Einstein's Legacy

• Dr Herman's 2005 Class on Einstein's Legacy
• St. Andrews Biography
• A. Einstein, Image and Impact
• Albert Einstein Online
• Einstein Revealed Nova Site
• Inside Einstein's Universe
• Leiwen's Einstein Page
• Einstein Papers Project
• nobelprize.org

Person of the Century

Geometry

• History of Non-Euclidean Geometry

• The Geometry of the Sphere

• Spherical Geometry

• Spherical Geometry Demo

• Lunes and Triangles

• Spherical Easel

• Flatland - A Romance of Many Dimensions

  • Sequels ...

• Geometry of Black Holes

• Time Travel in Flatland

Flatland house

Principle of Relativity

• Biography of Galileo
• Galileo's Parable of the Ship
• Galilean Relativity
• Three Levels of Understanding Physical Relativity
• The Lagrangian Method by David Morin (PDF)
• The Principle of Least Action Applet
• Quantum Physics Explains Newton's Laws of Motion - PDF and more

Galileo Galilei

Special Relativity

• Dr. Herman's Notes
  • Simple Review
  • Minkowski Diagrams Paper 1/25/08
  • Figures from paper
    • Boost Axes,
    • Simultaneous Events in S
    • Time Dilation, fixed in S
    • Length Contraction, fixed in S
    • Time Dilation, fixed in S'
    • Length Contraction, fixed in S'
  • Train Problem
• Brehme's Paper
• Relativity Notes -
• Relativity Lecture Notes - with problems
• Einstein Light
• Think Like Einstein
• How Did Einstein Discover Relativity?
• Special Relativity - Brief Overview
• Dummies guide to Special Relativity
• Relativity Summary
• Introduction to Relativity
• The Lightcone - Intro to Relativity
• "On the Electrodynamics of Moving Bodies"

Spacetime Geometry/Metrics

• See Minkowski Diagrams paper above
• Lorentz Transformation
• Boost Paper  - ToGraph
  • Boost Paper - PDF
  • Make your own - Tograph.exe
  • Other Graph Paper or
  • Free Online Graph Paper
  • Google Images
• Velocity Addition
• Length Contraction
• Visualizing Relativity - Test these programs
• Try Physics Today Online!
• Twin Paradox Sites
  • Asymmetry of Diagrams
  • Wikipedia
  • Various Resolutions
  • Yet another explanation

Four-Vectors and Kinetics

• The four-dimensional space-time
• Four Vectors - at HyperPhysics or Wikipedia
• Summation Convention
• Lagrangian Formulation
• Basic Lagrangian Mechanics
• Review of Part I PDF
• Sample Exam I

General Relativity

• Rotating Space Station Physics
  • A forum discussion
  • Armageddon
  • Elevator Ride Maple File
• One Hundred Years of the Eotvos Experiment
• Gravitational Redshift
• Laboratory Tests of Gravitational Physics
• GPS Links
  • Wikipedia and Relativistic Contribution
  • GPS and Relativity: An Engineering ...
  • Living Reviews - Ashby
  • Ashby TGRU Talk, Paper
• Hawking on Singularities - PDF
• Penrose Diagrams - Wikipedia
• Penrose Diagram and Black Holes
• Paper on Penrose Diagrams
• Relativity in a Nutshell
• Metric for North Pole - Maple File
• 2D Worldlines - Example 7.3 - Maple File
• Penrose Paths, Penrose Lines - Maple Files

Penrose Diagram for Rotating Black Hole

Geodesics

• Derivation of Geodesic Equation
• Christoffel Symbols
• Using Maple - Christoffel.mws, GTTensorII
• E. Noether's Discovery of the Deep Connection Between Symmetries and Conservation Laws
• Noether's Theorem
• The Role of Symmetry in Classical Physics
• Killing Vectors
• Redshifts and Killing Vectors
• Lagrangian Mechanics Made Simple
• Lagrangian Dynamics PPT
• More Examples in Lagrangian Dynamics
• Introduction to the Calculus of Variations
• Morris-Thorne Wormhole
• Wormholes as Black Hole Foils

Schwarzschild Solution

• Schwarschild Metric and here
• Orbits Applet
• Kepler Problem Applet
• Review for Exam II
• Maple Worksheets
  Schwarz.mws, Precession.mws (PDF Version)

Karl Schwarzschild

Black Holes

• Smallest Black Hole
• Black Holes and Neutron Stars
• Virtual Trips to Black Holes and Neutron Stars
• Black Holes - Cambridge
• Black Holes FAQ
• Wikipedia
  • Black Hole
  • Schwarzschild Metric
  • Kerr Metric
• Relativity and Black Holes - Eastern Tennessee State University
• Falling into a Black Hole Movies
• Black Hole Thermodynamics
• Eddington-Finkelstein Maple
• YouTube Videos
  • Pulsars and Neutron Stars (4:23 min)
  • Black Holes, White Dwarfs, and Other Dead Stars (9 min), Part 2 (6:41 min)
  • Extreme Physics of Black Holes (8 min), Part 2 (7 min)
  • Stephen Hawking, Black Holes and The Creator (10 min)
• Other Videos
  • Exploring Black Holes from http://freevideolectures.com/physics.html

Gravitational Waves

• Notes
• Wikipedia
• Astronomycast
• LISA http://lisa.jpl.nasa.gov/
• LIGO http://www.ligo.caltech.edu/
• Gravitational Waves: An Introduction by Indrajit Chakrabarty
• YouTube Videos
  • Ripples in Spacetime (1 min)
  • Gravity: Making Waves (7:39 min)
  • General Relativity: Gravitational Waves (4:37 min)
• Kip Thorne's Lectures
  • Kip Thorne's Class Lectures
  • Kip Thorne: Einstein's General Relativity, from 1905 to 2005
  • Probing the Universe with Gravitational Waves
  • A New Window on the Universe: The Search for Gravitational Waves
• Gravitational Wave Detection with Pulsars
• Gravitational Radiation

   

Cosmological Models

• Introduction to Inflationary Cosmology by Scott Watson, a former UNCW student
• COBE - Wikipedia
• The Simplest Models of the Universe
• Brief History of the Universe
• Expansion History of the Universe new
• Ned Wright's Cosmology FAQs
• WMAP Pages
• CERN Webcast - Copeland Lectures, 2, 3, Archive
• Kavli-CERCA Conference - Videos
• Physical Cosmology
• THE COSMOLOGICAL PARAMETERS
• Cosmological parameters from CMB measurements and the final 2dFGRS power spectrum
• CMB Measurements - Tegmark
• The Cosmic Triangle and here
• Cosmological Parameters and Gamma Ray Bursts new
• Omega Ranges new
• Geometry, CMB and Inflation new
• YouTube Videos
  • Stephen Hawking's Universe
  • Origin of the Universe - Stephen Hawking
  • Before the Big Bang, Roger Penrose
  • Roger Penrose - Cyclic Universe Model
  • Theories of Everything - The Multiverse
  • Alex Vilenkin interview about the Multiverse

COBE Images

Einstein's Equation

• The Meaning of Einstein's Equation
• The Einstein Field Equation - NCSA
• Mathematical GR - Field Equation
• Last Lecture PPT