General relativity and cosmology for undergraduates j norbury

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General relativity and cosmology for undergraduates j norbury

GENERAL RELATIVITY & COSMOLOGY for UndergraduatesProfessor .John vv. NorburyPhysics Department University of Wisconsin-Milwaukee P.O. Box 413Milwaukee

General relativity and cosmology for undergraduates j norbury e, WI 532011997Contents1NEWTONIAN COSMOLOGY51.1Introduction......................................... 51.2Equation of State............................

........ 51.2.1Matter......................................... 61.2.2Radiation...................................... 61.3Velocity and Acceleration Equ General relativity and cosmology for undergraduates j norbury

ations.................. 71.4Cosmological Constant................................ 91.4.1Einstein Static Universe...................... 112APPLICATION

General relativity and cosmology for undergraduates j norbury

S132.1Conservation laws .................................. 132.2Age of the Universe ................................ 142.3Inflation...................

GENERAL RELATIVITY & COSMOLOGY for UndergraduatesProfessor .John vv. NorburyPhysics Department University of Wisconsin-Milwaukee P.O. Box 413Milwaukee

General relativity and cosmology for undergraduates j norbury r-DeWitt equation....................... 172.5Summary............................................. IS2.GProblems......................................

..... 192.7Answers............................................. 202.8Solutions ......................................... 213TENSORS233.1Contravariant General relativity and cosmology for undergraduates j norbury

and Covariant Vectors................. 233.2Higher Rank Tensors................................. 2G3.3Review of Cartesian Tensors.....................

General relativity and cosmology for undergraduates j norbury

.... 273.4Metric Tensor....................................... 283.4.1Special Relativity............................ 303.5Christoffel Symbols.........

GENERAL RELATIVITY & COSMOLOGY for UndergraduatesProfessor .John vv. NorburyPhysics Department University of Wisconsin-Milwaukee P.O. Box 413Milwaukee