Gluing charged black holes into de Sitter space

2025/04/11 by Verlemann, Markus
#35B40 35C20 35L05 (Secondary) #83C05 83C22 83C57 (Primary) #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2504.08869

Abstract

We extend Hintz's cosmological black hole gluing result to the Einstein-Maxwell system with positive cosmological constant by gluing multiple Reissner-Nordström or Kerr--Newman--de Sitter black holes into neighbourhoods of points in the conformal boundary of de Sitter space. We determine necessary and sufficient conditions on the black hole parameters -- related to Friedrich's conformal constraint equations -- for this gluing to be possible. We also improve the original gluing method slightly by showing that the construction of a solution in Taylor series may be accomplished using an exactness argument, eliminating the need for an early gauge-fixing.

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Related

• Black hole gluing in de Sitter space
• Stability of the expanding region of Kerr-de Sitter spacetimes and smoothness at the conformal boundary
• Charged black holes in Weyl conformal gravity
• Obstruction-free gluing for the Einstein equations
• The characteristic gluing problem for the Einstein equations and applications