These lecture notes on General Relativity intend to give an introduction to all aspects of Einstein’s theory: ranging form the conceptual via the mathematical to the physical. Topics covered includes: Special Relativity, Time and Space in Classical Mechanics, Electromagnetism and Poincar´e Invariance, Spacetime in Special Relativity, Mathematics of Minkowski Spacetime, Mechanics in Special Relativity, Observer Dependence and Paradoxes, General Relativity, Applications of General Relativity, Cosmological Solutions to Einstein’s Equation, Black Holes, Linearized Gravity and Gravitational Radiation, The Global Positioning System.
Author(s): S. Hollands and Ko Sanders
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
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
This book covers the following topics: The Electrodynamics of Moving Bodies, Principle of Relativity, The Generalised Principle of Relativity.
Author(s): Albert Einstein
This note covers the following topics: Baby Differential Geometry, Curvature, Gravitation and the Einstein Equation, Black Holes and Gravitational Radiation, Lie Derivatives and Isometries.
Author(s): Dr. Eugene A. Lim
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
Objective of this book is to explain the principle of relativity; its importance and universal application. Topics covered includes: Background History, The Lorentz Transformations, Spacetime, Dynamics and Kinematics, Four-Vectors, Relativity and Electromagnetism.
Author(s): Philip Harris
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
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
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
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
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
This book covers the following topics: Space and Time in Pre-Relativity Physics, The Theory of Special Relativity, The General Theory of Relativity.
Author(s): Albert Einstein
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
This note covers the following topics: oscillators damped and driven and resonance (how to rock your car out of a snow bank or use a swing), an introduction to Lagrangian mechanics and optimization, symmetries and Noether's theorem, special relativity, collisions and scattering, rotational motion, angular momentum, torque, the moment of inertia tensor (dynamic balance), gravitation, planetary motion, and a quantitative introduction to some of the mind-bending ideas of modern cosmology like inflation and dark energy.
Author(s): Harvard College
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
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
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
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
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
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
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