Gravity, a geometrical course: Volume 1: Development of the theory and basic physical applications
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2013
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| Schlagworte: | |
| Online-Zugang: | TUM01 UBT01 Volltext |
| Beschreibung: | 1 Online-Ressource (XVIII, 336 Seiten) |
| ISBN: | 9789400753617 |
| DOI: | 10.1007/978-94-007-5361-7 |
Internformat
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| 505 | 8 | |a Acknowledgement -- Preface -- Special Relativity: setting the stage.- Manifolds and fibre bundles -- Connections and Metrics -- Motion in the Schwarzschild Field -- Einstein versus Yang Mills Field Equations -- Stellar Equilibrium -- Gravitational Waves and the Binary Pulsars -- Conclusion of volume 1 -- Appendix A: Spinors and Gamma Matrix Algebra -- Appendix B: Mathematica Packages -- Index | |
| 505 | 8 | |a 'Gravity, a Geometrical Course' presents general relativity (GR) in a systematic and exhaustive way, covering three aspects that are homogenized into a single texture: i) the mathematical, geometrical foundations, exposed in a self consistent contemporary formalism, ii) the main physical, astrophysical and cosmological applications, updated to the issues of contemporary research and observations, with glimpses on supergravity and superstring theory, iii) the historical development of scientific ideas underlying both the birth of general relativity and its subsequent evolution. The book is divided in two volumes. Volume One is dedicated to the development of the theory and basic physical applications. It guides the reader from the foundation of special relativity to Einstein field equations, illustrating some basic applications in astrophysics. A detailed account of the historical and conceptual development of the theory is combined with the presentation of its mathematical foundations. Differentiable manifolds, fibre-bundles, differential forms, and the theory of connections are covered, with a sketchy introduction to homology and cohomology. (Pseudo)-Riemannian geometry is presented both in the metric and in the vielbein approach. Physical applications include the motions in a Schwarzschild field leading to the classical tests of GR (light-ray bending and periastron advance) discussion of relativistic stellar equilibrium, white dwarfs, Chandrasekhar mass limit and polytropes. An entire chapter is devoted to tests of GR and to the indirect evidence of gravitational wave emission. The formal structure of gravitational theory is at all stages compared with that of non gravitational gauge theories, as a preparation to its modern extension, namely supergravity, discussed in the second volume. Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy. He has taught General Relativity for 15 years | |
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| 650 | 4 | |a Cosmology | |
| 650 | 4 | |a Mathematical Methods in Physics | |
| 650 | 4 | |a History and Philosophical Foundations of Physics | |
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| contents | Acknowledgement -- Preface -- Special Relativity: setting the stage.- Manifolds and fibre bundles -- Connections and Metrics -- Motion in the Schwarzschild Field -- Einstein versus Yang Mills Field Equations -- Stellar Equilibrium -- Gravitational Waves and the Binary Pulsars -- Conclusion of volume 1 -- Appendix A: Spinors and Gamma Matrix Algebra -- Appendix B: Mathematica Packages -- Index 'Gravity, a Geometrical Course' presents general relativity (GR) in a systematic and exhaustive way, covering three aspects that are homogenized into a single texture: i) the mathematical, geometrical foundations, exposed in a self consistent contemporary formalism, ii) the main physical, astrophysical and cosmological applications, updated to the issues of contemporary research and observations, with glimpses on supergravity and superstring theory, iii) the historical development of scientific ideas underlying both the birth of general relativity and its subsequent evolution. The book is divided in two volumes. Volume One is dedicated to the development of the theory and basic physical applications. It guides the reader from the foundation of special relativity to Einstein field equations, illustrating some basic applications in astrophysics. A detailed account of the historical and conceptual development of the theory is combined with the presentation of its mathematical foundations. Differentiable manifolds, fibre-bundles, differential forms, and the theory of connections are covered, with a sketchy introduction to homology and cohomology. (Pseudo)-Riemannian geometry is presented both in the metric and in the vielbein approach. Physical applications include the motions in a Schwarzschild field leading to the classical tests of GR (light-ray bending and periastron advance) discussion of relativistic stellar equilibrium, white dwarfs, Chandrasekhar mass limit and polytropes. An entire chapter is devoted to tests of GR and to the indirect evidence of gravitational wave emission. The formal structure of gravitational theory is at all stages compared with that of non gravitational gauge theories, as a preparation to its modern extension, namely supergravity, discussed in the second volume. Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy. He has taught General Relativity for 15 years |
| ctrlnum | (OCoLC)864013818 (DE-599)BVBBV040751471 |
| dewey-full | 510 530 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 530 - Physics |
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| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-94-007-5361-7 |
| format | Electronic eBook |
