On the reformulation of the Thomas–Fermi model to make it compatible with the Planck-scale

Barman, Himangshu; Rahaman, A.; Jha, Sohan Kumar

doi:10.1142/s0217732321501303

Cited by 12 publications

(5 citation statements)

References 48 publications

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“…Although these GUPs are of different origins, so far as constructions of these are concerned, the main service these GUPs render is common: providing quantum gravity correction to the physical system. A few recent works with LQG and QG are [76][77][78][79][80]. Some notable works on the subject of thermal analysis of the black holes with GUP are [81][82][83][84][85][86].…”

Section: Jcap05(2024)019mentioning

confidence: 99%

The quantum corrected Schwarzschild black hole with a linear-quadratic GUP: a comprehensive evaluation

Barman,

Al-Badawi,

Jha

et al. 2024

J. Cosmol. Astropart. Phys.

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In this manuscript, we delve into an analytic and numerical probe of shadow with different accretion models, quasinormal modes, Hawking radiation, and gravitational lensing to study observational impacts of quantum effect introduced through linear-quadratic GUP(LQG). Our investigation reveals that the shadows of LQG-modified black holes are smaller and brighter than Schwarzschild black holes. To examine the impact of the quantum correction on the quasinormal mode, linear-quadratic GUP-modified black holes are explored under scalar and electromagnetic field perturbation. Here, linear-quadratic GUP is used to capture quantum corrections. It is observed that the incorporation of quantum correction by linear-quadratic GUP alters the singularity structure of the black hole. To compute the quasinormal modes of this linear-quadratic GUP-inspired quantum-corrected black holes, we compute the effective potential generated under the perturbation of scalar and electromagnetic field, and then we use the sixth-order WKB approach in conjunction with the appropriate numerical analysis. We find that the greybody factor decreases with the GUP parameter α implying that the probability of transmission decreases with the GUP parameter. The total power emitted by LQG modified black hole is found to be greater than that emitted by Schwarzschild black hole. Finally, we study weak gravitational lensing and make a comparison with quadratic GUP and linear GUP-modified black holes.

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Section: Jcap05(2024)019mentioning

confidence: 99%

The quantum corrected Schwarzschild black hole with a linear-quadratic GUP: a comprehensive evaluation

Barman,

Al-Badawi,

Jha

et al. 2024

J. Cosmol. Astropart. Phys.

Self Cite

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“…Although, other models which are associated with the GUP which corresponds to the idea of minimum measurable length and maximum measurable momentum length simultaneously. This type of problem is amenable to have a solution for all types of available generalization od uncertainty relation [36][37][38][39][40][41][42][43][44][45][46]. We will consider only consider generalization associated with the existence of a minimal length.…”

Section: Schwarzschild Metric Endowed With Quantum Gravity Correctionmentioning

confidence: 99%

Study of quantum gravity correction to the accretion onto the black hole in the GUP framework

Rahaman¹

2022

Preprint

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We study the quantum gravity correction to the accretion onto the modified Schwarzschild black hole in the GUP framework. The GUP which is associated with the minimum measurable length modifies the Schwarzschild black hole which gets endowed with quantum gravity correction. We examine the possible positions of critical points and obtain the critical velocity. For polytropic matter, we compute the correction to the temperature and the total integrated flux at the event horizon with reference to the minimum measurable length. We observe that accretion has a crucial dependence on the quantum effect of gravity marked by the GUP parameter.

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“…In this article we are intended to study the accretion phenomena onto a spherically symmetric Schwarzschild black hole employing a modified uncertainty relation that admits a quantum gravity correction that finds its place holding the hand of the concept of minimal measurable length. There are other models which are associated with the GUP correspond to the concept of minimum measurable length and maximum observable momentum simultaneously and it is a fascinating problem which is amenable for application for all kinds of available generalization of uncertainty relation [31][32][33][34][35][36][37][38][39][40][41]. We will only consider the generalization related to the existence of a minimal length.…”

Section: Description Of the Geodesic In The Gup Inspired Quantum Corr...mentioning

confidence: 99%

“…Making use of the condition of having circular orbit ṙ = 0 in Eqn. (34) we can have the expression of the specific energy (energy per unit mass) K, and substituting the expression for Ā the specific energy K can be expressed as…”

Section: A Condition Of Circular Orbits Of the Massive Particlesmentioning

confidence: 99%

GUP inspired asymptotic safety in the radiation process of thin accretion disk around a Schwarzschild-like black hole

Barman¹,

Rahaman²

2022

Preprint

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We study quantum gravity effects on radiation process of the thin accretion disks around Schwarzschild like black-hole. The quantum gravity correction is invoked through the framework of generalization of uncertainty which is equivalent to renormalization group improved quantum gravity and maintain the limit of the asymptotically safe preposition of gravity. It admits a free parameter that encodes the quantum effects on the spacetime geometry. It allows us to study how the thermal properties of the disk are modified in the quantum regime. We explicitly make estimations of quantum correction to the time averaged energy flux, the temperature of the disk, the differential luminosity, and the conversion efficiency of accreting mass into radiation. We observe a conspicuous shifting of the radius of the innermost stable circular orbit (ISCO) toward small values together with an enhancement of the maximum of the values of the average thermal radiation and greater conversion efficiency of accreting mass into radiation compared to the classical gravity scenario.

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On the reformulation of the Thomas–Fermi model to make it compatible with the Planck-scale

Cited by 12 publications

References 48 publications

The quantum corrected Schwarzschild black hole with a linear-quadratic GUP: a comprehensive evaluation

The quantum corrected Schwarzschild black hole with a linear-quadratic GUP: a comprehensive evaluation

Study of quantum gravity correction to the accretion onto the black hole in the GUP framework

GUP inspired asymptotic safety in the radiation process of thin accretion disk around a Schwarzschild-like black hole

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