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Quasinormal modes and shadow of a Schwarzschild black hole with GUP

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arxiv 2108.04998 v2 pith:FMALPHWD submitted 2021-08-11 gr-qc hep-th

Quasinormal modes and shadow of a Schwarzschild black hole with GUP

classification gr-qc hep-th
keywords blackholequasinormalschwarzschildshadowlimitmodesanalysis
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider quantum corrections for the Schwarzschild black hole metric by using the generalized uncertainty principle (GUP) to investigate quasinormal modes, shadow and their relationship in the eikonal limit. We calculate the quasinormal frequencies of the quantum-corrected Schwarzschild black hole by using the sixth-order Wentzel-Kramers-Brillouin (WKB) approximation, and also perform a numerical analysis that confirms the results obtained from this approach. We also find that the shadow radius is nonzero even at very small mass limit for finite GUP parameter.

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Cited by 1 Pith paper

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    gr-qc 2025-01 unverdicted novelty 4.0

    Black hole spacetimes in dark matter spikes are solved analytically from TOV equations; ringdown quasinormal frequencies differ from Schwarzschild by up to order 10^{-4}.