In my opinion this is an unnatural way of looking at the physics, for two reasons. The Christoffel symbols are the means of correcting your flat-space, naive differentiation to account for the curvature of the space in which you're doing your calculations, between those two points. \), in the same sense as the orbit.” 7 The second statement arises from subtracting the purely spatial result from the 2+1-dimensional result, and noting that the absolute value of this difference is the same as the Thomas precession that would have been obtained if the gyroscope had been whirled at the end of a rope. Christoffel symbols: Gr rr ¼ m 2mr r2 G rr ¼ 1 Gr ¼ 2m r G jj ¼ cos sin Gr jj ¼ð2m rÞsin2 Gj jr ¼ 1 r Gr tt ¼ mð 2mþrÞ r3 Gj j ¼ cot: Gt tr ¼ m 2mrþr2 ðL:21Þ Examination of Equation L.21 supports the requirement that the Christoffel symbols derived from the Schwarzchild geometry reduce to those derived from at spacetime in.
0 kommentar(er)
