Open Access
Fall and Winter 2016 A note on nonexistence of multiple black holes in static vacuum Einstein space–times
H. Baltazar, B. Leandro
Illinois J. Math. 60(3-4): 811-818 (Fall and Winter 2016). DOI: 10.1215/ijm/1506067292

Abstract

The purpose of this note is to study the static vacuum Einstein space–time with half harmonic Weyl tensor, that is, $\delta W^{+}=0$. We prove that there are no multiple black holes on a four-dimensional static vacuum Einstein space–time with half harmonic Weyl tensor.

Citation

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H. Baltazar. B. Leandro. "A note on nonexistence of multiple black holes in static vacuum Einstein space–times." Illinois J. Math. 60 (3-4) 811 - 818, Fall and Winter 2016. https://doi.org/10.1215/ijm/1506067292

Information

Received: 13 October 2016; Revised: 11 April 2017; Published: Fall and Winter 2016
First available in Project Euclid: 22 September 2017

zbMATH: 06790328
MathSciNet: MR3707642
Digital Object Identifier: 10.1215/ijm/1506067292

Subjects:
Primary: 53C20 , 53C21 , 53C25
Secondary: 53C65

Rights: Copyright © 2016 University of Illinois at Urbana-Champaign

Vol.60 • No. 3-4 • Fall and Winter 2016
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