46 citations · 46 across the 1 of their papers we have counts for
4 papers
Timelike and null focusing singularities in spherical symmetry: a solution to the cosmological horizon problem and a challenge to the cosmic censorship hypothesis
Marie-Noelle Celerier, Peter Szekeres
Extending the study of spherically symmetric metrics satisfying the dominant energy condition and exhibiting singularities of power-law type initiated in SI93, we identify two clas…
Post-Newtonian Cosmology
Tamath Rainsford, Peter Szekeres
Newtonian Cosmology is commonly used in astrophysical problems, because of its obvious simplicity when compared with general relativity. However it has inherent difficulties, the m…
Theorems on shear-free perfect fluids with their Newtonian analogues
J. M. M. Senovilla, C. F. Sopuerta, P. Szekeres
In this paper we provide fully covariant proofs of some theorems on shear-free perfect fluids. In particular, we explicitly show that any shear-free perfect fluid with the accelera…
The abstract boundary---a new approach to singularities of manifolds
Susan M. Scott, Peter Szekeres
A new scheme is proposed for dealing with the problem of singularities in General Relativity. The proposal is, however, much more general than this. It can be used to deal with man…