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In this paper extensions of the classical Fourier, fractional Fourier and Radon transforms to superspace are studied. Previously, a Fourier transform in superspace was already studied, but with a different kernel. In this work, the…

Classical Analysis and ODEs · Mathematics 2008-05-14 Hendrik De Bie

We study a cosmological setup consisting of a FRW metric as the background geometry with a massless scalar field in the framework of classical polymerization of a given dynamical system. To do this, we first introduce the polymeric…

General Relativity and Quantum Cosmology · Physics 2014-10-21 B. Vakili , K. Nozari , V. Hosseinzadeh , M. A. Gorji

We study the quantum cosmology of supersymmetric, homogeneous and isotropic, higher derivative models. We recall superfield actions obtained in previous works and give classically equivalent actions leading to second order equations for the…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Nephtalí Eliceo Martínez-Pérez , Cupatitzio Ramírez

A nonsingular emergent universe cosmology can be realized by a nonconventional spinor field as first developed in \cite{Cai:2012yf}. We study the mechanisms of generating scale-invariant primordial power spectrum of curvature perturbation…

High Energy Physics - Theory · Physics 2014-03-11 Yi-Fu Cai , Youping Wan , Xinmin Zhang

A new type of fluid matter model in general relativity is introduced, in which the fluid particles are subject to velocity diffusion without friction. In order to compensate for the energy gained by the fluid particles due to diffusion, a…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Simone Calogero

The modified gravity with 1/R term (R being scalar curvature) and the Einstein-Hilbert term is studied by incorporating the phantom scalar field. A number of cosmological solutions are derived in the presence of the phantom field in the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yulia A. Shaido , Akio Sugamoto

We investigate the cosmological evolution of an interacting phantom energy model in which the phantom field has interaction with the dark matter. We discuss the existence and stability of scaling solutions for two types of specific…

Astrophysics · Physics 2007-05-23 Zong-Kuan Guo , Rong-Gen Cai , Yuan-Zhong Zhang

A gravitational scenario is proposed where the euclidean action is invariant under the isotropic and homogeneous version of the euclidean {\it U(1)} group of local transformations of the scale factor and scalar matter field, interpreting…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pedro F. Gonzalez-Diaz

The idea of possible time or space variations of the `fundamental' constants of nature, although not new, is only now beginning to be actively considered by large numbers of researchers in the particle physics, cosmology and astrophysics…

Astrophysics · Physics 2009-11-07 C. J. A. P. Martins

We shall present a complete (compactified) dynamical systems analysis of the Quintom model comprised of an interacting quintessence scalar field and a phantom. We find a range for the model parameters $\kappa, \lambda$ such that there are…

General Relativity and Quantum Cosmology · Physics 2022-11-21 Jonathan Tot , Balkar Yildirim , Alan Coley , Genly Leon

We demonstrate that finite time singularities of Type IV can be consistently incorporated in the Universe's cosmological evolution, either appearing in the inflationary era, or in the late-time regime. While using only one scalar field…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Shin'ichi Nojiri , S. D. Odintsov , V. K. Oikonomou , Emmanuel N. Saridakis

Recently a Hamiltonian formulation for the evolution of the universe dominated by multiple oscillatory scalar fields was developed by the present author and was applied to the investigation of the evolution of cosmological perturbations on…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Takashi Hamazaki

We describe a rigorous construction, using matched asymptotic expansions, which establishes under very general conditions that local terrestrial and solar-system experiments will measure the effects of varying `constants' of Nature…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Douglas J. Shaw , John D. Barrow

We develop a technique for the reconstruction of the potential for a scalar field or a tachyon field, reproducing a given cosmological evolution in a closed and open isotropic cosmological models. Such potentials are explicitly written down…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Alexander Y. Kamenshchik , Serena Manti

It is shown that any spatially flat and isotropic universe undergoing accelerated expansion driven by a self-interacting scalar field can be directly related to a contracting, decelerating cosmology. The duality is made manifest by…

General Relativity and Quantum Cosmology · Physics 2009-11-10 James E. Lidsey

Phantom scalar theories are widely considered in cosmology, but rarely at the quantum level, where they give rise to negative-energy ghost particles. These cause decay of the vacuum into gravitons and photons, violating observational…

High Energy Physics - Phenomenology · Physics 2023-11-07 James M. Cline , Matteo Puel , Takashi Toma , Qiu Shi Wang

On the basis of the relativistic kinetic theory the mathematical model of cosmological plasmas with an attraction of the like charged scalar particles is formulated. It is shown, that cosmological the model, based on a classical scalar…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Yu. G. Ignat'ev

We discuss the physical consequences of making general phase space deformations on the minisuperspace of phantom cosmology. Based on the principle of physically equivalent descriptions in the deformed theory, we investigate for what values…

General Relativity and Quantum Cosmology · Physics 2018-01-11 J. L. Lopez , M. Sabido , C. Yee-Romero

In this work we extend and apply a previous proposal to study noncommutative cosmology to the FRW cosmological background coupled to a scalar field, this is done in classical and quantum scenarios. In both cases noncommutativity is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 W. Guzmán , M. Sabido , J. Socorro

We reconsider cosmological perturbation theory for multi-component scalars, enforcing covariance in field-space, and ensuring that phyical observations are independent of field re-definitions. We use the formalism to clarify some issues in…

High Energy Physics - Theory · Physics 2015-06-04 Paul M. Saffin
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