Gluing black holes along timelike geodesics

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Title (deu)

Speaker / Lecturer

Peter Hintz

ETH Zurich

Description (deu)

This talk was part of the Workshop on "Mathematical Relativity: Past, Present, Future" held at the ESI December 4 — 7, 2023. Given a smooth globally hyperbolic spacetime M satisfying the Einstein vacuum equations and a timelike geodesic C in M, I will describe the construction of a family of metrics g(ε) which are close to g away from C, and which near C describe a Kerr black hole of mass ε traveling along C. These metrics are formal solutions of the Einstein field equations in that they satisfy the field equations modulo O(ε^N) for all N. In the special case that M is itself a subextremal Kerr or Kerr-de Sitter black hole spacetime and C crosses the future event horizon, we can thus describe extreme mass ratio mergers to all orders in perturbation theory.

Keywords (deu)

MathematicsYvonne Choquet-BruhatCauchy problemEinstein equations

Subject (eng)

ÖFOS 2012 -- 1010 -- Mathematics

Type (eng)

lecture

Language

[eng]

Persistent identifier

https://phaidra.univie.ac.at/o:2041854

Date created

2023-12-07