General relativity : an introduction to black holes, gravitational waves, and cosmology /

• Κύριος συγγραφέας: Hall, Michael J. W. (συγγραφέας.)
• Μορφή: Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: San Rafael [Καλιφόρνια] : Morgan & Claypool Publishers, c2018
• Σειρά: IOP concise physics.
• Θέματα: Γενική σχετικότητα (Φυσική); Μαύρη τρύπα (Αστρονομία); Βαρυτικά κύματα; Κοσμολογία

General Relativity: An Introduction to Black Holes, Gravitational Waves, and Cosmology provides readers with a solid understanding of the underlying physical concepts of general relativity. It also shows how they may derive important applications of the theory and is a solid grounding for those wish...

Πίνακας περιεχομένων:

• 1. Concepts in special relativity
• 1.1. Galilean relativity
• 1.2. Inertial frames
• 1.3. Special relativity
• 1.4. Velocity addition, length contraction, and time dilation
• 1.5. Questions
• 2. Tensors in relativity
• 2.1. Motivation
• 2.2. General tensors and their basic properties
• 2.3. Lorentz tensors
• 2.4. Example : 4-momentum and force
• 2.5. Example : Doppler effect
• 2.6. Questions
• 3. The equivalence principle and local inertial frames
• 3.1. Inertial versus gravitational mass
• 3.2. Einstein's equivalence principle
• 3.3. Local inertial frames
• 3.4. Questions
• 4. The motion of freely falling particles in general relativity
• 4.1. Local inertial frames and the geodesic equation
• 4.2. The metric tensor
• 4.3. Gravity as geometry
• 4.4. The Newtonian limit
• 4.5. Questions
• 5. The Schwarzschild metric and black holes
• 5.1. Spherical symmetry and the Schwarzschild metric
• 5.2. Geodesics in spherically symmetric spacetimes
• 5.3. Particle geodesics in a Schwarzschild spacetime
• 5.4. Deflection of light by the Sun
• 5.5. Falling into a black hole
• 5.6. Questions
• 6. Tensors and geometry
• 6.1. Covariant derivatives
• 6.2. Basic properties of covariant derivatives
• 6.3. Riemann and Ricci tensors
• 6.4. Symmetries and Bianchi identities
• 6.5. Questions
• 7. Einstein's field equations
• 7.1. Overview
• 7.2. Energy-momentum tensor and conservation laws
• 7.3. The field equations for general relativity
• 7.4. The cosmological constant
• 7.5. Questions
• 8. Solving the field equations : vacuum solutions
• 8.1. The vacuum field equations
• 8.2. The Schwarzschild-de Sitter solution
• 8.3. Gravitational waves
• 8.4. Questions
• 9. Solving the field equations : cosmological solutions
• 9.1. The cosmological principle
• 9.2. The Friedmann-Robertson-Walker metric
• 9.3. Friedmann-Robertson-Walker universes
• 9.4. Questions
• Appendices. A. Derivation of Lorentz transformations
• B. Derivation of Einstein's field equations
• C. Remarks on selected questions.