ProjectBartnik – PPP Australien: Bartniks Massenfunktional -- Cederbaum, McCormick
Basic data
Acronym:
Bartnik
Title:
PPP Australien: Bartniks Massenfunktional -- Cederbaum, McCormick
Duration:
01/01/2016 to 31/12/2017
Abstract / short description:
This project is in Mathematical General Relativity (GR). In 1989, Robert Bartnik defined a functional assigning a “mass” to a set of “Bartnik data“: a Riemannian metric and a prescribed (positive) mean curvature function H on the 2-sphere. This mass is defined as the infimum of the total (ADM) mass over all asymptotically flat Riemannian manifolds with non-negative scalar curvature into which the given data isometrically embed as outer minimizing inner boundary. Bartnik’s mass is relevant for the theoretical foundations of GR as it satisfies many desirable properties suggested by Christodoulou-Yau.
Understanding whether minimizers exist is crucial for physical applicability of Bartnik’s mass.
Understanding whether minimizers exist is crucial for physical applicability of Bartnik’s mass.
Keywords:
quasi-local mass
calculus of variations
mathematical relativity
minimizing sequences
Involved staff
Managers
Department of Mathematics
Faculty of Science
Faculty of Science
LEAD Graduate School & Research Network
Central cross-faculty facilities
Central cross-faculty facilities
Tübinger Forum for Science and Humanities (TFW)
Branch offices and other central facilities
Branch offices and other central facilities
Tübingen School of Education (TüSE)
Central cross-faculty facilities
Central cross-faculty facilities
Local organizational units
Department of Mathematics
Faculty of Science
University of Tübingen
University of Tübingen
Funders
Bonn, Nordrhein-Westfalen, Germany