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Principle of Equivalence: Einstein 1907

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Presentation on theme: "Principle of Equivalence: Einstein 1907"— Presentation transcript:

1 Principle of Equivalence: Einstein 1907
Box stationary in gravity field Box accelerates in empty space Box falling freely Box moves through space at constant velocity

2 Aberration of Light Moral: direction of light beam is relative

3 Gravitational deflection of Light
Now assume boxes are accelerating Light path is curved

4 Gravity attracts light!
Light ray curved in accelerating frame Principle of Equivalence (acceleration = gravity) Gravity attracts light!

5 Paradox: How can gravity attract light
if light has no mass?

6 MASS-ENERGY EQUIVALENCE
Gravity extracts energy from escaping matter Gravity extracts energy from escaping light Gravitational redshift, time dilation Other points of view same result: accelerating frames of reference - apply special relativity spacetime is curved

7 CURVATURE OF SPACETIME
How to tell difference between accelerating frame and gravity? tidal forces curvature Eliminates Newton’s “action at a distance” Freely moving bodies follow “shortest path” not necessarily a straight line

8 GENERAL RELATIVITY: EINSTEIN 1915
Matter + energy determine curvature of spacetime Curvature of spacetime determines motion of matter + energy


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