Dick, Rainer,
Special and general relativity : an introduction to spacetime and gravitation / Introduction to spacetime and gravitation. Rainer Dick. - 1 online resource (various pagings) : illustrations (chiefly color). - [IOP release 5] IOP concise physics, 2053-2571 . - IOP (Series). Release 5. IOP concise physics. .
"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.
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
9781643273808 9781643273778
10.1088/2053-2571/aaf173 doi
Space and time.
Gravitation.
Special relativity (Physics)
General relativity (Physics)
Astrophysics.
SCIENCE / Physics / Astrophysics.
QC173.59.S65 / D537 2019eb
530.1/1
Special and general relativity : an introduction to spacetime and gravitation / Introduction to spacetime and gravitation. Rainer Dick. - 1 online resource (various pagings) : illustrations (chiefly color). - [IOP release 5] IOP concise physics, 2053-2571 . - IOP (Series). Release 5. IOP concise physics. .
"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.
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
9781643273808 9781643273778
10.1088/2053-2571/aaf173 doi
Space and time.
Gravitation.
Special relativity (Physics)
General relativity (Physics)
Astrophysics.
SCIENCE / Physics / Astrophysics.
QC173.59.S65 / D537 2019eb
530.1/1