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| spelling | Fré, Pietro 1952- (DE-588)1107208297 aut Gravity, a geometrical course Volume 1: Development of the theory and basic physical applications by Pietro Giuseppe Frè Dordrecht Springer Netherlands 2013 1 Online-Ressource (XVIII, 336 Seiten) txt rdacontent c rdamedia cr rdacarrier Acknowledgement -- Preface -- Special Relativity: setting the stage.- Manifolds and fibre bundles -- Connections and Metrics -- Motion in the Schwarzschild Field -- Einstein versus Yang Mills Field Equations -- Stellar Equilibrium -- Gravitational Waves and the Binary Pulsars -- Conclusion of volume 1 -- Appendix A: Spinors and Gamma Matrix Algebra -- Appendix B: Mathematica Packages -- Index 'Gravity, a Geometrical Course' presents general relativity (GR) in a systematic and exhaustive way, covering three aspects that are homogenized into a single texture: i) the mathematical, geometrical foundations, exposed in a self consistent contemporary formalism, ii) the main physical, astrophysical and cosmological applications, updated to the issues of contemporary research and observations, with glimpses on supergravity and superstring theory, iii) the historical development of scientific ideas underlying both the birth of general relativity and its subsequent evolution. The book is divided in two volumes. Volume One is dedicated to the development of the theory and basic physical applications. It guides the reader from the foundation of special relativity to Einstein field equations, illustrating some basic applications in astrophysics. A detailed account of the historical and conceptual development of the theory is combined with the presentation of its mathematical foundations. Differentiable manifolds, fibre-bundles, differential forms, and the theory of connections are covered, with a sketchy introduction to homology and cohomology. (Pseudo)-Riemannian geometry is presented both in the metric and in the vielbein approach. Physical applications include the motions in a Schwarzschild field leading to the classical tests of GR (light-ray bending and periastron advance) discussion of relativistic stellar equilibrium, white dwarfs, Chandrasekhar mass limit and polytropes. An entire chapter is devoted to tests of GR and to the indirect evidence of gravitational wave emission. The formal structure of gravitational theory is at all stages compared with that of non gravitational gauge theories, as a preparation to its modern extension, namely supergravity, discussed in the second volume. Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy. He has taught General Relativity for 15 years Mathematische Physik Physics Mathematical physics Classical and Quantum Gravitation, Relativity Theory Quantum Field Theories, String Theory Cosmology Mathematical Methods in Physics History and Philosophical Foundations of Physics Geometrie (DE-588)4020236-7 gnd rswk-swf Gravitation (DE-588)4021908-2 gnd rswk-swf Gravitation (DE-588)4021908-2 s Geometrie (DE-588)4020236-7 s DE-604 https://doi.org/10.1007/978-94-007-5361-7 Verlag Volltext |
| spellingShingle | Fré, Pietro 1952- Gravity, a geometrical course Volume 1: Development of the theory and basic physical applications Acknowledgement -- Preface -- Special Relativity: setting the stage.- Manifolds and fibre bundles -- Connections and Metrics -- Motion in the Schwarzschild Field -- Einstein versus Yang Mills Field Equations -- Stellar Equilibrium -- Gravitational Waves and the Binary Pulsars -- Conclusion of volume 1 -- Appendix A: Spinors and Gamma Matrix Algebra -- Appendix B: Mathematica Packages -- Index 'Gravity, a Geometrical Course' presents general relativity (GR) in a systematic and exhaustive way, covering three aspects that are homogenized into a single texture: i) the mathematical, geometrical foundations, exposed in a self consistent contemporary formalism, ii) the main physical, astrophysical and cosmological applications, updated to the issues of contemporary research and observations, with glimpses on supergravity and superstring theory, iii) the historical development of scientific ideas underlying both the birth of general relativity and its subsequent evolution. The book is divided in two volumes. Volume One is dedicated to the development of the theory and basic physical applications. It guides the reader from the foundation of special relativity to Einstein field equations, illustrating some basic applications in astrophysics. A detailed account of the historical and conceptual development of the theory is combined with the presentation of its mathematical foundations. Differentiable manifolds, fibre-bundles, differential forms, and the theory of connections are covered, with a sketchy introduction to homology and cohomology. (Pseudo)-Riemannian geometry is presented both in the metric and in the vielbein approach. Physical applications include the motions in a Schwarzschild field leading to the classical tests of GR (light-ray bending and periastron advance) discussion of relativistic stellar equilibrium, white dwarfs, Chandrasekhar mass limit and polytropes. An entire chapter is devoted to tests of GR and to the indirect evidence of gravitational wave emission. The formal structure of gravitational theory is at all stages compared with that of non gravitational gauge theories, as a preparation to its modern extension, namely supergravity, discussed in the second volume. Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy. He has taught General Relativity for 15 years Mathematische Physik Physics Mathematical physics Classical and Quantum Gravitation, Relativity Theory Quantum Field Theories, String Theory Cosmology Mathematical Methods in Physics History and Philosophical Foundations of Physics Geometrie (DE-588)4020236-7 gnd Gravitation (DE-588)4021908-2 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4021908-2 |
| title | Gravity, a geometrical course Volume 1: Development of the theory and basic physical applications |
| title_auth | Gravity, a geometrical course Volume 1: Development of the theory and basic physical applications |
| title_exact_search | Gravity, a geometrical course Volume 1: Development of the theory and basic physical applications |
| title_full | Gravity, a geometrical course Volume 1: Development of the theory and basic physical applications by Pietro Giuseppe Frè |
| title_fullStr | Gravity, a geometrical course Volume 1: Development of the theory and basic physical applications by Pietro Giuseppe Frè |
| title_full_unstemmed | Gravity, a geometrical course Volume 1: Development of the theory and basic physical applications by Pietro Giuseppe Frè |
| title_short | Gravity, a geometrical course |
| title_sort | gravity a geometrical course volume 1 development of the theory and basic physical applications |
| title_sub | Volume 1: Development of the theory and basic physical applications |
| topic | Mathematische Physik Physics Mathematical physics Classical and Quantum Gravitation, Relativity Theory Quantum Field Theories, String Theory Cosmology Mathematical Methods in Physics History and Philosophical Foundations of Physics Geometrie (DE-588)4020236-7 gnd Gravitation (DE-588)4021908-2 gnd |
| topic_facet | Mathematische Physik Physics Mathematical physics Classical and Quantum Gravitation, Relativity Theory Quantum Field Theories, String Theory Cosmology Mathematical Methods in Physics History and Philosophical Foundations of Physics Geometrie Gravitation |
| url | https://doi.org/10.1007/978-94-007-5361-7 |
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