Kerr black hole surrounded by dark matter: Horizon, photonosphere and shadow

We study the effect of a simple spherical model of dark matter with mass D and thickness Δr to a Kerr black hole of mass M. It is shown that the horizon and ergosphere radii are affected. We utilize the Hamilton-Jacobi equation in deriving the equations of motion to study the photonsphere and genera...

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Main Author: Pantig, Reggie C.
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Published: Animo Repository 2019
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Online Access:https://animorepository.dlsu.edu.ph/faculty_research/11569
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Institution: De La Salle University
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spelling oai:animorepository.dlsu.edu.ph:faculty_research-115012024-03-25T08:04:52Z Kerr black hole surrounded by dark matter: Horizon, photonosphere and shadow Pantig, Reggie C. We study the effect of a simple spherical model of dark matter with mass D and thickness Δr to a Kerr black hole of mass M. It is shown that the horizon and ergosphere radii are affected. We utilize the Hamilton-Jacobi equation in deriving the equations of motion to study the photonsphere and generate a black hole shadow image. For increasing D and fixed Δr, the radial distance of the photon's last unstable prograde orbit tends to increase as the Kerr black hole approaches extremality. The condition also makes the photon's last unstable retrograde orbit to decrease in distance from the black hole. These results to the black hole's shadow radius to increase. Dramatic distortion to black hole shadow can occur if the dark matter density is abnormally high. A very low dark matter density results to an almost negligible effect to the black hole shadow. The expression for the condition such that the noticeable effect of dark matter starts to occur is rather cumbersome. A study of this kind can pave a way for sophisticated future observations to indirectly detect dark matter, if there is any. 2019-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/11569 Faculty Research Work Animo Repository Kerr black holes Dark matter (Astronomy) Hamilton-Jacobi equations Physics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
topic Kerr black holes
Dark matter (Astronomy)
Hamilton-Jacobi equations
Physics
spellingShingle Kerr black holes
Dark matter (Astronomy)
Hamilton-Jacobi equations
Physics
Pantig, Reggie C.
Kerr black hole surrounded by dark matter: Horizon, photonosphere and shadow
description We study the effect of a simple spherical model of dark matter with mass D and thickness Δr to a Kerr black hole of mass M. It is shown that the horizon and ergosphere radii are affected. We utilize the Hamilton-Jacobi equation in deriving the equations of motion to study the photonsphere and generate a black hole shadow image. For increasing D and fixed Δr, the radial distance of the photon's last unstable prograde orbit tends to increase as the Kerr black hole approaches extremality. The condition also makes the photon's last unstable retrograde orbit to decrease in distance from the black hole. These results to the black hole's shadow radius to increase. Dramatic distortion to black hole shadow can occur if the dark matter density is abnormally high. A very low dark matter density results to an almost negligible effect to the black hole shadow. The expression for the condition such that the noticeable effect of dark matter starts to occur is rather cumbersome. A study of this kind can pave a way for sophisticated future observations to indirectly detect dark matter, if there is any.
format text
author Pantig, Reggie C.
author_facet Pantig, Reggie C.
author_sort Pantig, Reggie C.
title Kerr black hole surrounded by dark matter: Horizon, photonosphere and shadow
title_short Kerr black hole surrounded by dark matter: Horizon, photonosphere and shadow
title_full Kerr black hole surrounded by dark matter: Horizon, photonosphere and shadow
title_fullStr Kerr black hole surrounded by dark matter: Horizon, photonosphere and shadow
title_full_unstemmed Kerr black hole surrounded by dark matter: Horizon, photonosphere and shadow
title_sort kerr black hole surrounded by dark matter: horizon, photonosphere and shadow
publisher Animo Repository
publishDate 2019
url https://animorepository.dlsu.edu.ph/faculty_research/11569
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