26 citations · 26 across the 1 of their papers we have counts for
5 papers
Matching Spherical Dust Solutions to Construct Cosmological Models
D. R. Matravers, N. P. Humphreys
Conditions for smooth cosmological models are set out and applied to inhomogeneous spherically symmetric models constructed by matching together different Lemaitre-Tolman-Bondi sol…
Exact isotropic cosmologies with local fractal number counts
Neil Humphreys, David Matravers, Roy Maartens
We construct an exact relativistic cosmology in which an inhomogeneous but isotropic local region has fractal number counts and matches to a homogeneous background at a scale of th…
Regular spherical dust spacetimes
Neil Humphreys, Roy Maartens, David Matravers
Physical (and weak) regularity conditions are used to determine and classify all the possible types of spherically symmetric dust spacetimes in general relativity. This work unifie…
Anisotropic Observations in Universes with Nonlinear Inhomogeneity
Neil Humphreys, Roy Maartens, David Matravers
We calculate the off--center observational relations in a spherically symmetric dust universe that is inhomogeneous at small redshifts. In contrast to the usual model, in which the…
Inhomogeneous universes in observational coordinates
Roy Maartens, Neil Humphreys, David Matravers +1
Isotropic inhomogeneous dust universes are analysed via observational coordinates based on the past light cones of the observer's galactic worldline. The field equations are reduce…