A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes

Bouhmadi-López, Mariam; Brahma, Suddhasattwa; Chen, Che-Yu; Chen, Pisin; Yeom, Dong-han

doi:10.1088/1475-7516/2020/07/066

Cited by 70 publications

(48 citation statements)

References 84 publications

(129 reference statements)

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“…[22] by the use of three-form fields. Within the quantum realm, similar regular black holes can also be formulated in loop quantum gravity [23][24][25][26][27] and, within a de Sitter core, in stringtheory-inspired corrections [28]. Interestingly, regular stringy black holes without a de Sitter core have been recently reported [29].…”

Section: Introduction and Purpose Of The Workmentioning

confidence: 96%

Some global, analytical, and topological properties of regular black holes

Bargueño

2020

Phys. Rev. D

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In this work, we study regular black holes from a global perspective, looking to evade some of the wellknown singularity theorems by using their "reverses." Then, model geometries for the slices of typical spherically symmetric, (locally) static four-dimensional regular black hole solutions are described from both an analytical and a topological point of view. While the finiteness of both the scalar and Kretchmann curvature of the slices around the regular center determines the geometry of the core, the positive answer to the Poincaré conjecture assures that, under two assumptions, its topology is that of a three-sphere. However, in general, the cores are shown to be S 3 , H 3 , R × S 1 , or S 1 × S 2 , depending on whether de Sitter, antide Sitter, Nariai, or Bertotti-Robinson geometries are employed to describe the slices at the regular center. Then, a description of the aforementioned slices in terms of Seifert fiber spaces is given in order to show that the Euler characteristic of the bundle can be used to track the transition between the core of the regular black hole and the rest of the slices in most of the cases considered in the literature. After Geroch and Tipler's theorems are employed to study the consequences of topology change on regular black hole spacetimes, we show that Borde and Vilenkin's singularity theorem is used to restrict their possible types. We end by noting that Nariai cores can be safely used to construct regular black holes without topology changes.

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Section: Introduction and Purpose Of The Workmentioning

confidence: 96%

Some global, analytical, and topological properties of regular black holes

Bargueño

2020

Phys. Rev. D

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“…Each of these modifications in the Hamiltonian provides a first-class algebra, without any further requirement on the remaining functions. Note that one can not directly substitute these values in the expressions above as η 1 appears dividing in the anomalous term (13). In order to check that these are indeed consistent deformations, one needs to compute again the Poisson bracket (29).…”

Section: Singular Solutionsmentioning

confidence: 99%

“…In addition, these effective theories have been widely used to study the interior of spherical black holes, which are described by homogeneous but anisotropic Kantowski-Sachs spaces. The literature presents a wide variety of predictions [5][6][7][8][9][10][11][12][13][14]; for instance, the possibility of a quantum transition from a black hole into a white hole, resembling the cosmological bounce.…”

Section: Introductionmentioning

confidence: 99%

Holonomy and inverse-triad corrections in spherical models coupled to matter

Alonso-Bardaji

Brizuela

2021

Eur. Phys. J. C

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Loop quantum gravity introduces two characteristic modifications in the classical constraints of general relativity: the holonomy and inverse-triad corrections. In this paper, a systematic construction of anomaly-free effective constraints encoding such corrections is developed for spherically symmetric spacetimes. The starting point of the analysis is a generic Hamiltonian constraint where free functions of the triad and curvature components as well as non-minimal couplings between geometric and matter degrees of freedom are considered. Then, the requirement of anomaly freedom is imposed in order to obtain a modified Hamiltonian that forms a first-class algebra. In this way, we construct a family of consistent deformations of spherical general relativity, which generalizes previous results in the literature. The discussed derivation is implemented for vacuum as well as for two matter models: dust and scalar field. Nonetheless, only the deformed vacuum model admits free functions of the connection components. Therefore, under the present assumptions, we conclude that holonomy corrections are not allowed in the presence of these matter fields.

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“…For example, the quasinormal modes of a non-singular polymerized Schwarzschild black hole were studied in Ref. [25]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Gravitational lensing by a black hole in effective loop quantum gravity

Fu,

Zhang

2021

Preprint

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It is well known that general relativity is an effective theory of gravity at low energy scale, and actually quantum effects cannot be ignored in the strong-field regime. As a strong gravitational object, black hole plays a key role in testing the quantum effects of gravity in the strong-field regime. In this paper, we focus on black hole in effective loop quantum gravity and investigate what the influences are of the quantum effects on the weak and strong bending angles of light rays. We find that this black hole could be a Schwarzschild black hole, a regular black hole, a one-way traversable wormhole, or a two-way traversable wormhole for the different values of the quantum parameter, and the strong bending angle for this compact object exhibits two different divergent behaviors, i.e., the logarithmic divergence and non-logarithmic divergence. There are a series of relativistic images on both sides of the optical axis. Only the outermost one can be resolved as a single image, and all others are packed together at the limiting angular position. It is interesting to note that the angular separation between the outermost relativistic image and the others initially increases and then decreases as the quantum parameter increases, indicating that there is a maximum in the angular separation. The maximum is reached after the black hole becomes a wormhole, which can be taken as a signal for the formation of the wormhole. Moreover, the limiting angular position decreases as the quantum parameter increases but a little bounce occurs after the formation of the wormhole, and the relative magnification in magnitudes first decreases and then increases as the quantum parameter increases.

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A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes

Cited by 70 publications

References 84 publications

Some global, analytical, and topological properties of regular black holes

Some global, analytical, and topological properties of regular black holes

Holonomy and inverse-triad corrections in spherical models coupled to matter

Gravitational lensing by a black hole in effective loop quantum gravity

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