In recent years, improved astrometric and spectroscopic techniques have opened the
possibility of measuring the temporal change of radial and transverse position of sources in …

Galaxy counts and recent measurements of the luminosity density in the near-infrared have
indicated the possibility that the local universe may be under-dense on scales of several …

Assuming the universe is spatially homogeneous on the largest scales lays the foundation
for almost all cosmology. This idea is based on the Copernican Principle, that we are not at a …

This paper looks at how inhomogeneous spacetime models may be significant for
cosmology. First it addresses how the averaging process may affect large-scale dynamics …

The apparent accelerating expansion of the universe is forcing us to examine the
foundational aspects of the standard model of cosmology—in particular, the fact that dark …

As the structures in our Universe are mapped out on ever larger scales, and with increasing
detail, the use of inhomogeneous models is becoming an essential tool for analyzing and …

The suggestion that we occupy a privileged position near the center of a large, nonlinear,
and nearly spherical void has recently attracted much attention as an alternative to dark …

It has been proposed that the observed dark energy can be explained by the effect of large-
scale nonlinear inhomogeneities. In this paper, we discuss how observations constrain …

Dark energy observations may be explained within general relativity using an
inhomogeneous Hubble-scale depression in the matter density and accompanying …

We use different particular classes of axially symmetric Szekeres Swiss-cheese models for
the study of the apparent dimming of the supernovae of type Ia. We compare the results with …