Thermodynamics and evaporation of a modified Schwarzschild black hole in a non–commutative gauge theory

Filho, A. A. Araújo; Zare, Somayeh; Porfírio, P. J.; Křı́ž, Jan; Hassanabadi, H.

doi:10.1016/j.physletb.2023.137744

Cited by 18 publications

(6 citation statements)

References 30 publications

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“…It is evident that as X increases, the corresponding Hawking temperatures become increasingly attenuated. It is important to mention that the thermodynamic aspects were calculated for a variety contexts, including cosmological scenarios [102][103][104][105][106][107][108][109][110][111][112][113] and more [114][115][116][117].…”

Section: The General Setup and Hawking Temperaturementioning

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 General Setup and Hawking Temperaturementioning

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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“…On the other hand, the main effect of non-commutability is on the left side of the gravity equation which affects the space-time measure and causes many different consequences. Regarding this approach, there exists a formalism that involves the use of the non-commutative gauge de Sitter (dS) group, SO(4,1), in conjunction with the Poincarè group, ISO (3,1), regarding the Seiberg-Witten (SW) map approach [8,9]. With it, Ref.…”

Section: Introductionmentioning

confidence: 99%

Exploring non-commutativity as a perturbation in the Schwarzschild black hole: quasinormal modes, scattering, and shadows

Heidari,

Hassanabadi,

Filho

et al. 2024

Eur. Phys. J. C

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In this work, by a novel approach to studying the scattering of a Schwarzschild black hole, the non-commutativity is introduced as perturbation. We begin by reformulating the Klein–Gordon equation for the scalar field in a new form that takes into account the deformed non-commutative spacetime. Using this formulation, an effective potential for the scattering process is derived. To calculate the quasinormal modes, we employ the WKB method and also utilize fitting techniques to investigate the impact of non-commutativity on the scalar quasinormal modes. We thoroughly analyze the results obtained from these different methods. Moreover, the greybody factor and absorption cross section are investigated. Additionally, we explore the behavior of null geodesics in the presence of non-commutativity. Specifically, we examine the photonic, and shadow radius as well as the light trajectories for different non-commutative parameters. Therefore, by addressing these various aspects, we aim to provide a comprehensive understanding of the influence of non-commutativity on the scattering of a Schwarzschild-like black hole and its implications for the behavior of scalar fields and light trajectories.

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Thermodynamics and evaporation of a modified Schwarzschild black hole in a non–commutative gauge theory

Cited by 18 publications

References 30 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

Exploring non-commutativity as a perturbation in the Schwarzschild black hole: quasinormal modes, scattering, and shadows

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