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GR: Fachverband Gravitation und Relativitätstheorie
GR 5: Black Holes III
GR 5.2: Talk
Tuesday, March 12, 2024, 15:05–15:25, HBR 14: HS 2
Dynamics of nonlinear scalar field with Robin boundary condition on the Schwarzschild-Anti-de Sitter background — •Filip Ficek1,2 and Maciej Maliborski1,2 — 1University of Vienna, Faculty of Mathematics, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria — 2University of Vienna, Gravitational Physics, Boltzmanngasse 5, 1090 Vienna, Austria
We explore the dynamics of conformal cubic scalar fields on a Schwarzschild-anti-de Sitter background, focusing on the impact of black hole size and Robin boundary conditions. We identify a critical curve in parameter space that demarcates regions with distinct asymptotic behaviours. Key findings include a pitchfork bifurcation of stable solutions in case of the defocusing nonlinearity and existence of thresholds for finite-time blow-ups in the focusing scenario.
Keywords: black hole stability; anti-de Sitter; Robin boundary condition; Schwarzschild-anti de Sitter