Loop quantum cosmology evolution operator of an FRW universe with a positive cosmological constant
نویسندگان
چکیده
The self-adjointness of an evolution operator corresponding to the model of the flat FRW universe with massless scalar field and cosmological constant quantized in the framework of loop quantum cosmology is studied in the case > 0. It is shown that, for < c 10:3‘ 2 Pl , the operator admits many self-adjoint extensions, each of the purely discrete spectrum. On the other hand for c the operator is essentially self-adjoint, however the physical Hilbert space of the model does not contain any physically interesting states.
منابع مشابه
Open FRW model in Loop Quantum Cosmology
Open FRW model in Loop Quantum Cosmology is under consideration. The left and right invariant vector fields and holonomies along them are studied. It is shown that in the hyperbolic geometry of k = −1 it is possible to construct a suitable loop which provides us with quantum scalar constraint originally introduced by Vandersloot [19]. Such an operator has correct geometrical interpretation. The...
متن کاملAn open FRW model in Loop Quantum Cosmology
Open FRW model in Loop Quantum Cosmology is under consideration. The left and right invariant vector fields and holonomies along them are studied. It is shown that in the hyperbolic geometry of k = −1 itis possible to construct a suitable loop which provides us with quantum scalar constraint originally introduced by Vandersloot [19]. The quantum scalar constraint operator with negative cosmolog...
متن کاملThe Einstein static universe in Loop Quantum Cosmology
Loop Quantum Cosmology strongly modifies the high-energy dynamics of Friedman-Robertson-Walker models and removes the big-bang singularity. We investigate how LQC corrections affect the stability properties of the Einstein static universe. In General Relativity, the Einstein static model with positive cosmological constant Λ is unstable to homogeneous perturbations. Using dynamical systems meth...
متن کاملExplicit Cosmological Coarse Graining via Spatial Averaging
The present matter density of the Universe, while highly inhomogeneous on small scales, displays approximate homogeneity on large scales. We propose that whereas it is justified to use the Friedmann-Robertson-Walker (FRW) line element (which describes an exactly homogeneous and isotropic universe) as a template to construct luminosity distances in order to compare observations with theory, the ...
متن کاملClosed FRW model in Loop Quantum Cosmology
The basic idea of the LQC applies to every spatially homogeneous cosmological model, however only the spatially flat (so called k = 0) case has been understood in detail in the literature thus far. In the closed (so called: k=1) case certain technical difficulties have been the obstacle that stopped the development. In this work the difficulties are overcome, and a new LQC model of the spatiall...
متن کامل