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