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 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
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.
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.
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 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.
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
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.
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.