Special and general relativity : an introduction to spacetime and gravitation /

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 foundations of special relativity to the core results of ge...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Dick, Rainer (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2019]
Colección:IOP (Series). Release 5.
IOP concise physics.
Temas:
Space and time.
Gravitation.
Special relativity (Physics)
General relativity (Physics)
Astrophysics.
SCIENCE / Physics / Astrophysics.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 stress-energy tensors
  • 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 Schwarzschild black holes
  • 7.5. Maximal extension of the Schwarzschild spacetime and wormholes
  • 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 Schwarzschild spacetime
  • 8.5. Escape velocities and infall times
  • 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.

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