TIMELIKE AND NULL GEODESICS IN THE SCHWARZSCHILD SPACE-TIME: ANALYTICAL SOLUTIONS

被引:2
|
作者
Cieslik, Adam [1 ,2 ]
Mach, Patryk [1 ]
机构
[1] Jagiellonian Univ, Fac Phys Astron & Appl Comp Sci, Inst Theoret Phys, Lojasiewicza 11, PL-30348 Krakow, Poland
[2] Jagiellonian Univ, Doctoral Sch Exact & Nat Sci, Lojasiewicza 11, PL-30348 Krakow, Poland
关键词
D O I
10.5506/APhysPolBSupp.16.6-A10
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The theory of Schwarzschild geodesics is revisited. Using a theorem due to Weierstrass and Biermann, we derive concise formulas describing all timelike and null trajectories in terms of Weierstrass elliptic functions. The formulation given in this note uses an analogue of the so-called Mino time.
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页数:9
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