Special Relativity and Flat Spacetime

... Lecture Notes on General Relativity Sean M. Carroll 1 Special Relativity and Flat Spacetime We will begin with a whirlwind tour of special relativity (SR) and life in flat spacetime. The point will ... example, we can turn vectors and dual vectors into each other by raising and lowering indices: V µ = η µν V ν ω µ = η µν ω ν . (1.62) 1 SPECIAL RELATIVITY AND FLAT...

Ngày tải lên: 23/10/2013, 20:20

... Relativity reveals deep connections be- tween inertial forces in an accelerated system and gravitation. We will in this book be concerned with Special Relativity. 1.2 Weirdness of Light The special ... c : = c + v in the direction of the wind and c ; = c–vin the opposite direction. And what is the speed of light in the transverse 15 Special Relativity and Motions Faster th...

Ngày tải lên: 24/04/2014, 16:47

... demonstration of both mind reading and bending keys. He didn’t do any mind reading that succeeded; nobody can read my mind, I guess. And my boy held a key and Geller rubbed it, and nothing happened. Then ... Then he told us it works better under water, and so you can picture all of us standing in the bathroom with the water turned on and the key under it, and him rubbing the key...

Ngày tải lên: 24/04/2014, 16:54

... B PrecisionGroundPlates and Flat Bars  Steel and aluminiumPlates  Flat and squareToolSteels C Lifting and ClampingDevices D GuideElements E GroundPrecisionComponents F ... 2925.2.0020.050.300 subjecttoalterations B 2 2·12471·2007·2 ° PrecisionGroundPlates and Flat Bars subjecttoalterations B 3 Page 2900. SteelPlatesISO6753-1 B 4 2910. AluminiumPlates~IS...

Ngày tải lên: 24/12/2013, 20:16

... White Dwarfs and Neutron Stars (The Physics of Compact Objects) (New York: Wiley) [4] Landau L D 1932 On the theory of stars Phys. Z. 1 285 [5] Baade W and Zwicky F 1934 Supernovae and cosmic rays ... University of Massachusetts and the Infrared Processing and Analysis Center/California Institute of Technology, funded by the National Aeronautics and Space Administration and the...

Ngày tải lên: 19/01/2014, 14:03

... row and column matrices (xy) and  x y  and the kets <a| and bras |a>used in quantum mechanics [3]. Before proceeding let’s emphasize again that our definitions of contravari- ant and covariant ... restricted to closed (k = +1) and empty (ρ = 0) universes. Atkatz [11] presented a very nice discussion for closed and empty universes. Herein we consider closed, open and flat...

Ngày tải lên: 17/03/2014, 13:34

... four- and six-year st i nts covering the college game. I’ve made multiple pilgrimages to South Bend and Ann Arbor; East Lansing and Columbus; Coral Gables and Tallahassee; Tuscaloosa, Auburn, and ... tradition as the “corny dogs” (and Snickers bars and cheese curds and alligator cubes) are immersed in cook- ing oil at the Texas State Fair, site of the Cotton Bowl and the...

Ngày tải lên: 24/03/2014, 02:21

... Worldlines of the front and back of the barn (G and H) and the front and back of the ladder (J and K) and events C and D in the rest frames of (a) N and (b) P. While events C and D are simultaneous ... 5 1.4 The “specialness” of special relativity Why is this subject called special relativity, ” and not just relativity ? It is because the predictions we make only str...

Ngày tải lên: 24/04/2014, 16:48

... either expanded forever or expanded and collapsed in a manner that was periodic with time. His work was dismissed by Einstein and generally ignored by other physicists. In 1920, Harlow Shapley and ... forces are equal and opposite: F 21 = F 12 Note that (1) is really a special case of (2). By Phil Maloney. 9 10 CHAPTER 2. OVERVIEW OF MODERN COSMOLOGY AND RELATIVITY Velocities a...

Ngày tải lên: 24/04/2014, 17:06

... row and column matrices (xy) and  x y  and the kets <a| and bras |a>used in quantum mechanics [3]. Before proceeding let’s emphasize again that our definitions of contravari- ant and covariant ... restricted to closed (k = +1) and empty (ρ = 0) universes. Atkatz [11] presented a very nice discussion for closed and empty universes. Herein we consider closed, open and flat...

Ngày tải lên: 24/04/2014, 17:07