Approximating light rays in the Schwarzschild field

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10321577" target="_blank" >RIV/00216208:11320/15:10321577 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/0004-637X/800/1/77" target="_blank" >http://dx.doi.org/10.1088/0004-637X/800/1/77</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/0004-637X/800/1/77" target="_blank" >10.1088/0004-637X/800/1/77</a>

Result language
angličtina
Original language name
Approximating light rays in the Schwarzschild field
Original language description
A short formula is suggested that approximates photon trajectories in the Schwarzschild field better than other simple prescriptions from the literature. We compare it with various "low-order competitors," namely, with those following from exact formulasfor small M, with one of the results based on pseudo-Newtonian potentials, with a suitably adjusted hyperbola, and with the effective and often employed approximation by Beloborodov. Our main concern is the shape of the photon trajectories at finite radii, yet asymptotic behavior is also discussed, important for lensing. An example is attached indicating that the newly suggested approximation is usable-and very accurate-for practically solving the ray-deflection exercise.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—

Project
<a href="/en/project/GA14-10625S" target="_blank" >GA14-10625S: General relativistic fields of compact astrophysical sources</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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