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Cover: 9781009415620 | An Introduction to General Relativity and Cosmology | Jerzy Plebanski
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An Introduction to General Relativity and Cosmology
Buch von Jerzy Plebanski
Sprache: Englisch

98,60 €*

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Beschreibung
"Experts Plebaânski and Krasiânski provide a thorough introduction to the tools of general relativity and relativistic cosmology, guiding advanced students through complete derivations of the results. Starting with a short course on differential geometry, the main text describes relativity as a physical theory"--
"Experts Plebaânski and Krasiânski provide a thorough introduction to the tools of general relativity and relativistic cosmology, guiding advanced students through complete derivations of the results. Starting with a short course on differential geometry, the main text describes relativity as a physical theory"--
Über den Autor
Jerzy Plebäski (1928-2005) was a Polish theoretical physicist best known for his extensive research into general relativity, nonlinear electrodynamics and mathematical physics. He split his time between Warsaw, Poland, and Mexico, his permanent residence from the mid-1970s onwards. He is remembered, among other things, for defining the algebraic classification of the tensor of matter, for finding new solutions of the Einstein equations (for example, the Plebäski-Demiäski metric), formulation of the heavenly equations and the effective field theory relating GR and supergravity, known as Plebäski action. The first part of the book is developed from Plebäski's lecture notes.
Inhaltsverzeichnis
The scope of this text; Preface to the second edition; Acknowledgements; 1. How the theory of relativity came into being (a brief historical sketch); Part I. Elements of Differential Geometry: 2. A short sketch of 2-dimensional differential geometry; 3. Tensors, tensor densities; 4. Covariant derivatives; 5. Parallel transport and geodesic lines; 6. The curvature of a manifold; flat manifolds; 7. Riemannian geometry; 8. Symmetries of Riemann spaces, invariance of tensors; 9. Methods to calculate the curvature quickly: differential forms and algebraic computer programs; 10. The spatially homogeneous Bianchi-type spacetimes; 11. The Petrov classification by the spinor method; Part II. The Theory of Gravitation: 12. The Einstein equations and the sources of a gravitational field; 13. The Maxwell and Einstein-Maxwell equations and the Kaluza-Klein theory; 14. Spherically symmetric gravitational fields of isolated objects; 15. Relativistic hydrodynamics and thermodynamics; 16. Relativistic cosmology I: general geometry; 17. Relativistic cosmology II: the Robertson-Walker geometry; 18. Relativistic cosmology III: the Lemaître-Tolman geometry; 19. Relativistic cosmology IV: Simple generalisations of L-T and related geometries; 20. Relativistic cosmology V: the Szekeres geometries; 21. The Kerr metric; 22 Relativity enters technology: the Global Positioning System; 23. Subjects omitted from this book; 24. Comments to selected exercises and calculations; References; Index.
Details
Erscheinungsjahr: 2024
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781009415620
ISBN-10: 100941562X
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Plebanski, Jerzy
Hersteller: Cambridge University Press
Maße: 250 x 175 x 35 mm
Von/Mit: Jerzy Plebanski
Erscheinungsdatum: 13.05.2024
Gewicht: 1,166 kg
Artikel-ID: 127871789
Über den Autor
Jerzy Plebäski (1928-2005) was a Polish theoretical physicist best known for his extensive research into general relativity, nonlinear electrodynamics and mathematical physics. He split his time between Warsaw, Poland, and Mexico, his permanent residence from the mid-1970s onwards. He is remembered, among other things, for defining the algebraic classification of the tensor of matter, for finding new solutions of the Einstein equations (for example, the Plebäski-Demiäski metric), formulation of the heavenly equations and the effective field theory relating GR and supergravity, known as Plebäski action. The first part of the book is developed from Plebäski's lecture notes.
Inhaltsverzeichnis
The scope of this text; Preface to the second edition; Acknowledgements; 1. How the theory of relativity came into being (a brief historical sketch); Part I. Elements of Differential Geometry: 2. A short sketch of 2-dimensional differential geometry; 3. Tensors, tensor densities; 4. Covariant derivatives; 5. Parallel transport and geodesic lines; 6. The curvature of a manifold; flat manifolds; 7. Riemannian geometry; 8. Symmetries of Riemann spaces, invariance of tensors; 9. Methods to calculate the curvature quickly: differential forms and algebraic computer programs; 10. The spatially homogeneous Bianchi-type spacetimes; 11. The Petrov classification by the spinor method; Part II. The Theory of Gravitation: 12. The Einstein equations and the sources of a gravitational field; 13. The Maxwell and Einstein-Maxwell equations and the Kaluza-Klein theory; 14. Spherically symmetric gravitational fields of isolated objects; 15. Relativistic hydrodynamics and thermodynamics; 16. Relativistic cosmology I: general geometry; 17. Relativistic cosmology II: the Robertson-Walker geometry; 18. Relativistic cosmology III: the Lemaître-Tolman geometry; 19. Relativistic cosmology IV: Simple generalisations of L-T and related geometries; 20. Relativistic cosmology V: the Szekeres geometries; 21. The Kerr metric; 22 Relativity enters technology: the Global Positioning System; 23. Subjects omitted from this book; 24. Comments to selected exercises and calculations; References; Index.
Details
Erscheinungsjahr: 2024
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781009415620
ISBN-10: 100941562X
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Plebanski, Jerzy
Hersteller: Cambridge University Press
Maße: 250 x 175 x 35 mm
Von/Mit: Jerzy Plebanski
Erscheinungsdatum: 13.05.2024
Gewicht: 1,166 kg
Artikel-ID: 127871789
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