179 citations · 494 across the 8 of their papers we have counts for
6 papers · 1 filter
On the curvature of the present-day Universe
Thomas Buchert, Mauro Carfora
We discuss the effect of curvature and matter inhomogeneities on the averaged scalar curvature of the present-day Universe. Motivated by studies of averaged inhomogeneous cosmologi…
An exact Lagrangian integral for the Newtonian gravitational field strength
Thomas Buchert
An exact expression for the gravitational field strength in a self-gravitating dust continuum is derived within the Lagrangian picture of continuum mechanics. From the Euler-Newton…
The universe seen at different scales
G. F. R. Ellis, T. Buchert
A large-scale smoothed-out model of the universe ignores small-scale inhomogeneities, but the averaged effects of those inhomogeneities may alter both observational and dynamical r…
A cosmic equation of state for the inhomogeneous Universe: can a global far-from-equilibrium state explain Dark Energy?
Thomas Buchert
A system of effective Einstein equations for spatially averaged scalar variables of inhomogeneous cosmological models can be solved by providing a `cosmic equation of state'. Recen…
Information Entropy in Cosmology
Akio Hosoya, Thomas Buchert, Masaaki Morita
The effective evolution of an inhomogeneous cosmological model may be described in terms of spatially averaged variables. We point out that in this context, quite naturally, a meas…
Matter seen at many scales and the geometry of averaging in relativistic cosmology
Thomas Buchert, Mauro Carfora
We investigate the scale-dependence of Eulerian volume averages of scalar functions on Riemannian three-manifolds. We propose a complementary view of a Lagrangian scaling of variab…