78 citations · 119 across the 7 of their papers we have counts for
7 papers
Collapsing regions and black hole formation
Gregory A. Burnett
Up to a conjecture in Riemannian geometry, we significantly strengthen a recent theorem of Eardley by proving that a compact region in an initial data surface that is collapsing su…
Existence of maximal hypersurfaces in some spherically symmetric spacetimes
Gregory A. Burnett, Alan D. Rendall
We prove that the maximal development of any spherically symmetric spacetime with collisionless matter (obeying the Vlasov equation) or a massless scalar field (obeying the massles…
Just how long can you live in a black hole and what can be done about it?
Gregory A. Burnett
We study the problem of how long a journey within a black hole can last. Based on our observations, we make two conjectures. First, for observers that have entered a black hole fro…
Counterexample to the passive topological censorship of K(pi,1) prime factors
Gregory A. Burnett
A globally hyperbolic asymptotically flat spacetime is presented (having non-negative energy density and pressures) that shows that not all K(pi,1) prime factors of the Cauchy surf…
Lifetimes of spherically symmetric closed universes
Gregory A. Burnett
It is proven that any spherically symmetric spacetime that possesses a compact Cauchy surface and that satisfies the dominant-energy and non-negative-pressures conditions must…
Closed spherically symmetric massless scalar field spacetimes have finite lifetimes
Gregory A. Burnett
The closed-universe recollapse conjecture is studied for a class of closed spherically symmetric spacetimes which includes those having as a matter source: (1) a massless scalar fi…