Add to ORKGThis paper is a tribute to Robert Bartnik and his work and conjectures on quasi-local mass. We present a framework in which to clearly analyse Bartnik's static vacuum extension conjecture. While we prove that this conjecture is not true in general, it remains a fundamental open problem to understand the realm of its validity.Comment: 32 page
This paper is in two parts. In the first part, the author makes a conjecture connected with Penrose'...
Liu and Yau (Phys.Rev.Lett. 90, 231102, 2003) propose a definition of quasi-local mass for any space...
In this thesis I investigate the emitted quasi normal modes for specific fields near various types o...
Bartnik's definition of gravitational quasilocal energy is analyzed. For a wide class of systems Bar...
We investigate Bartnik's static metric extension conjecture under the additional assumption of axisy...
We establish three new upper bounds on the Bartnik quasi-local mass of triples (S²,g,H) where S² is ...
We study how the standard definitions of ADM mass and Brown-York quasi-local energy generalize to pu...
In this paper, we obtain lower bounds for the Brown-York quasilocal mass and the Bartnik quasilocal ...
We study connections among the ADM mass, positive harmonic functions tending to zero at infinity, an...
We prove rigidity results involving the Hawking mass for surfaces immersed in a $3$-dimensional, com...
Asymptotically flat static causal fermion systems are introduced. Their total mass is defined as a l...
The rigidity of the spacetime positive mass theorem states that an initial data set $(M,g,k)$ satisf...
Given on the 2-sphere Bartnik data (prescribed metric and mean curvature) that is a small perturbati...
The original theory of quasi-metric gravity, admitting only a partial coupling between space-time ge...
Abstract. Consider a triple of “Bartnik data ” (Σ, γ,H), where Σ is a topological 2-sphere with Riem...
This paper is in two parts. In the first part, the author makes a conjecture connected with Penrose'...
Liu and Yau (Phys.Rev.Lett. 90, 231102, 2003) propose a definition of quasi-local mass for any space...
In this thesis I investigate the emitted quasi normal modes for specific fields near various types o...
Bartnik's definition of gravitational quasilocal energy is analyzed. For a wide class of systems Bar...
We investigate Bartnik's static metric extension conjecture under the additional assumption of axisy...
We establish three new upper bounds on the Bartnik quasi-local mass of triples (S²,g,H) where S² is ...
We study how the standard definitions of ADM mass and Brown-York quasi-local energy generalize to pu...
In this paper, we obtain lower bounds for the Brown-York quasilocal mass and the Bartnik quasilocal ...
We study connections among the ADM mass, positive harmonic functions tending to zero at infinity, an...
We prove rigidity results involving the Hawking mass for surfaces immersed in a $3$-dimensional, com...
Asymptotically flat static causal fermion systems are introduced. Their total mass is defined as a l...
The rigidity of the spacetime positive mass theorem states that an initial data set $(M,g,k)$ satisf...
Given on the 2-sphere Bartnik data (prescribed metric and mean curvature) that is a small perturbati...
The original theory of quasi-metric gravity, admitting only a partial coupling between space-time ge...
Abstract. Consider a triple of “Bartnik data ” (Σ, γ,H), where Σ is a topological 2-sphere with Riem...
This paper is in two parts. In the first part, the author makes a conjecture connected with Penrose'...
Liu and Yau (Phys.Rev.Lett. 90, 231102, 2003) propose a definition of quasi-local mass for any space...
In this thesis I investigate the emitted quasi normal modes for specific fields near various types o...