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 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.
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.
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.
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 covers the following topics: Galilean Relativity, Special Relativity, Radar, Time Dilation, General
Relativity, Principle of Equivalence, Curved Spacetime, Light cones in curved
space-time.
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.