The author has succeeded in writing a beautiful self-contained text In all respects it is a pleasure to read this distinguished textbook. Extremely helpful are more than figures, illustrating subjects which in many cases are difficult to imagine Hence it is highly recommendable for every student or teacher interested in this subject. The K-calculus; 3. The key attributes of special relativity; 4. Tensor algebra; 6. Tensor Calculus; 7.

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Special Relativity Revisited; 9. The Principles of General Relativity; The Field Equations of General Relativity; General Relativity from a Variation Principle; The Energy-Momentum Tensor; The Structure of the Field Equations; The Schwarzschild Solution; Ethereal solutions 12m. Week 3 final quiz 24m. Week 4: The Weirdness Begins. Video 14 videos. Week 4 introduction 7m.

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The relativity of simultaneity part 1 6m. The relativity of simultaneity part 2 10m. The relativity of simultaneity part 3 16m. The relativity of simultaneity summary 11m. The light clock part 1 11m. The light clock part 2 26m. Exploring the Lorentz factor 6m. Time dilation 22m.

## A Simplified Introduction to Einstein's Theory of Relativity

Measuring length 21m. What is not suspect 13m. The invariant interval 22m. A real-life example: the muon 7m. Week 4 summary 29m. Week 4 introduction outline 2m. The relativity of simultaneity diagram 1 2m. The relativity of simultaneity diagram 2 2m. The relativity of simultaneity diagram 3 2m. The relativity of simultaneity leading clocks lag diagram 2m. The light clock part 1 outline 2m. The light clock part 2 outline 2m.

## Welcome to Einstein Online - relativity and more! — Einstein Online

Exploring the Lorentz factor outline 2m. Time dilation outline 2m. Measuring length diagram 10m. What is not suspect outline 2m. The invariant interval outline 2m. A real-life example: the muon outline 2m. Week 4 problem set optional 3h. Week 4 problem set solutions 30m. The relativity of simultaneity parts 1 and 2 12m. The relativity of simultaneity part 3 12m.

## A Simplified Introduction to Einstein's Theory of Relativity

The relativity of simultaneity summary 4m. The light clock and exploring the Lorentz factor 16m. Time dilation 8m. Measuring length 14m. What is not suspect, and the invariant interval 8m. The muon 6m. Week 4 final quiz 22m. Show More.

Week 5: Spacetime Switches. Video 17 videos. Week 5 introduction 10m. Units for the speed of light 8m. Exploring time dilation and length contraction part 1 25m. The Lorentz transformation part 1 21m. The Lorentz transformation part 2 17m. The Lorentz transformation part 3 29m.

Exploring the Lorentz transformation part 1 17m. Exploring the Lorentz transformation part 2 11m. Exploring the Lorentz transformation part 3 5m. Leading clocks lag, revisited a quantitative analysis 29m. Leading clocks lag, revisited alternate shorter version 17m. Exploring time dilation and length contraction part 2 17m. Combining velocities 25m. Combining velocities, addendum 2m. The ultimate speed limit 10m.

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- A Simplified Introduction to Einstein's Theory of Relativity.

What happens with perpendicular velocities? Week 5 summary 9m. Reading 16 readings. Week 5 introduction outline 2m. Units for the speed of light outline 2m. Exploring time dilation and length contraction part 1 outline 2m. The Lorentz transformation part 1 outline 2m. The Lorentz transformation part 2 outline 2m. The Lorentz transformation part 3 outline 2m. Exploring the Lorentz transformation part 1 outline 2m.

Exploring the Lorentz transformation part 2 outline 2m. Exploring the Lorentz transformation part 3 outline 2m. Leading clocks lag, revisited outline 2m. Exploring time dilation and length contraction part 2 outline 2m. Combining velocities outline 2m. The ultimate speed limit outline 2m. Week 5 problem set optional 3h. Week 5 problem set solutions 30m. Quiz 10 practice exercises. Exploring time dilation and length contraction part 1 8m. The Lorentz transformation parts 1, 2, and 3 8m. Exploring the Lorentz transformation parts 1, 2, and 3 12m. Leading clocks lag, revisited 6m.

Exploring time dilation and length contraction part 2 8m. Combining velocities 10m. The ultimate speed limit 6m. Week 5 final quiz 20m. Week 6: Breaking the Spacetime Speed Limit. Week 6 introduction 5m. Spacetime diagrams revisited part 1a 16m. Spacetime diagrams revisited part 1b 7m.

Spacetime diagrams revisited part 2 13m. Spacetime diagrams revisited part 3 20m. Spacetime diagrams revisited part 4 18m. Spacetime diagrams revisited part 5 11m. Regions of spacetime 29m. Faster than light? Cause and effect, or vice versa? Week 6 summary 15m. Reading 11 readings. Week 6 introduction outline 2m.

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Spacetime diagrams revisited parts 1a and 1b outline 2m. Spacetime diagrams revisited part 2 outline 2m. Spacetime diagrams revisited part 3 outline 2m. Changes in the orbit of Mercury : The orbit of Mercury is shifting very gradually over time, due to the curvature of space-time around the massive sun. In a few billion years, it could even collide with Earth.

Frame-dragging of space-time around rotating bodies : The spin of a heavy object, such as Earth, should twist and distort the space-time around it. The precisely calibrated satellite caused the axes of gyroscopes inside to drift very slightly over time, a result that coincided with Einstein's theory. GP-B confirmed two of the most profound predictions of Einstein's universe, having far-reaching implications across astrophysics research.

Gravitational redshift : The electromagnetic radiation of an object is stretched out slightly inside a gravitational field. Think of the sound waves that emanate from a siren on an emergency vehicle; as the vehicle moves toward an observer, sound waves are compressed, but as it moves away, they are stretched out, or redshifted. Known as the Doppler Effect, the same phenomena occurs with waves of light at all frequencies. In , two physicists, Robert Pound and Glen Rebka, shot gamma-rays of radioactive iron up the side of a tower at Harvard University and found them to be minutely less than their natural frequency due to distortions caused by gravity.

Gravitational waves : Violent events, such as the collision of two black holes, are thought to be able to create ripples in space-time known as gravitational waves. It is thought that such waves are embedded in the cosmic microwave background. However, further research revealed that their data was contaminated by dust in the line of sight. LIGO spotted the first confirmed gravitational wave on September 14, The pair of instruments, based out of Louisiana and Washington, had recently been upgraded, and were in the process of being calibrated before they went online.

The first detection was so large that, according to LIGO spokesperson Gabriela Gonzalez, it took the team several months of analyzation to convince themselves that it was a real signal and not a glitch. A second signal was spotted on December 26 of the same year, and a third candidate was mentioned along with it.