Bartnik's definition of gravitational quasilocal energy is analyzed. For a wide class of systems Bartnik's function is given by the ADM mass of some vacuous extension. As an example we calculate mass of a non central ball in Schwarzschild geometry. The ratio mass to volume becomes singular in the limit of small volumes
In this paper, we obtain lower bounds for the Brown-York quasilocal mass and the Bartnik quasilocal ...
Pointlike objects cause many of the divergences that afflict physical theories. For instance, the gr...
In this thesis, we consider the recent definition of gravitational energy at the quasi-local level p...
This paper is a tribute to Robert Bartnik and his work and conjectures on quasi-local mass. We prese...
We show that in a generic scalar-tensor theory of gravity, the ``referenced'' quasilocal mass of a s...
The quasilocal energy of gravitational and matter fields in a spatially bounded region is obtained b...
We study how the standard definitions of ADM mass and Brown-York quasi-local energy generalize to pu...
Consider the definition E of quasilocal energy stemming from the Hamilton-Jacobi method as applied t...
We present a detailed examination of the variational principle for metric general relativity as appl...
The Misner–Sharp–Hernandez mass defined in general relativity and in spherical symmetry has been rec...
We define the energy of a perfectly isolated system at a given retarded time as the suitable null li...
A key feature of the Brown-York definition of quasilocal energy is that, under local boosts of the f...
We propose a method to define and investigate finite size systems in general relativity in terms of...
We give a definition of mass for conformally compactifiable initial data sets. The asymptotic condit...
The problems of the tolal energy and quasilocalenergy density or an isolated spherically symmetric s...
In this paper, we obtain lower bounds for the Brown-York quasilocal mass and the Bartnik quasilocal ...
Pointlike objects cause many of the divergences that afflict physical theories. For instance, the gr...
In this thesis, we consider the recent definition of gravitational energy at the quasi-local level p...
This paper is a tribute to Robert Bartnik and his work and conjectures on quasi-local mass. We prese...
We show that in a generic scalar-tensor theory of gravity, the ``referenced'' quasilocal mass of a s...
The quasilocal energy of gravitational and matter fields in a spatially bounded region is obtained b...
We study how the standard definitions of ADM mass and Brown-York quasi-local energy generalize to pu...
Consider the definition E of quasilocal energy stemming from the Hamilton-Jacobi method as applied t...
We present a detailed examination of the variational principle for metric general relativity as appl...
The Misner–Sharp–Hernandez mass defined in general relativity and in spherical symmetry has been rec...
We define the energy of a perfectly isolated system at a given retarded time as the suitable null li...
A key feature of the Brown-York definition of quasilocal energy is that, under local boosts of the f...
We propose a method to define and investigate finite size systems in general relativity in terms of...
We give a definition of mass for conformally compactifiable initial data sets. The asymptotic condit...
The problems of the tolal energy and quasilocalenergy density or an isolated spherically symmetric s...
In this paper, we obtain lower bounds for the Brown-York quasilocal mass and the Bartnik quasilocal ...
Pointlike objects cause many of the divergences that afflict physical theories. For instance, the gr...
In this thesis, we consider the recent definition of gravitational energy at the quasi-local level p...