On the nonlinear stability of asymptotically anti-de Sitter solutions

By Ó. J. Dias, G. Horowitz, D. Marolf, Jorge E Santos. 2012

187 citations recorded by the source corpus.

Despite the recent evidence that anti-de Sitter (AdS) spacetime is nonlinearly unstable, we argue that many asymptotically AdS solutions are nonlinearly stable. This includes geons, boson stars and black holes. As part of our argument, we calculate the frequencies of long-lived gravitational quasinormal modes of AdS black holes in various dimensions. We also discuss a new class of asymptotically AdS solutions describing noncoalescing black hole binaries.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4130b8460566cf477ac7bd291a9c91fc3fef60ee

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Citations in the corpus

Slowly decaying waves on spherically symmetric spacetimes and ultracompact neutron stars (2014, background): “See [17], [18] and [19] for further details of the properties of these objects.”
Boson stars in AdS spacetime (2013, background): “These observations prompted a thorough study of the instability in AdS; independent work via perturbative studies also pointed out that AdS should be stable for several families of solutions [8].”
Dynamical boson stars (2012, background): “The instability of these geons, black holes, and boson stars were studied in [163] in the context of the turbulent instability reported in [60], but later these authors argued for their nonlinear stability [162].”
The interior of dynamical vacuum black holes I: The $C^0$-stability of the Kerr Cauchy horizon (2017, background): “If this is the case, then all bets are off regarding the validity of either weak or strong cosmic censorship! Alternatively, however, the linear picture of slow logarithmic decay could survive in the full non-linear theory, as is suggested in [40].”
Holographic Quantum Matter (2016, unknown): “This is manifested holographically in fully nonlinear solutions of Einstein’s equations in asymptotically Anti-de Sitter spacetime which oscillate: for example, gravitational analogues of standing waves which are nonlinearly stabilized [115; 203].”
Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS (2013, background): “They describe the scalar normal mode frequencies and the associated angular eigenvalues of global AdS given by [19, 21],”
Numerical methods for finding stationary gravitational solutions (2015, background): “[490] O.”