High frequency back reaction for the Einstein equations | Vidéo | Carmin.tv

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High frequency back reaction for the Einstein equations

By Cécile Huneau

Appears in collection : Asymptotic analysis of evolution equations / Analyse asymptotique des équations d'évolution

It has been observed by physicists (Isaacson, Burnett, Green-Wald) that metric perturbations of a background solution, which are small amplitude but with high frequency, yield at the limit to a non trivial contribution which corresponds to the presence of an energy impulsion tensor in the equation for the background metric. This non trivial contribution is of due to the nonlinearities in Einstein equations, which involve products of derivatives of the metric. It has been conjectured by Burnett that the only tensors which can be obtained this way are massless Vlasov, and it has been proved by Green and Wald that the limit tensor must be traceless and satisfy the dominant energy condition. The known exemples of this phenomena are constructed under symmetry reductions which involve two Killing fields and lead to an energy impulsion tensor which consists in at most two dust fields propagating in null directions. In this talk, I will explain our construction, under a symmetry reduction involving one Killing field, which leads to an energy impulsion tensor consisting in N dust fields propagating in arbitrary null directions. This is a joint work with Jonathan Luk (Stanford).

Information about the video

Date of recording 06/07/2017
Date of publication 13/07/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19192803
Cite this video Huneau, Cécile (06/07/2017). High frequency back reaction for the Einstein equations. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19192803
URL https://dx.doi.org/10.24350/CIRM.V.19192803

Domain(s)

Bibliography

Huneau, C., & Luk, J. (2017). High-frequency backreaction for the Einstein equations under polarized $\mathbb{U}(1)$ symmetry. <arXiv:1706.09501> - https://arxiv.org/abs/1706.09501

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