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Relativity, gravitation, and cosmology : a basic introduction

Author: Ta-Pei Cheng
Publisher: Oxford ; New York : Oxford University Press, 2005.
Series: Oxford master series in physics, 11.; Oxford master series in physics., Particle physics, astrophysics, and cosmology.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
An introduction to Einstein's general theory of relativity, this work is structured so that interesting applications, such as gravitational lensing, black holes and cosmology, can be presented without the readers having to first learn the difficult mathematics of tensor calculus.
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Genre/Form: Textbooks
Manuels d'enseignement supérieur
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Ta-Pei Cheng
ISBN: 0198529562 9780198529569 0198529570 9780198529576 9786610758944 6610758948
OCLC Number: 56528107
Description: xiii, 339 pages : illustrations ; 26 cm.
Contents: Part I. Relativity: metric description of spacetime. Introduction and overview. Relativity as a coordinate symmetry ; GR as a gravitational field theory --
Special relativity and the flat spacetime. Coordinate symmetries ; The new kinematics of space and time ; Geometric formulation of SR --
The principle of equivalence. Newtonian gravitation potential: a review ; EP introduced ; Implications of the strong EP --
Metric description of a curved space. Gaussian coordinates ; Metric tensor ; Curvature --
GR as a geometric theory of gravity: I. Geometry as gravity ; Geodesic equation as GR equation of motion ; The curvature of spacetime --
Spacetime outside a spherical star. Description of Schwarzschild spacetime ; Gravitational lensing ; Precession of Mercury's perihelion ; Black holes --
Part II. Cosmology. The homogeneous and isotropic universe. The cosmos observed ; The cosmological principle ; The Robertson-Walker metric --
The expanding universe and thermal relics. Friedmann equations ; Time evolution of model universes ; Big bang cosmology ; Primordial nucleosynthesis ; Photon decoupling and the CMB --
Inflation and the accelerating universe. The cosmological constant ; The inflationary epoch ; CMB anisotropy and evidence for k = 0 ; The accelerating universe in the present epoch ; The concordant picture --
Part III. Relativity: full tensor formulation. Tensors in special relativity. General coordinate systems ; Four-vectors in Minkowski spacetime ; Manifestly covariant formalism for E & M ; Energy-momentum tensors --
Tensors in general relativity. Derivatives in a curved space ; Parallel transport ; Riemannian curvature tensor --
GR as a geometric theory of gravity: II. The principle of general covariance ; Einstein field equation ; The Schwarzschild exterior solution ; The Einstein equation for cosmology --
Linearized theory and gravitational waves. The linearized Einstein theory ; Plane waves and the polarization tensor ; Gravitational wave detection ; Evidence for gravitational wave --
Supplementary notes. The twin paradox ; A glimpse of advanced topics in black hole physics ; False vacuum and hidden symmetry ; The problem of [lambda] as quantum vacuum energy --
Answer keys to review questions --
Solutions of selected problems.
Series Title: Oxford master series in physics, 11.; Oxford master series in physics., Particle physics, astrophysics, and cosmology.
Responsibility: Ta-Pei Cheng.
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Abstract:

Provides an introduction to Einstein's general theory of relativity, suitable for advanced undergraduate or beginning graduate courses. Topics include: special relativity in the formalism of  Read more...

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This is a great time to have published a fresh new undergraduate text on relativity and cosmology...this is an excellent textbook which this reviewer would rate as the text of choice for a course on Read more...

 
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