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.
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 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.
note covers the following topics: Principles of relativity, Time dilation and length contraction, Geometry of
spacetime, The Lorentz transformation, Causality and the interval, Relativistic