Project Bartnik – 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.
Keywords:
quasi-local mass
calculus of variations
mathematical relativity
minimizing sequences

Involved staff

Managers

Department of Mathematics
Faculty of Science

Local organizational units

Department of Mathematics
Faculty of Science
University of Tübingen

Funders

Bonn, Nordrhein-Westfalen, Germany
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