General relativity : an introduction to black holes, gravitational waves, and cosmology /

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 wish...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hall, Michael J. W. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2018]
Colección:IOP (Series). Release 4.
IOP concise physics.
Temas:
General relativity (Physics)
Black holes (Astronomy)
Gravitational waves.
Cosmology.
Gravity.
SCIENCE / Gravity.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • Appendices. A. Derivation of Lorentz transformations
  • B. Derivation of Einstein's field equations
  • C. Remarks on selected questions.

Ejemplares similares