Hypersurfaces embedded in conformal manifolds appear frequently as boundary data in
boundary-value problems in cosmology and string theory. Viewed as the non-null conformal …

Milne-like spacetimes are a class of k=-1 FLRW spacetimes which admit continuous
spacetime extensions through the big bang. In a previous paper Ling (Found. of Phys. 50 …

Milne-like spacetimes are a class of hyperboloidal FLRW spacetimes which admit
continuous spacetime extensions through the big bang, τ= 0. In a previous paper, it was …

A bstract We prove the achronal averaged null energy condition for general quantum field
theories in the near horizon geometry of spherical extremal black holes (ie AdS 2× S d− 2) …

The time separation function (or Lorentzian distance function) is a fundamental tool used in
Lorentzian geometry. For smooth spacetimes it is known to be lower semicontinuous, and, in …

Currently available topological censorship theorems are meant for gravitationally isolated
black hole spacetimes with cosmological constant Λ= 0 or Λ< 0. Here, we prove a …