Lecture 05: General Relativity - Physics & Astronomy - Northeastern ...
Lecture 05: General Relativity - Physics & Astronomy - Northeastern ...
Lecture 05: General Relativity - Physics & Astronomy - Northeastern ...
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<strong>Northeastern</strong>IllinoisUniversityGravitational Red ShiftSpecial<strong>Relativity</strong><strong>General</strong><strong>Relativity</strong>MilestonesPrinciple ofEquivalence<strong>General</strong><strong>Relativity</strong>PositiveCurvatureNegativeCurvatureCurvature &Energy DensityGravity fromCurvature“Bending” ofLightGravitationalLensingPrecession ofperihelionGravitationalRed ShiftBlack HolesBlack Holes IIPulsarGravitationalWavesBinary Pulsarhff′hf − hf ′hfE ′ = mc 2 − G Mmr+hgE = mc 2 − G Mmr= E′ − EE≈ GMm rNear the Earth’s surfaceg = G M r 2Gravitational Red Shift(f − f ′ )/f ≈ gh/c 2Confirmed by Pound et. al.in 1960.− G Mmr+hmc 2≈ GMc 2hr ≈ gh2 c 2Cosmology c○2004, 2007 G. Anderson <strong>Physics</strong> III – slide 23 / 37
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