General Relativity:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2013
|
| Ausgabe: | 2nd ed. 2013 |
| Schriftenreihe: | Graduate Texts in Physics
|
| Schlagworte: | |
| Online-Zugang: | TUM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | From the Contents: Part I The General Theory of Relativity -- Introduction -- Physics in External Gravitational Fields -- Einstein’s Field Equations -- Part II Applications of General Relativity -- The Schwarzschild Solution and Classical Tests of General Relativity.- Weak Gravitational Fields -- The Post-Newtonian Approximation -- White Dwarfs and Neutron Stars -- Black Holes -- The Positive Mass Theorem -- Essentials of Friedmann-Lemaˆıtre Models -- Part III Differential Geometry -- Differentiable Manifolds -- Tangent Vectors, Vector and Tensor Fields -- The Lie Derivative -- Differential Forms -- Affine Connections -- Some Details and Supplements. This book provides a completely revised and expanded version of the previous classic edition ‘General Relativity and Relativistic Astrophysics’. In Part I the foundations of general relativity are thoroughly developed, while Part II is devoted to tests of general relativity and many of its applications. Binary pulsars – our best laboratories for general relativity – are studied in considerable detail. An introduction to gravitational lensing theory is included as well, so as to make the current literature on the subject accessible to readers. Considerable attention is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel’s proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten’s proof of the positive energy theorem, which is presented in detail, together with the required tools on spin structures and spinor analysis. In Part III, all of the differential geometric tools required are developed in detail. A great deal of effort went into refining and improving the text for the new edition. New material has been added, including a chapter on cosmology. The book addresses undergraduate and graduate students in physics, astrophysics and mathematics. It utilizes a very well structured approach, which should help it continue to be a standard work for a modern treatment of gravitational physics. The clear presentation of differential geometry also makes it useful for work on string theory and other fields of physics, classical as well as quantum. |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9789400754102 |
| DOI: | 10.1007/978-94-007-5410-2 |
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Datensatz im Suchindex
| _version_ | 1804150074989608960 |
|---|---|
| adam_text | GENERAL RELATIVITY
/ STRAUMANN, NORBERT
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FROM THE CONTENTS: PART I THE GENERAL THEORY OF RELATIVITY
INTRODUCTION
PHYSICS IN EXTERNAL GRAVITATIONAL FIELDS
EINSTEIN’S FIELD EQUATIONS
PART II APPLICATIONS OF GENERAL RELATIVITY
THE SCHWARZSCHILD SOLUTION AND CLASSICAL TESTS OF GENERAL
RELATIVITY.-WEAK GRAVITATIONAL FIELDS
THE POST-NEWTONIAN APPROXIMATION
WHITE DWARFS AND NEUTRON STARS
BLACK HOLES
THE POSITIVE MASS THEOREM
ESSENTIALS OF FRIEDMANN-LEMAˆITRE MODELS
PART III DIFFERENTIAL GEOMETRY
DIFFERENTIABLE MANIFOLDS
TANGENT VECTORS, VECTOR AND TENSOR FIELDS
THE LIE DERIVATIVE
DIFFERENTIAL FORMS
AFFINE CONNECTIONS
SOME DETAILS AND SUPPLEMENTS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
GENERAL RELATIVITY
/ STRAUMANN, NORBERT
: 2013
ABSTRACT / INHALTSTEXT
THIS BOOK PROVIDES A COMPLETELY REVISED AND EXPANDED VERSION OF THE
PREVIOUS CLASSIC EDITION ‘GENERAL RELATIVITY AND RELATIVISTIC
ASTROPHYSICS’. IN PART I THE FOUNDATIONS OF GENERAL RELATIVITY ARE
THOROUGHLY DEVELOPED, WHILE PART II IS DEVOTED TO TESTS OF GENERAL
RELATIVITY AND MANY OF ITS APPLICATIONS. BINARY PULSARS – OUR BEST
LABORATORIES FOR GENERAL RELATIVITY – ARE STUDIED IN CONSIDERABLE
DETAIL. AN INTRODUCTION TO GRAVITATIONAL LENSING THEORY IS INCLUDED AS
WELL, SO AS TO MAKE THE CURRENT LITERATURE ON THE SUBJECT ACCESSIBLE TO
READERS. CONSIDERABLE ATTENTION IS DEVOTED TO THE STUDY OF COMPACT
OBJECTS, ESPECIALLY TO BLACK HOLES. THIS INCLUDES A DETAILED DERIVATION
OF THE KERR SOLUTION, ISRAEL’S PROOF OF HIS UNIQUENESS THEOREM, AND A
DERIVATION OF THE BASIC LAWS OF BLACK HOLE PHYSICS. PART II ENDS WITH
WITTEN’S PROOF OF THE POSITIVE ENERGY THEOREM, WHICH IS PRESENTED IN
DETAIL, TOGETHER WITH THE REQUIRED TOOLS ON SPIN STRUCTURES AND SPINOR
ANALYSIS. IN PART III, ALL OF THE DIFFERENTIAL GEOMETRIC TOOLS REQUIRED
ARE DEVELOPED IN DETAIL. A GREAT DEAL OF EFFORT WENT INTO REFINING AND
IMPROVING THE TEXT FOR THE NEW EDITION. NEW MATERIAL HAS BEEN ADDED,
INCLUDING A CHAPTER ON COSMOLOGY. THE BOOK ADDRESSES UNDERGRADUATE AND
