Uniqueness of static black holes without analyticity

Piotr T Chruściel (1) , Gregory J Galloway (2)

1 University of Vienna [Vienna]
2 University of Miami

-- We show that the hypothesis of analyticity in the uniqueness theory of vacuum, or electrovacuum, static black holes is not needed. More generally, we show that prehorizons covering a closed set cannot occur in well-behaved domains of outer communications.

Mots clés: Physical Sciences

Piotr T Chruściel, Gregory J Galloway. Uniqueness of static black holes without analyticity. Classical and Quantum Gravity, 2010, 27 (15), pp.152001. ⟨10.1088/0264-9381/27/15/152001⟩. ⟨hal-00613867⟩