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 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
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.
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.
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 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
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.