UID:
almafu_9958882075702883
Format:
1 online resource (various pagings) :
,
illustrations (some color).
ISBN:
1-68174-970-X
,
1-68174-885-1
Series Statement:
[IOP release 4]
Content:
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 wishing to pursue further study. This thorough primer is based on class-tested undergraduate lectures from Griffith University, Brisbane. It develops the basic elements of general relativity with applications to the gravitational deflection of light, GPS, black holes, gravitational waves, and cosmology.
Note:
"Version: 20180301"--Title page verso.
,
"A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Appendices. A. Derivation of Lorentz transformations -- B. Derivation of Einstein's field equations -- C. Remarks on selected questions.
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Also available in print.
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Mode of access: World Wide Web.
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System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
Additional Edition:
ISBN 1-68174-882-7
Language:
English
DOI:
10.1088/978-1-6817-4885-6
URL:
http://iopscience.iop.org/book/978-1-6817-4885-6
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