Stationary axisymmetric black holes with matter

Otis Chodosh, Yakov Shlapentokh-Rothman

Research output: Contribution to journalArticlepeer-review

Abstract

We provide a geometric framework for the construction of non-vacuum black holes whose metrics are stationary and axisymmetric. Under suitable assumptions we show that the Einstein equations reduce to an Einstein-harmonic map type system and analyze the compatibility of the resulting equations. This framework is fundamental to our construction [3] of metric-stationary axisymmetric bifurcations of Kerr solving the Einstein–Klein–Gordon system, and as such, we include specializations of all of our formulas to the case of a time-periodic massive scalar field.

Original languageEnglish (US)
Pages (from-to)19-76
Number of pages58
JournalCommunications in Analysis and Geometry
Volume29
Issue number1
DOIs
StatePublished - 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Statistics and Probability
  • Geometry and Topology
  • Statistics, Probability and Uncertainty

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