Proves some flat spacetimes can't be extended smoothly.
problem Proving smooth extension of certain FLRW spacetimes.
method Utilizing Sbierski's -inextendibility techniques.
result Proves -inextendibility of spatially flat FLRW spacetimes.
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New proof shows FLRW spacetimes can't be extended smoothly in certain axisymmetric cases.
problem Proving smooth extension of FLRW spacetimes in specific spacetime classes.
method Extending previous work on spherically symmetric spacetimes to axisymmetric spacetimes.
result Demonstrates -inextendibility for FLRW spacetimes in a subclass of axisymmetric spacetimes.
Warped-product black hole spacetimes are -inextendible.
problem Future -inextendibility of warped-product black hole spacetimes
method Adapting Sbierski's proof for a broad class of warped-product black hole spacetimes
result Future -inextendibility established for spacetimes with a static exterior region
The paper proves that certain FLRW spacetimes cannot be extended past the big bang.
problem The singularity structure of FLRW spacetimes without particle horizons at the -level.
method Analyzing the singularity structure of FLRW spacetimes with constant spatial curvature.
result A geometric obstruction prevents continuous spacetime extensions for a wide range of scale factors in the case of .
The existence, established over the past number of years and supporting earlier work of Ori [14], of physically relevant black hole spacetimes that admit metric extensions beyond the future Cauchy horizon, while being -inextendible, has focused attention on fundamental issues concerning the strong cosmic cen…
Study shows nonextendibility of warped spacelike singularities in specific spacetimes.
problem Nonextendibility of warped spacelike singularities in specific spacetimes.
method Establishes a local obstruction through integrability conditions and radial compression.
result Imply -inextendibility for the one-horizon Birmingham-Kottler family.
The study of low regularity (in-)extendibility of Lorentzian manifolds is motivated by the question whether a given solution to the Einstein equations can be extended (or is maximal) as a weak solution. In this paper we show that a timelike complete and globally hyperbolic Lorentzian manifold is -inextendible. For…
The maximal analytic Schwarzschild spacetime is manifestly inextendible as a Lorentzian manifold with a twice continuously differentiable metric. In this paper, we prove the stronger statement that it is even inextendible as a Lorentzian manifold with a continuous metric. To capture the obstruction to continuous extens…
We initiate a series of works where we study the interior of dynamical rotating vacuum black holes without symmetry. In the present paper, we take up the problem starting from appropriate Cauchy data for the Einstein vacuum equations defined on a hypersurface already within the black hole interior, representing the exp…