Concentration of small Hawking type surfaces
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Concentration of small Hawking type surfaces. / Friedrich, Alexander.
I: Differential Geometry and its Application, Bind 85, 101927, 2022, s. 1-23.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Concentration of small Hawking type surfaces
AU - Friedrich, Alexander
N1 - Publisher Copyright: © 2022
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
KW - Hawking energy
KW - Mathematical general relativity
KW - Quasi-local energy
KW - Willmore functional
UR - http://www.scopus.com/inward/record.url?scp=85136070987&partnerID=8YFLogxK
U2 - 10.1016/j.difgeo.2022.101927
DO - 10.1016/j.difgeo.2022.101927
M3 - Journal article
AN - SCOPUS:85136070987
VL - 85
SP - 1
EP - 23
JO - Differential Geometry and its Applications
JF - Differential Geometry and its Applications
SN - 0926-2245
M1 - 101927
ER -
ID: 317811910