Lecture Notes on General Relativity by S. Hollands and Ko Sanders
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Lecture Notes on General Relativity by S. Hollands and Ko Sanders
Lecture Notes on General Relativity by S. Hollands and Ko Sanders
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.
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.
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.
This book explains the following
topics: Frames of Reference, Newtonian Relativity, Einsteinian Relativity,
Geometry of Flat Spacetime, Electrodynamics in Special Relativity.
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.
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.
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.
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.
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.
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.
This note covers the following topics: Special relativity, Basic concepts of general relativity, Spherically symmetric
spacetimes, Differential geometry and Variational principles.