Deflection Angle of Photons through Dark Matter by Black Holes and Wormholes Using Gauss–Bonnet Theorem

In this research, we used the Gibbons–Werner method (Gauss–Bonnet theorem) on the optical geometry of a black hole and wormhole, extending the calculation of weak gravitational lensing within the Maxwell’s fish eye-like profile and dark-matter medium. The angle is seen...

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Main Author: Ali Övgün
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/5/5/115
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spelling doaj-637df6f8a68c4f0c8968967b2a98b0062020-11-25T01:38:19ZengMDPI AGUniverse2218-19972019-05-015511510.3390/universe5050115universe5050115Deflection Angle of Photons through Dark Matter by Black Holes and Wormholes Using Gauss–Bonnet TheoremAli Övgün0Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4950, Valparaíso, ChileIn this research, we used the Gibbons–Werner method (Gauss–Bonnet theorem) on the optical geometry of a black hole and wormhole, extending the calculation of weak gravitational lensing within the Maxwell’s fish eye-like profile and dark-matter medium. The angle is seen as a partially topological effect, and the Gibbons–Werner method can be used on any asymptotically flat Riemannian optical geometry of compact objects in a dark-matter medium.https://www.mdpi.com/2218-1997/5/5/115gravitational lensingweak deflectiondark matterGauss–Bonnet theoremblack holewormhole
collection DOAJ
language English
format Article
sources DOAJ
author Ali Övgün
spellingShingle Ali Övgün
Deflection Angle of Photons through Dark Matter by Black Holes and Wormholes Using Gauss–Bonnet Theorem
Universe
gravitational lensing
weak deflection
dark matter
Gauss–Bonnet theorem
black hole
wormhole
author_facet Ali Övgün
author_sort Ali Övgün
title Deflection Angle of Photons through Dark Matter by Black Holes and Wormholes Using Gauss–Bonnet Theorem
title_short Deflection Angle of Photons through Dark Matter by Black Holes and Wormholes Using Gauss–Bonnet Theorem
title_full Deflection Angle of Photons through Dark Matter by Black Holes and Wormholes Using Gauss–Bonnet Theorem
title_fullStr Deflection Angle of Photons through Dark Matter by Black Holes and Wormholes Using Gauss–Bonnet Theorem
title_full_unstemmed Deflection Angle of Photons through Dark Matter by Black Holes and Wormholes Using Gauss–Bonnet Theorem
title_sort deflection angle of photons through dark matter by black holes and wormholes using gauss–bonnet theorem
publisher MDPI AG
series Universe
issn 2218-1997
publishDate 2019-05-01
description In this research, we used the Gibbons–Werner method (Gauss–Bonnet theorem) on the optical geometry of a black hole and wormhole, extending the calculation of weak gravitational lensing within the Maxwell’s fish eye-like profile and dark-matter medium. The angle is seen as a partially topological effect, and the Gibbons–Werner method can be used on any asymptotically flat Riemannian optical geometry of compact objects in a dark-matter medium.
topic gravitational lensing
weak deflection
dark matter
Gauss–Bonnet theorem
black hole
wormhole
url https://www.mdpi.com/2218-1997/5/5/115
work_keys_str_mv AT aliovgun deflectionangleofphotonsthroughdarkmatterbyblackholesandwormholesusinggaussbonnettheorem
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