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

---

"Version: 20180301"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.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. Questions2. 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. Questions3. 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. Questions4. 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. Questions5. 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. Questions6. 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. Questions7. 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. Questions8. 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. Questions9. 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. QuestionsAppendices. A. Derivation of Lorentz transformations -- B. Derivation of Einstein's field equations -- C. Remarks on selected questions.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 wishing to pursue further study. This thorough primer is based on class-tested undergraduate lectures from Griffith University, Brisbane. It develops the basic elements of general relativity with applications to the gravitational deflection of light, GPS, black holes, gravitational waves, and cosmology.Appropriate as an accessible introductory guide/reference for undergraduate students and general interest readers.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Michael Hall received his PhD from the Australian National University in 1989. Since then he has worked in various areas of the foundations of physics, from both inside and outside academia (including a year as a Humboldt Fellow in Ulm, and sixteen as a patent examiner). For the last six years he has been a research fellow in the Centre for Quantum Dynamics at Griffith University in Brisbane and has recently taken up a visiting fellowship at the Australian National University in Canberra.Title from PDF title page (viewed on April 5, 2018).

---

Availability

No copy data

Detail Information

Series Title

-

Call Number

-

Publisher

: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9781681748856

Classification

530.11

Content Type

-

Media Type

-

Carrier Type

-

Edition

-

Subject(s)

Cosmology.
Gravitational waves.
General relativity (Physics)
SCIENCE / Gravity.
Gravity.
Black holes (Astronomy)

Specific Detail Info

-

Statement of Responsibility

Michael J.W. Hall.

Other version/related

File Attachment

Comments

---

You must be logged in to post a comment