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A Brief Introduction to Loop Quantum Cosmology [PDF]
In recent years, Loop Quantum Gravity has emerged as a solid candidate for a nonperturbative quantum theory of General Relativity. It is a background independent theory based on a description of the gravitational field in terms of holonomies and fluxes ...
Marugan, Guillermo A. Mena
core +7 more sources
Loop quantum cosmology: Recent progress [PDF]
Aspects of the full theory of loop quantum gravity can be studied in a simpler context by reducing to symmetric models like cosmological ones. This leads to several applications where loop effects play a significant role when one is sensitive to the quantum regime.
Martin Bojowald
openalex +7 more sources
Inflationary universe in loop quantum cosmology [PDF]
Loop quantum cosmology provides a nice solution of avoiding the big bang singularity through a big bounce mechanism in the high energy region. In loop quantum cosmology an inflationary universe is emergent after the big bounce, no matter what matter ...
Ashtekar A+25 more
core +2 more sources
Variational methods in loop quantum cosmology [PDF]
An action functional for the loop quantum cosmology difference equation is presented. It is shown that by guessing the general form of the solution and optimizing the action functional with respect to the parameters in the guessed solution one can obtain approximate solutions which are reasonably good.
F. Shojai, Ali Shojai
openalex +6 more sources
Quantum-Reduced Loop Gravity: Cosmology [PDF]
We introduce a new framework for loop quantum gravity: mimicking the spinfoam quantization procedure we propose to study the symmetric sectors of the theory imposing the reduction weakly on the full kinematical Hilbert space of the canonical theory. As a first application of Quantum-Reduced Loop Gravity we study the inhomogeneous Bianchi I model.
ALESCI, Emanuele, Cianfrani F.
arxiv +5 more sources
On the Onset of Inflation in Loop Quantum Cosmology [PDF]
Using a Liouville measure, similar to the one proposed recently by Gibbons and Turok, we investigate the probability that single-field inflation with a polynomial potential can last long enough to solve the shortcomings of the standard hot big bang model,
A. Ashtekar+7 more
core +4 more sources
Cosmological Footprints of Loop Quantum Gravity [PDF]
Accepted by Phys. Rev.
Julien Grain, Aurélien Barrau
openalex +8 more sources
Numerical Techniques in Loop Quantum Cosmology [PDF]
In this article, we review the use of numerical techniques to obtain solutions for the quantum Hamiltonian constraint in loop quantum cosmology (LQC).
David Brizuela+2 more
doaj +5 more sources
Loop quantum gravity and cosmological constant
A one-parameter regularization freedom of the Hamiltonian constraint for loop quantum gravity is analyzed. The corresponding spatially flat, homogenous and isotropic model includes the two well-known models of loop quantum cosmology as special cases. The
Xiangdong Zhang, Gaoping Long, Yongge Ma
doaj +4 more sources
Mass Hierarchies and Quantum Gravity Constraints in DKMM‐refined KKLT
Abstract We carefully revisit the mass hierarchies for the KKLT scenario with an uplift term from an anti D3‐brane in a strongly warped throat. First, we derive the bound resulting from what is usually termed “the throat fitting into the bulk” directly from the Klebanov‐Strassler geometry.
Ralph Blumenhagen+2 more
wiley +1 more source