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.
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.
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.
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.
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.
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 book covers the
following topics: Newtonian Mechanics, Forces, Interlude: Dimensional
Analysis, Central Forces, Systems of Particles, Non-Inertial Frames and Special
Relativity.
This note covers the following topics: Special relativity, Basic concepts of general relativity, Spherically symmetric
spacetimes, Differential geometry and Variational principles.