GRADUATE STUDENTS IN PHYSICS, ASTROPHYSICS AND MATHEMATICS. IT UTILIZES
A VERY WELL STRUCTURED APPROACH, WHICH SHOULD HELP IT CONTINUE TO BE A
STANDARD WORK FOR A MODERN TREATMENT OF GRAVITATIONAL PHYSICS. THE CLEAR
PRESENTATION OF DIFFERENTIAL GEOMETRY ALSO MAKES IT USEFUL FOR WORK ON
STRING THEORY AND OTHER FIELDS OF PHYSICS, CLASSICAL AS WELL AS QUANTUM
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| spelling | General Relativity by Norbert Straumann 2nd ed. 2013 Dordrecht Springer Netherlands 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Physics From the Contents: Part I The General Theory of Relativity -- Introduction -- Physics in External Gravitational Fields -- Einstein’s Field Equations -- Part II Applications of General Relativity -- The Schwarzschild Solution and Classical Tests of General Relativity.- Weak Gravitational Fields -- The Post-Newtonian Approximation -- White Dwarfs and Neutron Stars -- Black Holes -- The Positive Mass Theorem -- Essentials of Friedmann-Lemaˆıtre Models -- Part III Differential Geometry -- Differentiable Manifolds -- Tangent Vectors, Vector and Tensor Fields -- The Lie Derivative -- Differential Forms -- Affine Connections -- Some Details and Supplements. This book provides a completely revised and expanded version of the previous classic edition ‘General Relativity and Relativistic Astrophysics’. In Part I the foundations of general relativity are thoroughly developed, while Part II is devoted to tests of general relativity and many of its applications. Binary pulsars – our best laboratories for general relativity – are studied in considerable detail. An introduction to gravitational lensing theory is included as well, so as to make the current literature on the subject accessible to readers. Considerable attention is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel’s proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten’s proof of the positive energy theorem, which is presented in detail, together with the required tools on spin structures and spinor analysis. In Part III, all of the differential geometric tools required are developed in detail. A great deal of effort went into refining and improving the text for the new edition. New material has been added, including a chapter on cosmology. The book addresses undergraduate and graduate students in physics, astrophysics and mathematics. It utilizes a very well structured approach, which should help it continue to be a standard work for a modern treatment of gravitational physics. The clear presentation of differential geometry also makes it useful for work on string theory and other fields of physics, classical as well as quantum. Physics Astronomy Classical and Quantum Gravitation, Relativity Theory Astronomy, Astrophysics and Cosmology Mathematical Physics History and Philosophical Foundations of Physics Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Relativistische Astrophysik (DE-588)4121581-3 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 s Relativistische Astrophysik (DE-588)4121581-3 s 1\p DE-604 Straumann, Norbert Sonstige oth https://doi.org/10.1007/978-94-007-5410-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025731224&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025731224&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | General Relativity Physics Astronomy Classical and Quantum Gravitation, Relativity Theory Astronomy, Astrophysics and Cosmology Mathematical Physics History and Philosophical Foundations of Physics Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Relativistische Astrophysik (DE-588)4121581-3 gnd |
| subject_GND | (DE-588)4112491-1 (DE-588)4121581-3 |
| title | General Relativity |
| title_auth | General Relativity |
| title_exact_search | General Relativity |
| title_full | General Relativity by Norbert Straumann |
| title_fullStr | General Relativity by Norbert Straumann |
| title_full_unstemmed | General Relativity by Norbert Straumann |
| title_short | General Relativity |
| title_sort | general relativity |
| topic | Physics Astronomy Classical and Quantum Gravitation, Relativity Theory Astronomy, Astrophysics and Cosmology Mathematical Physics History and Philosophical Foundations of Physics Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Relativistische Astrophysik (DE-588)4121581-3 gnd |
| topic_facet | Physics Astronomy Classical and Quantum Gravitation, Relativity Theory Astronomy, Astrophysics and Cosmology Mathematical Physics History and Philosophical Foundations of Physics Allgemeine Relativitätstheorie Relativistische Astrophysik |
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