lecture_7_07

lecture_7_07 - 05/07/09 Physics 13 - Fall 07 - G.R....

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Unformatted text preview: 05/07/09 Physics 13 - Fall 07 - G.R. Goldstein 1 Some Announcements Exam 1-- Thursday Oct.11 -- In Class closed book, calculators formulas will be provided Homework 2 due Tues. Sept.25 Homework 3 posted on Tues. due Thurs. Oct.4 Practice Exam will be posted in Course Documents 05/07/09 Physics 13 - Fall 07 - G.R. Goldstein 2 Gravitating light Light has gravitational mass = inertial mass (E/c 2 = p/c for Maxwellian EM wave = h / c 2 in Quantum Physics) Light has gravitational potential energy along with normal energy (h ) leading to the gravitational red shift and black holes 05/07/09 Physics 13 - Fall 07 - G.R. Goldstein 3 Frequency shifts E=h -GM(h /c 2 )/R= h for photon going from a star to free space or = (1 - GM/Rc 2 ) If GM/Rc 2 >1 light can not emerge from strong gravitational field - black hole (Actually only need GM/Rc 2 > 1/2 or Schwarzchild radius -due to necessary synchronization of clocks in changing field.) 05/07/09 Physics 13 - Fall 07 - G.R. Goldstein 4 Consequences of General Relativity 1. Elliptical orbits around Sun precess (precession of the perihelion of Mercury) due to curvature 1. Light has gravitational energy along with normal energy (via frequency or color), leading to the gravitational red shift 2. If gravity is very strong (very dense, large mass), light paths can not go outward - Black Holes Jose Wudka 1998 05/07/09 Physics 13 - Fall 07 - G.R. Goldstein 5 Black hole...
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This note was uploaded on 03/27/2008 for the course PHY 13 taught by Professor Garyr.goldstein during the Fall '04 term at Tufts.

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lecture_7_07 - 05/07/09 Physics 13 - Fall 07 - G.R....

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