3. Explicit expressions in the Schwarzschild case..........................................................................79
Appendix B. An expression of the Dirac equation outside a Kerr black hole................................80
Bibliography..........................................................................................................................................................82
2000 Mathematics Subject Classification: 35Q75, 35L40, 35L45, 83C57, 83C60.
Received 9.7.2001.
|
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| author | Nicolas, Jean-Philippe |
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| id | DE-604.BV016477317 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:10:58Z |
| institution | BVB |
| language | English |
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| oclc_num | 51170204 |
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| owner | DE-91G DE-BY-TUM DE-29T DE-12 DE-739 DE-703 |
| owner_facet | DE-91G DE-BY-TUM DE-29T DE-12 DE-739 DE-703 |
| physical | 85, III S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Nicolas, Jean-Philippe Verfasser aut Dirac fields on asymptotically flat space times J.-P. Nicolas Warszawa Polska Akad. Nauk, Inst. Matematyczny 2002 85, III S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 408 Mathematisches Modell Black holes (Astronomy) Mathematical models Cauchy problem Dirac equation Sobolev spaces Space and time Mathematical models Dissertationes mathematicae 408 (DE-604)BV000003039 408 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010186976&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nicolas, Jean-Philippe Dirac fields on asymptotically flat space times Dissertationes mathematicae Mathematisches Modell Black holes (Astronomy) Mathematical models Cauchy problem Dirac equation Sobolev spaces Space and time Mathematical models |
| title | Dirac fields on asymptotically flat space times |
| title_auth | Dirac fields on asymptotically flat space times |
| title_exact_search | Dirac fields on asymptotically flat space times |
| title_full | Dirac fields on asymptotically flat space times J.-P. Nicolas |
| title_fullStr | Dirac fields on asymptotically flat space times J.-P. Nicolas |
| title_full_unstemmed | Dirac fields on asymptotically flat space times J.-P. Nicolas |
| title_short | Dirac fields on asymptotically flat space times |
| title_sort | dirac fields on asymptotically flat space times |
| topic | Mathematisches Modell Black holes (Astronomy) Mathematical models Cauchy problem Dirac equation Sobolev spaces Space and time Mathematical models |
| topic_facet | Mathematisches Modell Black holes (Astronomy) Mathematical models Cauchy problem Dirac equation Sobolev spaces Space and time Mathematical models |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010186976&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
| work_keys_str_mv | AT nicolasjeanphilippe diracfieldsonasymptoticallyflatspacetimes |