Geometry of General Relativity book:ggr http://sites.science.oregonstate.edu/coursewikis/GGR/ 2020-01-26T13:07:16-08:00 Geometry of General Relativity http://sites.science.oregonstate.edu/coursewikis/GGR/ http://sites.science.oregonstate.edu/coursewikis/GGR/lib/images/favicon.ico text/html 2011-05-29T09:41:00-08:00 book:ggr:acknowledge http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/acknowledge?rev=1306687260 Acknowledgments text/html 2011-05-25T18:54:00-08:00 book:ggr:bang http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/bang?rev=1306374840 The Big Bang text/html 2013-05-11T21:07:00-08:00 book:ggr:bending http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/bending?rev=1368331620 Bending of Light text/html 2013-06-06T08:10:00-08:00 book:ggr:birkhoff http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/birkhoff?rev=1370531400 Birkhoff's Theorem text/html 2011-04-02T17:20:00-08:00 book:ggr:books http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/books?rev=1301790000 Annotated Bibliography text/html 2013-04-23T20:17:00-08:00 book:ggr:ch1 http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch1?rev=1366773420 Preface Acknowledgments Chapter 1: Introduction * (ss)1. Line Elements * (ss)2. Circle Trig * (ss)3. Hyperbola Trig * (ss)4. The Geometry of Special Relativity * (ss)5. Differential Forms in a Nutshell * (ss)6. Geodesics * (ss)7. The Physics of General Relativity text/html 2013-04-07T13:25:00-08:00 book:ggr:ch1float http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch1float?rev=1365366300 (ss)1. Line Elements (ss)2. Circle Trig (ss)3. Hyperbola Trig (ss)4. Geometry of SR (ss)5. Differential Forms (ss)6. Geodesics (ss)7. The Physics of GR text/html 2013-04-23T20:14:00-08:00 book:ggr:ch2 http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch2?rev=1366773240 Preface Acknowledgments Mathematical Prerequisites Chapter 1: Introduction Chapter 2: Symmetries * (ss)1. Symmetries * (ss)2. Example: Polar Coordinates * (ss)3. Example: The Sphere * (ss)4. Coordinate Symmetries * (ss)5. Tensors Chapter 3: Schwarzschild Geometry text/html 2013-04-12T16:00:00-08:00 book:ggr:ch2float http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch2float?rev=1365807600 (ss)1. Symmetries (ss)2. Polar Coordinates (ss)3. The Sphere (ss)4. Coordinate Symmetries (ss)5. Tensors text/html 2013-04-30T21:18:00-08:00 book:ggr:ch3 http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch3?rev=1367381880 Preface Acknowledgments Mathematical Prerequisites Chapter 1: Introduction Chapter 2: Symmetries Chapter 3: Schwarzschild Geometry * (ss)1. The Schwarzschild Metric * (ss)2. Properties of the Schwarzschild Geometry * (ss)3. The Schwarzschild Geodesic Equation * (ss)4. Newtonian Motion * (ss)5. Orbits * (ss)6. Circular Orbits * (ss)7. Null Orbits * (ss)8. Radial Geodesics * (ss)9. Rain Coordinates * (ss)10. Schwarzschild Observers text/html 2013-05-15T15:16:00-08:00 book:ggr:ch3float http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch3float?rev=1368656160 (ss)1. The Schwarzschild Metric (ss)2. Schwarzschild Geometry (ss)3. The Geodesic Equation (ss)4. Newtonian Motion (ss)5. Orbits (ss)6. Circular Orbits (ss)7. Null Orbits (ss)8. Radial Geodesics (ss)9. Rain Coordinates (ss)10. Schwarzschild Observers text/html 2013-04-23T20:17:00-08:00 book:ggr:ch4 http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch4?rev=1366773420 Preface Acknowledgments Mathematical Prerequisites Chapter 1: Introduction Chapter 2: Symmetries Chapter 3: Schwarzschild Geometry Chapter 4: Rindler Geometry * (ss)1. The Rindler Metric * (ss)2. Properties of Rindler Geometry * (ss)3. Rindler Geodesics * (ss)4. Extending Rindler Geometry text/html 2013-04-30T18:06:00-08:00 book:ggr:ch4float http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch4float?rev=1367370360 (ss)1. The Rindler Metric (ss)2. Rindler Geometry (ss)3. Rindler Geodesics (ss)4. Extending Rindler text/html 2013-04-23T20:17:00-08:00 book:ggr:ch5 http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch5?rev=1366773420 Preface Acknowledgments Mathematical