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Families of non time-symmetric initial data sets and Penrose-like energy inequalities
Univ Tubingen, Tubingen AI Ctr, Maria von Linden Str 6, D-72076 Tubingen, Germany..
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Analysis, Dynamics, Geometry, Number Theory and PDE.
2024 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 65, no 7, article id 072501Article in journal (Refereed) Published
Abstract [en]

Motivated by solving the constraint equations in the evolutionary form suggested by R & aacute;cz in 2016, we propose a family of asymptotically flat initial data sets which are "asymptotically spherically symmetric" at infinity. Within this family, we obtain Penrose-like energy estimates and establish the existence of solutions for the constraint equations in the spherical symmetric and totally umbilic cases.

Place, publisher, year, edition, pages
AIP Publishing , 2024. Vol. 65, no 7, article id 072501
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Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-351418DOI: 10.1063/5.0209344ISI: 001274910400001Scopus ID: 2-s2.0-85199448873OAI: oai:DiVA.org:kth-351418DiVA, id: diva2:1888323
Note

QC 20241007

Available from: 2024-08-12 Created: 2024-08-12 Last updated: 2024-10-07Bibliographically approved

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Wolff, Markus

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