This book explains the
following topics: Space, Time, and Newtonian Physics, Maxwell, E and M, and the
Ether, Einstein and Inertial Frames, Minkowskian Geometry, Accelerating
Reference Frames, Dynamics, Relativity and the Gravitational Field, General
Relativity and Curved Spacetime, Black Hole, Cosmology.
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 note covers the
following topics: Principle of Relativity, Lorentz transform, Simultaneous
events, causally connected events, Addition of velocities, 4-vectors: velocity,
energy-momentum, Energy-momentum of photon, Doppler effect, aberration,
Relativistic dynamics, Electromagnetic fields in different frames.
This book explains the following
topics: Frames of Reference, Newtonian Relativity, Einsteinian Relativity,
Geometry of Flat Spacetime, Electrodynamics in Special Relativity.
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 covers the
following topics: Newtonian Mechanics, Forces, Interlude: Dimensional
Analysis, Central Forces, Systems of Particles, Non-Inertial Frames and Special
Relativity.
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: 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.
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.