Nonexistence of axially symmetric, stationary solution of Einstein Vacuum Equation with disconnected symmetric event horizon

Yan Yan Li, Gang Tian

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

In this short note, we prove that if an axially symmetric, asymptotically flat, stationary solution of the Einstein Vacuum Equation admits an involution interchanging the components of the event horizons, then the force between at least two of the event horizons must be positive. The proof is based on an observation that in this case the force can be expressed as a line integral with positive integrand.

Original languageEnglish (US)
Pages (from-to)83-89
Number of pages7
JournalManuscripta Mathematica
Volume73
Issue number1
DOIs
StatePublished - Dec 1 1991

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Nonexistence of axially symmetric, stationary solution of Einstein Vacuum Equation with disconnected symmetric event horizon'. Together they form a unique fingerprint.

  • Cite this