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Published in 2018 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-018-2407-z
Abstract: The generic null geodesic of the Schwarzschild–Kruskal–Szekeres geometry has a natural complexification, an elliptic curve with a cusp at the singularity. To realize that complexification as a Riemann surface without a cusp, and also to…
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Keywords:
schwarzschild universe;
extended schwarzschild;
null geodesics;
geodesics extended ... See more keywords
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Published in 2019 at "Physical Review D"
DOI: 10.1103/physrevd.100.064040
Abstract: Stability of a photon sphere, or stability of circular null geodesics on the sphere, plays a key role in its applications to astrophysics. For instance, an unstable photon sphere is responsible for determining the size…
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Keywords:
null geodesics;
surface;
stability;
photon sphere ... See more keywords
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Published in 2017 at "Physical Review D"
DOI: 10.1103/physrevd.96.084056
Abstract: There are circular planar null geodesics at $r=3M$ around a Schwarzschild black hole of mass $M$. These geodesics form a photon sphere. Null geodesics of the Schwarzschild space-time which do not form the photon sphere…
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Keywords:
photon;
black hole;
photon sphere;
null geodesics ... See more keywords
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Published in 2017 at "International Journal of Modern Physics A"
DOI: 10.1142/s0217751x18500987
Abstract: We investigate the geodesic motion of massless test particles in the background of a noncommutative geometry inspired Schwarzschild black hole. The behaviour of effective potential is analysed in the equatorial plane and the possible motions…
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Keywords:
black hole;
hole;
schwarzschild black;
photons emitted ... See more keywords