On the holographic basis of loop quantum cosmology

Silva, C. A. S.

doi:10.1140/epjc/s10052-018-5882-1

Cited by 11 publications

(14 citation statements)

References 92 publications

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“…In this way, LQBHs have the necessary thermodynamical stability in order to be conceived as possible candidates to dark matter [11,12]. Moreover, from the form of the entropy-area relation associated with LQBHs, they have been pointed as the building blocks of a holographic description of loop quantum cosmology [13].…”

Section: Discussionmentioning

confidence: 99%

“…By employing the same tunneling method, in the reference [49] it has been investigated the influence of a Generalized Uncertainty Principle on the thermodynamics of LQBHs. Interestingly, from the form of the LQBHs entropy, it has been found out that these objects could be the main constituents of a holographic version of Loop Quantum Cosmology (LQC) [13].…”

Section: Loop Quantum Black Holesmentioning

confidence: 99%

“…From this property, the black hole singularity is removed and replaced by another asymptotically flat region, which is an expected effect in a quantum gravity regime. Moreover, LQBHs have been pointed as a possible candidate for dark matter [11,12] and as the building blocks of a holographic version of loop quantum cosmology [13].…”

Section: Introductionmentioning

confidence: 99%

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Gravitational axial perturbations and quasinormal modes of loop quantum black holes

2019

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Loop Quantum Gravity (LQG) is a theory that proposes a way to model the behavior of the spacetime in situations where its atomic characteristic arises. Among these situations, the spacetime behavior near the Big Bang or black hole's singularity. The detection of gravitational waves, on the other hand, has opened the way to new perspectives in the investigation of the spacetime structure. In this work, by the use of a WKB method introduced by Schutz and Will [1], and after improved by Iyer and Will [2], we study the gravitational wave spectrum emitted by loop quantum black holes, which correspond to a quantized version of the Schwarzschild spacetime by LQG techniques. From the results obtained, loop quantum black holes have been shown stable under axial gravitational perturbations.

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Section: Discussionmentioning

confidence: 99%

Section: Loop Quantum Black Holesmentioning

confidence: 99%

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Gravitational axial perturbations and quasinormal modes of loop quantum black holes

2019

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“…Another interesting result in the realm of LQBH is the fact that, as have been demonstrated in [37], it can been sees as the building blocks of Loop Quantum Cosmology (LQC), in the sense that, starting from the LQBH entropy expression, LQC equations can been obtained through the use of Jacobson formalism to obtain the Einstein's gravitational equations.…”

Section: Loop Quantum Black Holesmentioning

confidence: 99%

Entropic corrected Newton’s law of gravitation and the loop quantum black hole gravitational atom

Aragão¹,

Silva²

2016

Gen Relativ Gravit

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One proposal by Verlinde [1] is that gravity is not a fundamental, but an entropic force. In this way, Verlinde has provide us with a way to derive the Newton's law of gravitation from the Bekenstein-Hawking entropy-area formula. On the other hand, since it has been demonstrated that this formula is susceptible to quantum gravity corrections, one may hope that these corrections could be inherited by the Newton's law. In this way, the entropic interpretation of Newton's law could be a prolific way in order to get verifiable or falsifiable quantum corrections to ordinary gravity in an observationally accessible regimes. Loop quantum gravity is a theory that provide a way to approach the quantum properties of spacetime. From this theory, emerges a quantum corrected semiclassical black hole solution called loop quantum black holes or self-dual black holes. Among the interesting features of loop quantum black holes is the fact that they give rise to a modified entropy-area relation where quantum gravity corrections are present. In this work, we obtain the quantum corrected Newton's law from the entropy-area relation given by loop quantum black holes. In order to relate our results with the recent experimental activity, we consider the quantum mechanical properties of a huge gravitational atom consisting in a light neutral elementary particle in the presence of a loop quantum black hole.

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“…We must cite that the expression (6) has also appeared in the context of loop quantum black holes [31], and has been used to derive the LQC dynamical equations from thermodynamical arguments [32]. Moreover, the present considerations must be valid for regimes above the AdS length scale.…”

mentioning

confidence: 99%

Spin networks and the big bang singularity avoidance in the AdS/CFT correspondence

Silva

2020

Preprint

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We propose a new version of the AdS/CF T correspondence, where polymer structures similar to Loop Quantum Cosmology spin networks can be induced on an isotropic and homogeneous flat Randall-Sundrum II brane, corresponding to the holographic duals of closed string states living in the bulk. Such polymer structures drive a discrete evolution of the braneworld spacetime that leads to the regularization of the Big Bang singularity. The present results show that the AdS/CF T conjecture can be a possible bridge between String theory and Loop Quantum Gravity.

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On the holographic basis of loop quantum cosmology

Cited by 11 publications

References 92 publications

Gravitational axial perturbations and quasinormal modes of loop quantum black holes

Gravitational axial perturbations and quasinormal modes of loop quantum black holes

Entropic corrected Newton’s law of gravitation and the loop quantum black hole gravitational atom

Spin networks and the big bang singularity avoidance in the AdS/CFT correspondence

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