TY - JOUR
T1 - Stationary axisymmetric black holes with matter
AU - Chodosh, Otis
AU - Shlapentokh-Rothman, Yakov
N1 - Funding Information:
OC acknowledges support from an EPSRC Programme Grant entitled “Singularities of Geometric Partial Differential Equations,” no. EP/K00865X/1. YS acknowledges support from the NSF Postdoctoral Research Fellowship under award no. 1502569.
Publisher Copyright:
© 2021 International Press of Boston, Inc.. All rights reserved.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
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U2 - 10.4310/CAG.2021.V29.N1.A2
DO - 10.4310/CAG.2021.V29.N1.A2
M3 - Article
AN - SCOPUS:85103569674
SN - 1019-8385
VL - 29
SP - 19
EP - 76
JO - Communications in Analysis and Geometry
JF - Communications in Analysis and Geometry
IS - 1
ER -