Séminaire de Mathématique

# The inextendibility of the Schwarzschild spacetime as a Lorentzian manifold with a continuous metric

## by Prof. Jan SBIERSKI (Cambridge, UK)

Europe/Paris
Centre de conférences Marilyn et James Simons (IHES)

### Centre de conférences Marilyn et James Simons

#### IHES

Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
Description

Séminaire de Relativité Générale Mathématique

The maximal analytic Schwarzschild spacetime is manifestly inextendible as a Lorentzian manifold with a twice continuously differentiable metric. In this talk I will describe how one proves the stronger statement that the maximal analytic Schwarzschild spacetime is inextendible as a Lorentzian manifold with a continuous metric. The investigation of low-regularity inextendibility criteria is motivated by the strong cosmic censorship conjecture in general relativity.

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