Concentration of small Hawking type surfaces

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

  • Alexander Friedrich

We investigate the Hawking energy of small surfaces in space times without symmetry assumptions by introducing the notion of Hawking type functionals. In particular, we find that Hawking type functionals are generalized Willmore functionals which allows us to find area constrained, minimizing, immersed, haunted bubble trees. These bubble trees are smooth spheres provided their area is small enough. Following a similar analysis of the Willmore functional conducted by T. Lamm and J. Metzger we characterize the concentration points of area constrained, critical surfaces for Hawking type functionals and the Hawking energy. Moreover, we determine their expansion on small surfaces.

OriginalsprogEngelsk
Artikelnummer101927
TidsskriftDifferential Geometry and its Application
Vol/bind85
Sider (fra-til)1-23
ISSN0926-2245
DOI
StatusUdgivet - 2022

Bibliografisk note

Funding Information:
The author was supported by the DFG project ME3816/1-2. Further, the author would like to thank Jan Metzger for his guidance and patience during the authors Ph.D. from which this article developed.

Publisher Copyright:
© 2022

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