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We present general exact solutions for two classes of exponential potentials in scalar field models for quintessence. The coupling is minimal and we consider only dust and scalar field. To some extent, it is possible to reproduce…

天体物理学 · 物理学 2008-11-26 C. Rubano , P. Scudellaro

Results of a general study on the dynamics of cosmological scalar fields with arbitrary potentials are presented. Exact and approximate attractor solutions are found, with applications to quintessence, moduli stabilization and inflation.

天体物理学 · 物理学 2007-05-23 F. Rosati

We present a phase-space analysis of cosmology containing multiple scalar fields with a positive or negative cross-coupling exponential potential. We show that there exist power-law kinetic-potential-scaling solutions for a sufficiently…

高能物理 - 理论 · 物理学 2007-05-23 Zong-Kuan Guo , Yun-Song Piao , Rong-Gen Cai , Yuan-Zhong Zhang

We present a phase-space analysis of cosmology containing multiple scalar fields with positive and negative exponential potentials. We show that there exist power-law multi-kinetic-potential scaling solutions for sufficiently flat positive…

高能物理 - 理论 · 物理学 2009-11-10 Zong-Kuan Guo , Yun-Song Piao , Yuan-Zhong Zhang

We construct the general analytical solution for the $\mathcal{N}$-field product-exponential potential in an expanding FLRW background. We demonstrate the relevance of this analytical solution in more general contexts for the derivation of…

宇宙学与河外天体物理 · 物理学 2021-06-01 Perseas Christodoulidis

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 dust is present fails and we discuss the reasons of this…

广义相对论与量子宇宙学 · 物理学 2015-06-05 A. A. Andrianov , F. Cannata , A. Y. Kamenshchik

Some exact solutions for the Einstein field equations corresponding to inhomogeneous $G_2$ cosmologies with an exponential-potential scalar field which generalize solutions obtained previously are considered. Several particular cases are…

广义相对论与量子宇宙学 · 物理学 2016-08-15 A. Feinstein , J. Ibáñez , P. Labraga

In this paper we consider cosmological scaling solutions in general relativity coupled to scalar fields with a non-trivial moduli space metric. We discover that the scaling property of the cosmology is synonymous with the scalar fields…

高能物理 - 理论 · 物理学 2009-11-11 Josef L. P. Karthauser , P. M. Saffin

We show that the general solution of scalar field cosmology in $d$ dimensions with exponential potentials for flat Robertson-Walker metric can be found in a straightforward way by introducing new variables which completely decouple the…

高能物理 - 理论 · 物理学 2009-11-10 Jorge G. Russo

Observations suggest, that there may be periods in the history of the universe, including the present one, in which its evolution is driven by scalar fields. This paper is concerned with the solution of the evolution equations for a…

广义相对论与量子宇宙学 · 物理学 2013-01-16 J. W. van Holten

Phase-space descriptions are used to find qualitative features of the solutions of generalized scalar field cosmologies with arbitrary potentials and arbitrary couplings to matter. Previous results are summarized and new ones are presented…

广义相对论与量子宇宙学 · 物理学 2020-12-01 Genly Leon , Felipe Orlando Franz Silva

In this article we present a new exact solution for scalar field with cosmological constant in cylindrical symmetry. Associated cosmological models is discussed. One of them describes a Cyclic universe.

广义相对论与量子宇宙学 · 物理学 2010-01-07 Davood Momeni , H. Miraghaei

We discuss different aspects of modern cosmology through a scalar field potential construction method. We discuss the case of negative potential cosmologies and its relation with oscillatory cosmic evolution, models with a explicit…

天体物理学 · 物理学 2009-11-10 Victor H. Cardenas , Sergio del Campo

An attractive method of obtaining an effective cosmological constant at the present epoch is through the potential energy of a scalar field. Considering models with a perfect fluid and a scalar field, we classify all potentials for which…

天体物理学 · 物理学 2009-07-09 Andrew R Liddle , Robert J Scherrer

We study solutions of exponential polynomials over the complex field. Assuming Schanuel's conjecture we prove that certain polynomials have generic solutions in the complex field.

逻辑 · 数学 2016-02-08 P. D'Aquino , A. Fornasiero , G. Terzo

We develop a framework to study the phase space of a system consisting of a scalar field rolling down an arbitrary potential with varying slope and a background fluid, in a cosmological setting. We give analytical approximate solutions of…

天体物理学 · 物理学 2008-11-26 S. C. C. Ng , N. J. Nunes , F. Rosati

We present a phase-plane analysis of cosmologies containing a scalar field $\phi$ with an exponential potential $V \propto \exp(-\lambda \kappa \phi)$ where $\kappa^2 = 8\pi G$ and $V$ may be positive or negative. We show that power-law…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Imogen P. C. Heard , David Wands

We show that a general, exact cosmological solution, where dynamics of scalar field is assigned by an exponential potential, fulfils all the issues of dark energy approach, both from a theoretical point of view and in comparison with…

天体物理学 · 物理学 2008-11-26 C. Rubano , P. Scudellaro , E. Piedipalumbo , S. Capozziello , M. Capone

We study the existence and stability of cosmological scaling solutions of a non-minimally coupled scalar field evolving in either an exponential or inverse power law potential. We show that for inverse power law potentials there exist…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Jean-Philippe Uzan

The global behavior of scalar field cosmological models with very hard potential walls is investigated via the simple example of an exponentially steep potential well. It is found that the solutions exhibit a non-trivial oscillatory…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. Foster
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