Darboux transformations in the interior of nonrotating black holes

22 May 2025, 17:20
40m
ECAP Laboratory Building

ECAP Laboratory Building

Nikolaus-Fiebiger-Straße 2 91058 Erlangen
invited talk Session 6

Speaker

Guillermo A. Mena Marugán (IEM, CSIC)

Description

There is a growing interest in investigating Kantowski-Sachs cosmologies owing to their relation with the interior of nonrotating, uncharged black holes. In particular, we recently developed a Hamiltonian formulation of axial perturbations for a massless scalar field minimally coupled to these cosmologies, describing physical perturbations by gauge invariants. Adopting this formulation, we offer a clear geometric interpretation of Darboux transformations between (axial) gauge invariants, understanding them as generalized canonical transformations that preserve the Hamiltonian structure of the perturbations in the black hole interior.

Primary author

Guillermo A. Mena Marugán (IEM, CSIC)

Co-author

Andrés Mínguez-Sánchez (IEM-CSIC)

Presentation materials