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Albert Einstein and 100 Years of Relativity
Christopher M. Johns-Krull Rice University, Dept. of Physics and Astronomy October 24, 2016
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“Straight” Lines in Curved Spacetime
If you are floating freely, then your worldline is following the straightest possible path through spacetime. If you feel weight, then you are not on the straightest possible path. He actually first tried an offset circle. 2
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What is an Orbit? He actually first tried an offset circle.
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A New Understanding of Gravity
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An Orbit is a Straight Path Through Curved Spacetime
He actually first tried an offset circle.
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A New Understanding of Gravity
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A New Understanding of Gravity
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Precession of Mercury’s Orbit
He actually first tried an offset circle. 8
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Precession of Mercury’s Orbit
He actually first tried an offset circle. GR Says time runs more slowly and space is more curved at perihelia 9
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Now Gravity Can Affect Light
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Now Gravity Can Affect Light
If you are floating freely, then your worldline is following the straightest possible path through spacetime. If you feel weight, then you are not on the straightest possible path.
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Newtonian Mechanics Hinted This
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Gravitational Redshift
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Gravitational Redshift: Measured in Lab
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Deflection Depends on Mass
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Gravitational Lenses
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Gravitational Lenses
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Gravitational Lenses!
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Gravitational Time Dilation
In the initial stationary frame, you & Jackie have watches flashing every 1 sec. Now let the ship accelerate. Your frames are constantly changing. Jackie’s flashes arrive at you more than 1 sec apart, while yours arrive at her less than 1 sec apart.
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When the Charge Moves: Light!
He actually first tried an offset circle. 20
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Gravitational Waves! He actually first tried an offset circle. 21
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Little Green Men? LGM-1
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Pulsars
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Pulsar Pulses Can’t explain with other things we know about because the period is too small
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Pulsar Model
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Binary Pulsars: Gravitational Waves?
He actually first tried an offset circle. 26
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Detecting Gravitational Waves
He actually first tried an offset circle. 27
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LIGO Results!
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LIGO
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LIGO Results!
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LIGO Results!
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Black Holes
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Escape Velocity & Schwarzschild Radius
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Event Horizon
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Structure of a Non-Rotating BH
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