Special and general relativity : an introduction to spacetime and gravitation / Rainer Dick.

By: Dick, Rainer [author.]Contributor(s): Morgan & Claypool Publishers [publisher.] | Institute of Physics, IOP - EBA (Great Britain) [publisher.]Material type: TextTextSeries: IOP (Series)Release 5 | IOP concise physicsPublisher: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2019]Distributor: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2019]Description: 1 online resource (various pagings) : illustrations (chiefly color)Content type: text Media type: electronic Carrier type: online resourceISBN: ebookOther title: Introduction to spacetime and gravitationSubject(s): Space and time | Gravitation | Special relativity (Physics) | General relativity (Physics) | Astrophysics | SCIENCE / Physics / AstrophysicsAdditional physical formats: Print version:: No titleDDC classification: 530.1/1 LOC classification: QC173.59.S65 D537 2019ebOnline resources: e-book Full-text access Also available in print.
Contents:
1. Why relativity? -- 1.1. The Galilei invariance of Newtonian mechanics -- 1.2. The need for special relativity -- 1.3. The need for general relativity
2. A first look at notions from geometry -- 2.1. Vectors and tensors -- 2.2. Curvilinear coordinates
3. The tangents of spacetime : special relativity -- 3.1. Lorentz transformations and the relativity of space and time -- 3.2. Consequences of Lorentz symmetry -- 3.3. The general Lorentz transformation
4. Relativistic dynamics -- 4.1. Energy-momentum vectors and the relativistic Newton equation -- 4.2. The manifestly covariant formulation of electrodynamics -- 4.3. Action principles for relativistic particles -- 4.4. Current densities and stre
5. Differential geometry : the kinematics of curved spacetime -- 5.1. More geometry : surfaces in R3 -- 5.2. Covariant derivatives and Christoffel symbols -- 5.3. Transformations of tensors and Christoffel symbols
6. Particles in curved spacetime -- 6.1. Motion of a particle in spacetime -- 6.2. Slow particles in a weak gravitational field -- 6.3. Local inertial frames -- 6.4. Symmetric spaces and conservation laws
7. The dynamics of spacetime : the Einstein equation -- 7.1. Geodesic deviation and curvature -- 7.2. The Einstein equation -- 7.3. The Schwarzschild metric : The gravitational field outside a non-rotating star -- 7.4. The interior of Schwarzsch
8. Massive particles in the Schwarzschild spacetime -- 8.1. Massive particles in t-independent radially symmetric spacetimes -- 8.2. Radial motion in terms of the effective potential -- 8.3. The shape of the trajectory -- 8.4. Clocks in the Schw
9. Massless particles in the Schwarzschild spacetime -- 9.1. Equations of motion -- 9.2. Deflection of light in a gravitational field -- 9.3. Apparent photon speeds and radial infall.
Abstract: This book provides a concise introduction to both the special theory of relativity and the general theory of relativity. The format is chosen to provide the basis for a single semester course which can take the students all the way from the foun
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IOP Science eBook - EBA QC173.59.S65 D537 2019eb (Browse shelf (Opens below)) Available IOP_20210074

"Version: 20190102"--Title page verso.

"A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.

Includes bibliographical references.

1. Why relativity? -- 1.1. The Galilei invariance of Newtonian mechanics -- 1.2. The need for special relativity -- 1.3. The need for general relativity

2. A first look at notions from geometry -- 2.1. Vectors and tensors -- 2.2. Curvilinear coordinates

3. The tangents of spacetime : special relativity -- 3.1. Lorentz transformations and the relativity of space and time -- 3.2. Consequences of Lorentz symmetry -- 3.3. The general Lorentz transformation

4. Relativistic dynamics -- 4.1. Energy-momentum vectors and the relativistic Newton equation -- 4.2. The manifestly covariant formulation of electrodynamics -- 4.3. Action principles for relativistic particles -- 4.4. Current densities and stre

5. Differential geometry : the kinematics of curved spacetime -- 5.1. More geometry : surfaces in R3 -- 5.2. Covariant derivatives and Christoffel symbols -- 5.3. Transformations of tensors and Christoffel symbols

6. Particles in curved spacetime -- 6.1. Motion of a particle in spacetime -- 6.2. Slow particles in a weak gravitational field -- 6.3. Local inertial frames -- 6.4. Symmetric spaces and conservation laws

7. The dynamics of spacetime : the Einstein equation -- 7.1. Geodesic deviation and curvature -- 7.2. The Einstein equation -- 7.3. The Schwarzschild metric : The gravitational field outside a non-rotating star -- 7.4. The interior of Schwarzsch

8. Massive particles in the Schwarzschild spacetime -- 8.1. Massive particles in t-independent radially symmetric spacetimes -- 8.2. Radial motion in terms of the effective potential -- 8.3. The shape of the trajectory -- 8.4. Clocks in the Schw

9. Massless particles in the Schwarzschild spacetime -- 9.1. Equations of motion -- 9.2. Deflection of light in a gravitational field -- 9.3. Apparent photon speeds and radial infall.

This book provides a concise introduction to both the special theory of relativity and the general theory of relativity. The format is chosen to provide the basis for a single semester course which can take the students all the way from the foun

Science and engineering undergrad, introduction for graduate students.

Also available in print.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Rainer Dick studied physics at the Universities in Stuttgart, Karlsruhe and Hamburg, and received a PhD degree from the University of Hamburg in 1990. He worked at the University of Munich and the Institute for Advanced Study in Princeton before

Title from PDF title page (viewed on March 4, 2019).