71 citations · 554 across the 28 of their papers we have counts for
28 papers
Spike statistics
J. Mark Heinzle, Claes Uggla
In this paper we explore stochastical and statistical properties of so-called recurring spike induced Kasner sequences. Such sequences arise in recurring spike formation, which is…
Spike Oscillations
J. Mark Heinzle, Claes Uggla, Woei Chet Lim
According to Belinskii, Khalatnikov and Lifshitz (BKL), a generic spacelike singularity is characterized by asymptotic locality: Asymptotically, toward the singularity, each spatia…
Constant mean curvature slicings of Kantowski-Sachs spacetimes
J. Mark Heinzle
We investigate existence, uniqueness, and the asymptotic properties of constant mean curvature (CMC) slicings in vacuum Kantowski-Sachs spacetimes with positive cosmological consta…
The initial singularity of ultrastiff perfect fluid spacetimes without symmetries
J. Mark Heinzle, Patrik Sandin
We consider the Einstein equations coupled to an ultrastiff perfect fluid and prove the existence of a family of solutions with an initial singularity whose structure is that of ex…
Oscillations toward the singularity of LRS Bianchi type IX cosmological models with Vlasov matter
Simone Calogero, J. Mark Heinzle
We analyze the dynamics of a class of cosmological solutions of the Einstein-Vlasov equations. These equations describe an ensemble of collisionless particles (which represent gala…
On closed cosmological models that satisfy the strong energy condition but do not recollapse
Simone Calogero, J. Mark Heinzle
We show the existence of a rather general class of closed cosmological models of Bianchi type IX that do not exhibit recollapse but expand for all times. This is despite the fact t…