Cosmological Parameters of a Smoothed Inhomogeneous Spacetime
نویسندگان
چکیده
We discuss the relation between ‘bare’ cosmological parameters as the true spatial average characteristics that determine the cosmological model, and the parameters interpreted by observers with a “Friedmannian bias”, i.e., within a homogeneous space geometry. We may say that the latter are ‘dressed’ by the smoothed–out geometrical inhomogeneities of the surveyed spatial region. We identify two effects that quantify the difference between ‘bare’ and ‘dressed’ parameters: ‘curvature backreaction’ and ‘volume effect’. An estimate of the latter is given in terms of a simple geometrical example.
منابع مشابه
Regional Averaging and Scaling in Relativistic Cosmology
Averaged inhomogeneous cosmologies lie at the forefront of interest, since cosmological parameters such as the rate of expansion or the mass density are to be considered as volume–averaged quantities and only these can be compared with observations. For this reason the relevant parameters are intrinsically scale–dependent and one wishes to control this dependence without restricting the cosmolo...
متن کاملSpacetimes admitting quasi-conformal curvature tensor
The object of the present paper is to study spacetimes admitting quasi-conformal curvature tensor. At first we prove that a quasi-conformally flat spacetime is Einstein and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying Einstein's field equation with cosmological constant is covariant constant. Next, we prove that if the perfect flui...
متن کاملGenerality of inflation in a planar universe.
abstract We study a generality of an inflationary scenario by integrating the Einstein equations numerically in a plane-symmetric spacetime. We consider the inhomogeneous spacetimes due to (i) localized gravitational waves with a positive cosmological constant Λ, and (ii) an inhomogeneous inflaton field Φ with a potential 1 2 m 2 Φ 2. For the case (i), we find that any initial inhomogeneities a...
متن کاملSingularity Free Inhomogeneous Cosmological Stiff Fluid Models
We present a singularity free class of inhomogeneous cylindrical universes filled with stiff perfect fluid (ρ = p). Its matter free (ρ = 0) limit yield two distinct vacuum spacetimes which can be considered as analogues of Kasner solution for inhomogeneous singularity free spacetime.
متن کاملInhomogeneous String Cosmology Solutions with Regular Spacetime Curvature
In this work cosmological models are considered for the low energy string cosmological effective action (tree level) in the absence of dilaton potential. A two parametric non-diagonal family of analytic solutions is found. The curvature is non singular, however the string coupling diverges exponentially.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003