Schwarzschild Geodesics in Terms of Elliptic Functions and the Related Red Shift - Journal of Modern Physics

JMP > Vol.2 No.4, April 2011

Journal of Modern Physics

Volume 2, Issue 4 (April 2011)

ISSN Print: 2153-1196 ISSN Online: 2153-120X

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Schwarzschild Geodesics in Terms of Elliptic Functions and the Related Red Shift ()

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DOI: 10.4236/jmp.2011.24036 5,831 Downloads 10,721 Views Citations

Author(s)

Gunter Scharf

Affiliation(s)

ABSTRACT

Using Weierstrassian elliptic functions the exact geodesics in the Schwarzschild metric are expressed in a simple and most transparent form. The results are useful for analytical and numerical applications. For example we calculate the perihelion precession and the light deflection in the post-Einsteinian approximation. The bounded orbits are computed in the post-Newtonian order. As a topical application we calculate the gravitational red shift for a star moving in the Schwarzschild field.

KEYWORDS

Schwarzschild Geodesics, Red Shift

Share and Cite:

G. Scharf, "Schwarzschild Geodesics in Terms of Elliptic Functions and the Related Red Shift," Journal of Modern Physics, Vol. 2 No. 4, 2011, pp. 274-283. doi: 10.4236/jmp.2011.24036.

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