Adapts Sbierski's proof to establish future C^0-inextendibility for warped-product black hole spacetimes with closed, connected, homogeneous, orientable fibres, including nonvacuum cases and multiple horizons.
On the Existence of a Maximal Cauchy Development for the Einstein Equations - a Dezornification
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
In 1969, Choquet-Bruhat and Geroch established the existence of a unique maximal globally hyperbolic Cauchy development of given initial data for the Einstein equations. Their proof, however, has the unsatisfactory feature that it relies crucially on the axiom of choice in the form of Zorn's lemma. In this paper we present a proof that avoids the use of Zorn's lemma. In particular, we provide an explicit construction of this maximal globally hyperbolic development.
fields
math.DG 2verdicts
UNVERDICTED 2representative citing papers
Introduces Lorentzian spaces as a weakening of Lorentzian length spaces and considers pointed Gromov-Hausdorff metrics, non-spacetime maximal examples, and canonical Cauchy development representatives.
citing papers explorer
-
$C^0$-inextendibility of a class of warped-product black hole spacetimes
Adapts Sbierski's proof to establish future C^0-inextendibility for warped-product black hole spacetimes with closed, connected, homogeneous, orientable fibres, including nonvacuum cases and multiple horizons.
-
Maximality and Cauchy developments of Lorentzian length spaces
Introduces Lorentzian spaces as a weakening of Lorentzian length spaces and considers pointed Gromov-Hausdorff metrics, non-spacetime maximal examples, and canonical Cauchy development representatives.