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Quantum Analysis of BTZ Black Hole Formation Due to the Collapse of a Dust Shell
Alexander A. Andrianov, Artem Starodubtsev, Yasser Elmahalawy
We perform Hamiltonian reduction of a model in which 2+1 dimensional gravity with negative cosmological constant is coupled to a cylindrically symmetric dust shell. The resulting a…
Cylindrically symmetric 2+1 gravity in terms of global variables:quantum dynamics
Alexander A. Andrianov, Yasser Elmahalawy, Artem Starodubtsev
We perform quantization of a model in which gravity is coupled to a circular dust shell in 2+1 spacetime dimensions. Canonical analysis shows that momentum space of this model is A…
2+1-dimensional gravity coupled to a dust shell: quantization in terms of global phase space variables
Alexander Andrianov, Yasser Elmahalawy, Artem Starodubtsev
We perform canonical analysis of a model in which gravity is coupled to a spherically symmetric dust shell in 2+1 spacetime dimensions. The result is a reduced action depending on…
Remarks on the general solution for the flat Friedman universe with exponential scalar-field potential and dust
A. A. Andrianov, F. Cannata, A. Y. Kamenshchik
We show that the simple extension of the method of obtaining the general exact solution for the cosmological model with the exponential scalar-field potential to the case when the…
General solution of scalar field cosmology with a (piecewise) exponential potential
A. A. Andrianov, F. Cannata, A. Yu. Kamenshchik
We study in detail the general solution for a scalar field cosmology with an exponential potential, correcting some imprecisions, encountered previously in the literature. In addit…
Phantom without phantom or how the PT symmetry saves us from the Big Rip
A. A. Andrianov, F. Cannata, A. Y. Kamenshchik +1
We consider the PT symmetric flat Friedmann model of two scalar fields with positive kinetic terms. While the potential of one ("normal") field is taken real, that of the other fie…
Reconstruction of scalar potentials in two-field cosmological models
Alexander A. Andrianov, Francesco Cannata, Alexander Y. Kamenshchik +1
We study the procedure of the reconstruction of phantom-scalar field potentials in two-field cosmological models. It is shown that while in the one-field case the chosen cosmologic…
Symmetries and the cosmological constant puzzle
A. A. Andrianov, F. Cannata, P. Giacconi +2
We outline the evaluation of the cosmological constant in the framework of the standard field-theoretical treatment of vacuum energy and discuss the relation between the vacuum ene…
Complex Lagrangians and phantom cosmology
A. A. Andrianov, F. Cannata, A. Y. Kamenshchik
Motivated by the generalization of quantum theory for the case of non-Hermitian Hamiltonians with PT symmetry, we show how a classical cosmological model describes a smooth transit…
Phantom universe from CPT symmetric QFT
Alexander A. Andrianov, Francesco Cannata, Alexander Y. Kamenshchik
Inspired by the generalization of quantum theory for the case of non-Hermitian Hamiltonians with CPT symmetry, we construct a simple classical cosmological scalar field based model…
Smooth dynamical (de)-phantomization of a scalar field in simple cosmological models
Alexander A. Andrianov, Francesco Cannata, Alexander Y. Kamenshchik
Simple scalar field cosmological models are considered describing gravity assisted crossing of the phantom divide line. This crossing or (de)-phantomization characterized by the ch…