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Homogeneous Loop Quantum Cosmology [PDF]
Classical and Quantum Gravity, 2003 Loop quantum cosmological methods are extended to homogeneous models in diagonalized form. It is shown that the diagonalization leads to a simplification of the volume operator such that its spectrum can be determined explicitly.
Ashtekar A +19 more
core +7 more sources
Testing loop quantum cosmology [PDF]
Comptes Rendus Physique 18 (2017) 207-225, 2016 Loop quantum cosmology predicts that quantum gravity effects resolve the big-bang singularity and replace it by a cosmic bounce. Furthermore, loop quantum cosmology can also modify the form of primordial cosmological perturbations, for example by reducing power at large scales in inflationary models or by suppressing the tensor-to-scalar ratio in the ...
Wilson-Ewing, Edward
arxiv +8 more sources
Introduction to Loop Quantum Cosmology [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 This is an introduction to loop quantum cosmology (LQC) reviewing mini- and midisuperspace models as well as homogeneous and inhomogeneous effective dynamics.
Kinjal Banerjee +2 more
doaj +11 more sources
Higher dimensional Loop Quantum Cosmology [PDF]
Eur. Phys. J. C (2016) 76: 395, 2015 Loop quantum cosmology(LQC) is the symmetric model of loop quantum gravity. In this paper, we generalize the structure of loop quantum cosmology to the theories with arbitrary spacetime dimensions. The isotropic and homogenous cosmological model in n+1 dimensions is quantized by the loop quantization method.
Zhang, Xiangdong
arxiv +7 more sources
Noncommutativity in Effective Loop Quantum Cosmology
Advances in High Energy Physics, 2019 We construct a noncommutative extension of the Loop Quantum Cosmology effective scheme for the flat FLRW model with a free scalar field via a theta deformation.
Abraham Espinoza-García +3 more
doaj +4 more sources
Loop quantum cosmology and singularities [PDF]
Scientific Reports, 2017 Loop quantum gravity is believed to eliminate singularities such as the big bang and big crunch singularity. This belief is based on studies of so-called loop quantum cosmology which concerns symmetry-reduced models of quantum gravity. In this paper, the
Ward Struyve
doaj +6 more sources
Living Reviews in Relativity, 2005 Quantum gravity is expected to be necessary in order to understand situations where classical general relativity breaks down. In particular in cosmology one has to deal with initial singularities, i.e., the fact that the backward evolution of a classical
Bojowald Martin
doaj +12 more sources
Comments on the kinematical structure of loop quantum cosmology [PDF]
Class.Quant.Grav. 21 (2004) L109, 2004 We comment on the presence of spurious observables and on a subtle violation of irreducibility in loop quantum cosmology.
José M. Velhinho
arxiv +3 more sources
Hybrid Loop Quantum Cosmology: An Overview [PDF]
Frontiers in Astronomy and Space Sciences, 2021 Loop Quantum Gravity is a nonperturbative and background independent program for the quantization of General Relativity. Its underlying formalism has been applied successfully to the study of cosmological spacetimes, both to test the principles and ...
Beatriz Elizaga Navascués +1 more
doaj +5 more sources
Dynamical behavior of interacting dark energy in loop quantum cosmology [PDF]
Int.J.Mod.Phys.A25:4993-5007,2010, 2010 The dynamical behaviors of interacting dark energy in loop quantum cosmology are discussed in this paper. Based on defining three dimensionless variables, we simplify the equations of the fixed points. The fixed points for interacting dark energy can be determined by the Friedmann equation coupled with the dynamical equations {in Einstein cosmology ...
Chen X.-M. +5 more
arxiv +3 more sources