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Andrzej Rostworowski (Cracow): Higher order perturbations of Anti-de Sitter space and time-periodic solutions of vacuum Einstein equations

Donnerstag, 23. März 2017, 14:00

Ort:  Raum 218, Währinger Str. 17, 2. Stock

Motivated by the problem of stability of Anti-de Sitter (AdS) spacetime, I will discuss nonlinear gravitational perturbations of maximally symmetric solutions of vacuum Einstein equations in general and the case of AdS in particular. I will present the evidence that, similarly to the self-gravitating scalar field at spherical symmetry, the negative cosmological constant allows for the existence of globally regular, asymptotically AdS, time-periodic solutions of vacuum Einstein equations that bifurcate from linear eigenfrequencies of AdS. Interestingly, preliminary results ndicate that the number of time-periodic solutions bifurcating from a given eigenfrequency equals the multiplicity of this eigenfrequency.
The talk will be based on the recent preprint https://arxiv.org/abs/1701.07804

Fakultät für Physik
Universität Wien

Boltzmanngasse 5
1090 Wien

Öffnungszeiten Dekanat:
Di, Mi, Fr 9-12 Uhr
Do 14-16 Uhr

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