Dirac fields on asymptotically flat space times:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2002
|
| Schriftenreihe: | Dissertationes mathematicae
408 |
| Schlagwörter: | |
| Links: | 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 |
| Umfang: | 85, III S. graph. Darst. |
Internformat
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 A 995-408 |
|---|---|
| DE-BY-TUM_katkey | 1351050 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020132543 |
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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 | 2025-02-26T09:01:03Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010186976 |
| oclc_num | 51170204 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-29T DE-12 DE-739 |
| owner_facet | DE-91G DE-BY-TUM DE-29T DE-12 DE-739 |
| 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 |
| 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 |
Inhaltsverzeichnis
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 A 995-408
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |