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This note explains the following topics: Special relativity, Prelude to general relativity, Differential geometry and tensor calculus, Curvature and general relativity.
Author(s): Dr. Juan A. Valiente Kroon,University of London
80Pages
This note covers Reference frames, The postulates of special relativity, Consequences of the relativity postulates, Proper time and the invariant interval, Lorentz transformations I, Applications of the Lorentz transformation, The pole and barn paradox, Relativistic velocity addition formula, The twin paradox, Lorentz transformation II, The position 2 vector, 2 vectors, The velocity 2 vector, The energy momentum 2 vector, Binding energies and relativistic kinematics.
Author(s): Paul Renteln
81Pages
The contents of this lecture notes are : Preliminaries, Differential geometry, Physical laws in curved spacetimes, The Schwarzschild solution and classic tests of GR, Cosmology, Singularities and geodesic incompleteness, Linearized theory and gravitational waves.
Author(s): Ulrich Sperhake
153Pages
This book discusses one of the crowning achievements of modern physics: the General Theory of Relativity (GR). Major topics covered includes: Special Relativity, Index Notation, Electromagnetism, Accelerated Motion, Equivalence Principle, Curved Space and Metrics, Geodesics, Tensors, Black Holes, Einstein Equation and Cosmology.
Author(s): Chris Blake
NAPages
This book explains the following topics: Space, Time, and Newtonian Physics, Maxwell, E and M, and the Ether, Einstein and Inertial Frames, Minkowskian Geometry, Accelerating Reference Frames, Dynamics, Relativity and the Gravitational Field, General Relativity and Curved Spacetime, Black Hole, Cosmology.
Author(s): Donald Marolf
NAPages
This note covers the following topics: Principle of Relativity, Lorentz transform, Simultaneous events, causally connected events, Addition of velocities, 4-vectors: velocity, energy-momentum, Energy-momentum of photon, Doppler effect, aberration, Relativistic dynamics, Electromagnetic fields in different frames.
Author(s): Nadia L. Zakamska
101Pages
This book covers the following topics: The Electrodynamics of Moving Bodies, Principle of Relativity, The Generalised Principle of Relativity.
Author(s): Albert Einstein
272Pages
This book explains the following topics: Frames of Reference, Newtonian Relativity, Einsteinian Relativity, Geometry of Flat Spacetime, Electrodynamics in Special Relativity.
Author(s): James Cresser
NAPages
The reader is assumed to have but little mathematical knowledge. Topics covered includes: Geometry and Cosmology, The Fundamental Laws of Classical Mechanics, The Newtonian World-System, The Fundamental Laws of Optics, The Fundamental Laws of Electrodynamics and Einstein's Special Principle of Relativity.
Author(s): Max Born, Henry L. Brose
322Pages
This a textbook on special relativity, aimed at undergraduates who have already completed a freshman survey course. The treatment of electromagnetism assumes previous exposure to Maxwell's equations in integral form, but no knowledge of vector calculus. Topics covered includes: Spacetime, Foundations, Kinematics, Dynamics, Inertia, Waves, Coordinates, Rotation, Flux and Electromagnetism.
Author(s): Benjamin Crowell
236Pages
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.
Author(s): Matthias Blau
938Pages
This book covers the following topics: Special Relativity, Lorentzian Geometry, Introduction to General Relativity, Null Structure Equations, Applications to Null Hypersurfaces, Christodoulou’s Memory Effect, Black Holes, Lagrangian Theories and the Variational Principle, Hyperbolic Equations and Wave Propagation on Black Holes.
Author(s): Columbia University
139Pages
This book is written for anybody who is curious about nature and motion. Curiosity about how people, animals, things, images and empty space move leads to many adventures. This volume presents the best of them in the domains of fast, intense and distant motion: relativity and cosmology.
Author(s): Christoph Schiller
356Pages
This note covers the following topics: Symmetry and Invariance, Relativistic Kinematics, Variational Calculus, Relativistic Dynamics and Particle Physics, The Equivalence Principle and General Relativity, Relativity and Electromagnetism, General Relativity and Cosmology.
Author(s): Prof. Max Tegmark
NAPages
The purpose of this note is to introduce the theory of special relativity in an easily understandable way.Covered topics are: The 2 Postulates, The Relativity of Simultaneity, Length Contraction, Time Dilation, Lorentz Transformation, The Metric, The Twins Paradox, Moving faster than light?, Velocity Composition, Relativistic Dynamics and The 4-vector approach.
Author(s): Rafi Moor
NAPages
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NAPages
This book covers the following topics: Newtonian Mechanics, Forces, Interlude: Dimensional Analysis, Central Forces, Systems of Particles, Non-Inertial Frames and Special Relativity.
Author(s): David Tong
167Pages
This note provides an informal introduction to that beautiful and amazingly accurate theory of gravity called general relativity. The goal is to explain the basic equation in this theory - Einstein's equation - with a minimum of fuss and muss.
Author(s): John Baez
NAPages
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This note covers the following topics: Galilean Relativity, Special Relativity, Radar, Time Dilation, General Relativity, Principle of Equivalence, Curved Spacetime, Light cones in curved space-time.
Author(s): Edward L. Wright
NAPages
This note covers the following topics: Frames of Reference and Newton’s Laws, The Speed of Light, Michelson-morley Experiment, Special Relativity, The Lorentz Transformations, Time Dilation, Adding Velocities: A Walk On The Train, Relativistic Dynamics, Mass and Energy, Energy and Momentum In Lorentz Transformations, Transforming Energy Into Mass and How Relativity Connects Electric and Magnetic Fields.
Author(s): Michael Fowler, University of Virginia
78Pages
This note covers the following topics: Special relativity, Basic concepts of general relativity, Spherically symmetric spacetimes, Differential geometry and Variational principles.
Author(s): Petr Hadrava
NAPages
This note covers the following topics: Principles of relativity, Time dilation and length contraction, Geometry of spacetime, The Lorentz transformation, Causality and the interval, Relativistic mechanics.
Author(s): David W. Hogg
53Pages
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