TY - BOOK AU - Dick,Rainer ED - Morgan & Claypool Publishers, ED - Institute of Physics, IOP - EBA (Great Britain), TI - Special and general relativity: an introduction to spacetime and gravitation T2 - [IOP release 5] AV - QC173.59.S65 D537 2019eb U1 - 530.1/1 23 PY - 2019///] CY - San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) PB - Morgan & Claypool Publishers KW - Space and time KW - Gravitation KW - Special relativity (Physics) KW - General relativity (Physics) KW - Astrophysics KW - bicssc KW - SCIENCE / Physics / Astrophysics KW - bisacsh N1 - "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; Science and engineering undergrad, introduction for graduate students; Also available in print N2 - 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 UR - https://ezproxy.mef.edu.tr/login?url=https://iopscience.iop.org/book/978-1-64327-380-8 ER -