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 language | English (US) |
|---|---|
| Pages (from-to) | 19-76 |
| Number of pages | 58 |
| Journal | Communications in Analysis and Geometry |
| Volume | 29 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2021 |
All Science Journal Classification (ASJC) codes
- Analysis
- Statistics and Probability
- Geometry and Topology
- Statistics, Probability and Uncertainty