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Lecture Notes on General Relativity ; New Lectures

By Blau, Matthias

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Book Id: WPLBN0003762219
Format Type: PDF eBook :
File Size:
Reproduction Date: 2015

Title: Lecture Notes on General Relativity ; New Lectures  
Author: Blau, Matthias
Language: English
Subject: Programming, Physics Books, Relativity
Collections: Technical eBooks and Manuals Collection, Technical Books Center Collection
Publication Date:
Publisher: Technical Books Center


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Blau, M. (2014). Lecture Notes on General Relativity ; New Lectures. Retrieved from

Description: The aim of these lecture notes is to provide a reasonably self-contained introduction to General Relativity, including a variety of applications of the theory, ranging from the solar system to gravitational waves, black holes and cosmology. This book covers the following topics: Physics in a Gravitational Field and General Covariance, General Relativity and Geometry, Dynamics of the Gravitational Field, General Relativity and the Solar System, Black Holes, Cosmology, Varia, Kaluza-Klein Theory.

Table of Contents
TOC : Introduction - From the Einstein Equivalence Principle to Geodesics - Physics and Geometry of Geodesics - Tensor Algebra - Tensor Analysis (Generally Covariant Differentiation) - Physics in a Gravitational Field and Minimal Coupling - Energy-Momentum Tensor I: Basics - Curvature I: The Riemann Curvature Tensor - Lie Derivative, Symmetries and Killing Vectors - Killing Vectors, Symmetries and Conserved Charges - Curvature II: Geometry and Curvature - Curvature III: Curvature and Geodesic Congruences - Curvature IV: Curvature and Killing Vectors - Curvature V: Maximal Symmetry and Constant Curvature - Hypersurfaces I: Basics - Hypersurfaces II: Intrinsic Geometry of non-Null Hypersurfaces - Hypersurfaces III: Intrinsic Geometry of Null Hypersurfaces - Hypersurfaces IV: Extrinsic Geometry of non-Null Hypersurfaces - The Einstein Equations - Einstein Equations from an Action Principle - Hamiltonian Formulation of General Relativity - Energy-Momentum Tensor II: Selected Topics - Linearised Gravity and Gravitational Waves - Einstein Equations and Spherical Symmetry - Particle and Photon Orbits in the Schwarzschild Geometry - Black Holes I: Approaching the Schwarzschild Radius - Black Holes II: the Schwarzschild Black Hole - Interlude: Carter-Penrose Conformal Diagrams - Black Holes III: Simple Models of Gravitational Collapse - Black Holes IV: Other Black Hole Solutions (a brief overview) - Black Holes V: the Reissner-Nordstrøm Solution - Black Holes VI: Horizons - Cosmology I: Basics - Cosmology II:Geometry and Physics of Robertson-Walker Metrics - Cosmology III:Friedmann-Lemaˆıtre-Robertson-Walker Cosmology - Cosmology IV: Qualitative Analysis - Cosmology V: Some Exact Solutions - Cosmology VI: The Universe Today - Insights and Puzzles - de Sitter and anti-de Sitter Space - Vaidya Metrics I: Bondi Gauge and Radiation Fields - Vaidya Metrics II: Radial Null and Timelike Geodesics - Vaidya Metrics III: Linear Mass m(v) = μv (a case study) - Exact Wave-like Solutions of the Einstein Equations - Kaluza-Klein Theory.


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