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" Relativity, gravitation, and cosmology : "
Ta-Pei Cheng.
Document Type
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BL
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Record Number
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623972
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Doc. No
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dltt
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Main Entry
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Cheng, Ta-Pei.
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Title & Author
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Relativity, gravitation, and cosmology : : a basic introduction /\ Ta-Pei Cheng.
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Series Statement
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Oxford master series in physics ;; 11.Particle physics, astrophysics, and cosmology
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Page. NO
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xiii, 339 pages :: illustrations ;; 26 cm.
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ISBN
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0198529562 (alk. paper)
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: 0198529570 (pbk. : alk. paper)
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Bibliographies/Indexes
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Includes bibliographical references (p. [330]-334) and index.
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Contents
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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.
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Subject
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General relativity (Physics), Textbooks.
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Subject
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Space and time.
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Subject
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Gravity.
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Subject
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Cosmology.
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Dewey Classification
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530.11
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LC Classification
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QC173.6.C4724 2005
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