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.
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.
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 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.
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.
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 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 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 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.