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Main Authors: Singh, Balendra Pratap, Ali, Md Sabir
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.02653
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author Singh, Balendra Pratap
Ali, Md Sabir
author_facet Singh, Balendra Pratap
Ali, Md Sabir
contents In this article, we present the thermodynamic and shadow properties of rotating black holes with global monopole charge. The angular diameter of Sgr A$^{*}$ black hole is 48.7 $\pm$ 7 $μas$, which is 8 $kps$ far away having a mass of $M = 4.0_{-0.6}^{+1.1} \times 10^6 M\odot$ as observed by Event Horizon Telescope and for the M87 black hole, the observed angular diameter is $θ_d = 42 \pm 3 μ$as, which is almost $16$ $Mpc$ far away with a mass of $M = (6.5 \pm 0.7) \times 10^9 M_\odot$. The global monopole charge parameter $α$ strongly affects the shape and size of the black hole shadow. We derived all the necessary equations to obtain the angular diameter of the rotating black hole shadow with the effect of the global monopole charge parameter $α$. For $α$ $\in$ (0, 0.08) with $a$ $\in$ $(0.7 M, 0.99 M)$, the angular diameter of M87 black hole shadow varies from $39$ $μas$ to $51$ $μas$. The angular diameter of Sgr A$^{*}$ black hole with global monopole charge parameter $α$ $\in$ (0, 0.04) and $a$ $\in$ $(0.7 M, 0.99 M)$, varies from $50$ $μas$ to $55$ $μas$. For bound values of $α$ and $a$, our results are consistent with the EHT observations.
format Preprint
id arxiv_https___arxiv_org_abs_2506_02653
institution arXiv
publishDate 2025
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spellingShingle Thermodynamics and Shadows of Kerr black holes endowed with a global monopole charge
Singh, Balendra Pratap
Ali, Md Sabir
General Relativity and Quantum Cosmology
In this article, we present the thermodynamic and shadow properties of rotating black holes with global monopole charge. The angular diameter of Sgr A$^{*}$ black hole is 48.7 $\pm$ 7 $μas$, which is 8 $kps$ far away having a mass of $M = 4.0_{-0.6}^{+1.1} \times 10^6 M\odot$ as observed by Event Horizon Telescope and for the M87 black hole, the observed angular diameter is $θ_d = 42 \pm 3 μ$as, which is almost $16$ $Mpc$ far away with a mass of $M = (6.5 \pm 0.7) \times 10^9 M_\odot$. The global monopole charge parameter $α$ strongly affects the shape and size of the black hole shadow. We derived all the necessary equations to obtain the angular diameter of the rotating black hole shadow with the effect of the global monopole charge parameter $α$. For $α$ $\in$ (0, 0.08) with $a$ $\in$ $(0.7 M, 0.99 M)$, the angular diameter of M87 black hole shadow varies from $39$ $μas$ to $51$ $μas$. The angular diameter of Sgr A$^{*}$ black hole with global monopole charge parameter $α$ $\in$ (0, 0.04) and $a$ $\in$ $(0.7 M, 0.99 M)$, varies from $50$ $μas$ to $55$ $μas$. For bound values of $α$ and $a$, our results are consistent with the EHT observations.
title Thermodynamics and Shadows of Kerr black holes endowed with a global monopole charge
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2506.02653