Quasinormal modes and shadow of noncommutative black hole

Campos, J. A. V.; Anacleto, M. A.; Brito, F. A.; Passos, E.

doi:10.1038/s41598-022-12343-w

Cited by 31 publications

(12 citation statements)

References 94 publications

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“…To determine the reflection and transmission coefficients, we analyze the scattering process using the semi-classical WKB approach, which has been the subject of recent research in the field [125][126][127]. These coefficients are associated with the effective potential and are represented by complex functions denoted as Λ j (Υ), where Υ is a purely imaginary quantity, and ω corresponds to the real frequency associated with the quasinormal modes.…”

Section: The Wkb Methodsmentioning

confidence: 99%

Gravitational traces of bumblebee gravity in metric–affine formalism

Araújo Filho,

Hassanabadi,

Heidari

et al. 2024

Class. Quantum Grav.

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This work explores various manifestations of bumblebee gravity within the metric--affine formalism. We investigate the impact of the Lorentz violation parameter, denoted as $X$, on the modification of the \textit{Hawking} temperature. Our calculations reveal that as $X$ increases, the values of the \textit{Hawking} temperature attenuate. To examine the behavior of massless scalar perturbations, specifically the \textit{quasinormal} modes, we employ the WKB method. The transmission and reflection coefficients are determined through our calculations. The outcomes indicate that a stronger Lorentz--violating parameter results in slower damping oscillations of gravitational waves. To comprehend the influence of the \textit{quasinormal} spectrum on time--dependent scattering phenomena, we present a detailed analysis of scalar perturbations in the time--domain solution. Additionally, we conduct an investigation on shadows, revealing that larger values of $X$ correspond to larger shadow radii. Furthermore, we constrain the magnitude of the shadow radii using the EHT horizon--scale image of $Sgr A^*$. Finally, we calculate both the time delay and the deflection angle.

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Section: The Wkb Methodsmentioning

confidence: 99%

Gravitational traces of bumblebee gravity in metric–affine formalism

Araújo Filho,

Hassanabadi,

Heidari

et al. 2024

Class. Quantum Grav.

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“…This remarks are only possible due to existence of exotic matter. Furthermore, it is worth highlighting that the thermodynamic aspects have been extensively studied in various contexts, including cosmological scenarios [40,[136][137][138][139][140][141][142][143][144][145][146][147][148][149] and other related areas [150][151][152][153][154][155]. Finally, in order to provide a general overview of our results, we compare them with the Schwarzschild case in table 3.…”

Section: Schwarzschildmentioning

confidence: 99%

Analysis of a regular black hole in Verlinde’s gravity

Araújo Filho

2023

Class. Quantum Grav.

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This work focuses on the examination of a regular black hole within Verlinde’s emergent gravity, specifically investigating the Hayward-like (modified) solution. The study reveals the existence of three horizons under certain conditions, i.e. an event horizon and two Cauchy horizons. Our results indicate regions which phase transitions occur based on the analysis of heat capacity and Hawking temperature. To compute the latter quantity, we utilize three distinct methods: the surface gravity approach, Hawking radiation, and the application of the first law of thermodynamics. In the case of the latter approach, it is imperative to introduce a correction to ensure the preservation of the Bekenstein–Hawking area law. Geodesic trajectories and critical orbits (photon spheres) are calculated, highlighting the presence of three light rings. Additionally, we investigate the black hole shadows. Furthermore, the quasinormal modes are explored using third- and sixth-order Wentzel–Kramers–Brillouin approximations. In particular, we observe stable and unstable oscillations for certain frequencies. Finally, in order to comprehend the phenomena of time-dependent scattering in this scenario, we provide an investigation of the time-domain solution.

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“…In [77,78], employing the Lorentzian distribution, the authors have found logarithmic corrections for entropy as well as the condition for the black hole remnant. In [79], we have investigated the quasinormal modes and the shadow radius of a noncommutative Schwarzschild black hole. We show that, in the zero-mass limit, the shadow ray does not vanish, being proportional to a minimum mass for the finite noncommutative parameter and the black hole becomes a black hole remnant.…”

Section: Introductionmentioning

confidence: 99%

Absorption, scattering and shadow by a noncommutative black hole with global monopole

et al. 2023

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In this paper, we investigate the process of massless scalar wave scattering due to a noncommutative black hole with a global monopole through the partial wave method. We computed the cross section of differential scattering and absorption at the low frequency limit. We also calculated, at the high frequency limit, the absorption and the shadow radius by the null geodesic method. We showed that noncommutativity causes a reduction in the differential scattering/absorption cross section and shadow radius, while the presence of the global monopole has the effect of increasing the value of such quantities. In the limit of the null mass parameter, we verify that the cross section of differential scattering, absorption and shadow ray approach to a non-zero value proportional to a minimum mass.

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Quasinormal modes and shadow of noncommutative black hole

Cited by 31 publications

References 94 publications

Gravitational traces of bumblebee gravity in metric–affine formalism

Gravitational traces of bumblebee gravity in metric–affine formalism

Analysis of a regular black hole in Verlinde’s gravity

Absorption, scattering and shadow by a noncommutative black hole with global monopole

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