Dynamics of nonlinear scalar field with Robin boundary condition on the Schwarzschild--Anti-de Sitter background

Autor(en)

Filip Ficek, Maciej Maliborski

Abstrakt

This work concerns the dynamics of the conformal cubic scalar field on a Schwarzschild-anti-de Sitter background. The main focus is on understanding how it depends on the size of the black hole and the Robin boundary condition. We identify a critical curve in the parameter space that separates regions with distinct asymptotic behaviors. For defocusing nonlinearity, the global attractor undergoes a pitchfork bifurcation, whereas for the focusing case, we identify a region of the phase space where all solutions blow up in finite time. In the course of this study we observe an interplay between black hole geometry, boundary conditions, and the nonlinear dynamics of scalar fields in asymptotically anti-de Sitter spacetime.

Organisation(en)

Institut für Mathematik, Gravitationsphysik

Journal

Physical Review D

Band

109

Anzahl der Seiten

22

ISSN

2470-0010

DOI

https://doi.org/10.1103/PhysRevD.109.044015

Publikationsdatum

12-2023

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie, 103019 Mathematische Physik

Schlagwörter

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/53ce4b08-b185-439b-bb0d-cdf6a22eaca1