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Black Hole Evaporation Process and Tangherlini-Reissner-Nordstr\"om Black Holes Shadow

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arxiv 2409.07951 v1 pith:UORNCTWD submitted 2024-09-12 gr-qc hep-th

classification gr-qchep-th
keywords blackholespacetimehigher-dimensionalshadowdimensionsholesderive
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abstract

In this article, we study the black hole evaporation process and shadow property of the Tangherlini-Reissner-Nordstr\"om (TRN) black holes. The TRN black holes are the higher-dimensional extension of the Reissner-Nordstr\"om (RN) black holes and are characterized by their mass $M$, charge $q$, and spacetime dimensions $D$. In higher-dimensional spacetime, the black hole evaporation occurs rapidly, causing the black hole's horizon to shrink. We derive the rate of mass loss for the higher-dimensional charged black hole and investigate the effect of higher-dimensional spacetime on charged black hole shadow. We derive the complete geodesic equations of motion with the effect of spacetime dimensions $D$. We determine impact parameters by maximizing the black hole's effective potential and estimate the critical radius of photon orbits. The photon orbits around the black hole shrink with the effect of the increasing number of spacetime dimensions. To visualize the shadows of the black hole, we derive the celestial coordinates in terms of the black hole parameters. We use the observed results of M87 and Sgr A$^{*}$ black hole from the Event Horizon Telescope and estimate the angular diameter of the charge black hole shadow in the higher-dimensional spacetime. We also estimate the energy emission rate of the black hole. Our finding shows that the angular diameter of the black hole shadow decreases with the increasing number of spacetime dimensions $D$.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Thermodynamics and Shadows of Kerr black holes endowed with a global monopole charge

    gr-qc 2025-06 reject novelty 4.0 of 10

    The authors derive shadow and thermodynamic quantities for a Kerr-like metric with a global monopole term in Δ, and claim EHT observations constrain the monopole charge α.

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