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
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 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.
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 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: 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: Special relativity, Basic concepts of general relativity, Spherically symmetric
spacetimes, Differential geometry and Variational principles.