Dark Energy and Some Alternatives: a Brief Overview

The high-quality cosmological data, which became available in the last decade, have thrusted upon us a rather preposterous composition for the universe which poses one of the greatest challenges theoretical physics has ever faced: the so-called dark energy. By focusing our attention on specific examples of dark energy scenarios, we discuss three different candidates for this dark component, namely, a decaying vacuum energy or time-varying cosmological constant [$\Lambda(t)$], a rolling homogeneous quintessence field ($\Phi$), and modifications in gravity due to extra spatial dimensions. As discussed, all these candidates [along with the vacuum energy or cosmological constant ($\Lambda$)] seem somewhat to be able to explain the current observational results, which hampers any definitive conclusion on the actual nature of the dark energy.Comment: 8 pages, 6 figures, Invited talk at XXVI Brazilian National Meeting on Particles and Fields, Sao Lourenco, Brazil. To appear in Brazilian Journal of Physics (2006

Energy Conditions and Segre Classification of Phantom Fields

Recent discoveries in the field of observational cosmology have provided increasing evidence that the Universe is undergoing a late time acceleration, which has also stimulated speculations on the nature of the dark component responsible for such a phenomenon. Among several candidates discussed in the current literature, phantom fields, an exotic scalar field with a negative kinetic term and that violates most of the classical energy conditions, appear as a real possibility according to recent observational analysis. In this paper we examine the invariant characterization for the energy-momentum tensor of phantom fields through the Segre algebraic classification in the framework of general relativity. We also discuss some constraints which are imposed on the values of $V(\phi)$ from the classical energy conditions.Comment: 4 pages, 1 figure, to appear in Phys. Lett.

Deflationary cosmology: constraints from angular size and ages of globular clusters

Observational constraints to a large class of decaying vacuum cosmologies are derived using the angular size data of compact radio sources and the latest age estimates of globular clusters. For this class of deflationary $\Lambda(t)$ models, the present value of the vacuum energy density is quantified by a positive $\beta$ parameter smaller than unity. In the case of milliarcsecond compact radio-sources, we find that the allowed intervals for $\beta$ and the matter density parameter $\Omega_m$ are heavily dependent on the value of the mean projected linear size $l$. For $l \simeq 20h^{-1} - 30h^{-1}$ pc, the best fit occurs for $\beta \sim 0.58$, $\Omega_{\rm{m}} \sim 0.58$, and $\beta \sim 0.76$, $\Omega_{\rm{m}} \sim 0.28$, respectively. This analysis shows that if one minimizes $\chi^{2}$ for the free parameters $l$, $\Omega_{\rm{m}}$ and $\beta$, the best fit for these angular size data corresponds to a decaying $\Lambda(t)$ with $\Omega_{\rm{m}} = 0.54$ $\beta=0.6$ and $l = 22.64h^{-1}$ pc. Constraints from age estimates of globular clusters and old high redshift galaxies are not so restrictive, thereby suggesting that there is no age crisis for this kind of $\Lambda(t)$ cosmologies.Comment: 6 pages, 3 figures, revised version to appear in Phys. Rev.

An interacting model for the cosmological dark sector

We discuss a new interacting model for the cosmological dark sector in which the attenuated dilution of cold dark matter scales as $a^{-3}f(a)$, where f(a) is an arbitrary function of the cosmic scale factor $a$. From thermodynamic arguments, we show that f(a) is proportional to entropy source of the particle creation process. In order to investigate the cosmological consequences of this kind of interacting models, we expand f(a) in a power series and viable cosmological solutions are obtained. Finally, we use current observational data to place constraints on the interacting function f(a).Comment: 5 pages, 3 figures, Phys. Rev. D (in press