71 citations · 554 across the 28 of their papers we have counts for
5 papers · 1 filter
Bounds on 2m/r for static perfect fluids
J. Mark Heinzle
For spherically symmetric relativistic perfect fluid models, the well-known Buchdahl inequality provides the bound , where denotes the surface radius and th…
Asymptotics of LRS Bianchi type I cosmological models with elastic matter
Simone Calogero, J. Mark Heinzle
In this paper we report on results in the study of spatially homogeneous cosmological models with elastic matter. We show that the behavior of elastic solutions is fundamentally di…
Relativistic Aberration for Accelerating Observers
Robert Beig, J. Mark Heinzle
We investigate the effects of the aberration of light for a uniformly accelerating observer. The observer we consider is initially at rest with respect to a luminous spherical obje…
Dynamics of Bianchi type I elastic spacetimes
Simone Calogero, J. Mark Heinzle
We study the global dynamical behavior of spatially homogeneous solutions of the Einstein equations in Bianchi type I symmetry, where we use non-tilted elastic matter as an anisotr…
The cosmological billiard attractor
J. Mark Heinzle, Claes Uggla, Niklas Rohr
This article is devoted to a study of the asymptotic dynamics of generic solutions of the Einstein vacuum equations toward a generic spacelike singularity. Starting from fundamenta…