Prerequisites Chapter 1: Introduction Chapter 2: Symmetries Chapter 3: Schwarzschild Geometry Chapter 4: Rindler Geometry Chapter 5: Black Holes * (ss)1. Extending Schwarzschild Geometry * (ss)2. Kruskal Geometry * (ss)3. Penrose Diagrams * (ss)4. Charged Black Holes * (ss)5. Rotating Black Holes text/html 2011-05-03T08:33:11-08:00 book:ggr:ch5float http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch5float?rev=1304436791 (ss)1. Extending Schwarzschild (ss)2. Kruskal Geometry (ss)3. Penrose Diagrams (ss)4. Charged Black Holes (ss)5. Rotating Black Holes text/html 2013-04-23T20:17:00-08:00 book:ggr:ch6 http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch6?rev=1366773420 Preface Acknowledgments Mathematical Prerequisites Chapter 1: Introduction Chapter 2: Symmetries Chapter 3: Schwarzschild Geometry Chapter 4: Rindler Geometry Chapter 5: Black Holes Chapter 6: Geodesic Deviation * (ss)1. Rain Connection * (ss)2. Tidal Forces * (ss)3. Geodesic Deviation: Idea * (ss)4. Geodesic Deviation: Details * (ss)5. Schwarzschild Connection * (ss)6. Tidal Forces Revisited text/html 2013-05-08T16:35:00-08:00 book:ggr:ch6float http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch6float?rev=1368056100 (ss)1. Rain Connection (ss)2. Tidal Forces (ss)3. Geodesic Deviation: Idea (ss)4. Geodesic Deviation: Details (ss)5. Schwarzschild Connection (ss)6. Tidal Forces Revisited text/html 2013-04-23T20:17:00-08:00 book:ggr:ch7 http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch7?rev=1366773420 Preface Acknowledgments Mathematical Prerequisites Chapter 1: Introduction Chapter 2: Symmetries Chapter 3: Schwarzschild Geometry Chapter 4: Rindler Geometry Chapter 5: Black Holes Chapter 6: Geodesic Deviation Chapter 7: Einstein's Equation * (ss)1. Matter * (ss)2. Dust * (ss)3. First Guess at Einstein's Equation * (ss)4. Conservation Laws * (ss)5. The Einstein Tensor * (ss)6. Einstein's Equation * (ss)7. The Cosmological Constant text/html 2013-05-11T16:11:00-08:00 book:ggr:ch7float http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch7float?rev=1368313860 (ss)1. Matter (ss)2. Dust (ss)3. Einstein's Equation: Guess (ss)4. Conservation Laws (ss)5. The Einstein Tensor (ss)6. Einstein's Equation (ss)7. The Cosmological Constant text/html 2013-04-23T20:17:00-08:00 book:ggr:ch8 http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch8?rev=1366773420 Preface Acknowledgments Mathematical Prerequisites Chapter 1: Introduction Chapter 2: Symmetries Chapter 3: Schwarzschild Geometry Chapter 4: Rindler Geometry Chapter 5: Black Holes Chapter 6: Geodesic Deviation Chapter 7: Einstein's Equation text/html 2013-05-29T09:28:00-08:00 book:ggr:ch8float http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch8float?rev=1369844880 (ss)1. Cosmology (ss)2. Cosmological Principle (ss)3. Constant Curvature (ss)4. Robertson-Walker Metrics (ss)5. The Big Bang (ss)6. Friedmann Cosmologies (ss)7. FRW Vacuum Models (ss)8. Missing Matter (ss)9. Standard Models (ss)10. Cosmological Redshift text/html 2013-04-23T20:16:00-08:00 book:ggr:ch9 http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch9?rev=1366773360 Preface Acknowledgments Mathematical Prerequisites Chapter 1: Introduction Chapter 2: Symmetries Chapter 3: Schwarzschild Geometry Chapter 4: Rindler Geometry Chapter 5: Black Holes Chapter 6: Geodesic Deviation Chapter 7: Einstein's Equation text/html 2013-04-16T17:42:00-08:00 book:ggr:ch9float http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/ch9float?rev=1366159320 text/html 2014-05-01T20:30:00-08:00 book:ggr:cha http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/cha?rev=1399001400 Preface Acknowledgments Mathematical Prerequisites Chapter 1: Introduction Chapter 2: Symmetries Chapter 3: Schwarzschild Geometry Chapter 4: Rindler Geometry Chapter 5: Black Holes Chapter 6: Geodesic Deviation Chapter 7: Einstein's Equation text/html 2014-05-01T20:33:00-08:00 book:ggr:chafloat http://sites.science.oregonstate.edu/coursewikis/GGR/book/ggr/chafloat?rev=1399001580 (ss)1. 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