AdS instability: resonant system for gravitational perturbations of AdS5 in the cohomogeneity-two biaxial Bianchi IX ansatz

• Main Authors: Dominika Hunik-Kostyra, Andrzej Rostworowski
• Format: Article
• Language: English
• Published: SpringerOpen 2020-06-01
• Series: Journal of High Energy Physics
• Subjects: AdS-CFT Correspondence; Classical Theories of Gravity
• Online Access: http://link.springer.com/article/10.1007/JHEP06(2020)002

Abstract We consider five-dimensional, vacuum Einstein equations with negative cosmological constant within cohomogenity-two biaxial Bianchi IX ansatz. This model allows to investigate the stability of AdS without adding any matter to the energy-momentum tensor, thus analyzing instability of genuine gravitational degrees of freedom. We derive the resonant system and identify vanishing secular terms. The results resemble those obtained for Einstein equations coupled to a spherically-symmetric, massless scalar field, backing the evidence that the scalar field model captures well the relevant features of AdS instability problem. We also list recurrence relations for the interaction coefficients of the resonant system, which might be useful in both numerical simulations and further analytical studies.