# Center of mass integral in canonical general relativity

@article{Baskaran2003CenterOM, title={Center of mass integral in canonical general relativity}, author={Deepak Baskaran and Stephen R. Lau and Arizona State and Cardiff and Chapel Hill}, journal={Annals of Physics}, year={2003}, volume={307}, pages={90-131} }

## 18 Citations

### On limit behavior of quasi-local mass for ellipsoids at spatial infinity

- Mathematics, PhysicsCommunications in Theoretical Physics
- 2020

We discuss the spatial limit of the quasi-local mass for certain ellipsoids in an asymptotically flat static spherically symmetric spacetime. These ellipsoids are not nearly round but they are of…

### 2 2 7 Fe b 20 02 Action and Energy of the Gravitational Field

- Physics
- 2009

We present a detailed examination of the variational principle for metric general relativity as applied to a “quasilocal” spacetime region M (that is, a region that is both spatially and temporally…

### A pr 2 00 2 Action and Energy of the Gravitational Field

- Physics
- 2008

We present a detailed examination of the variational principle for metric general relativity as applied to a “quasilocal” spacetime region M (that is, a region that is both spatially and temporally…

### QUASILOCAL CENTER-OF-MASS FOR TELEPARALLEL GRAVITY

- Physics
- 2006

Asymptotically flat gravitating systems have 10 conserved quantities, which lack proper local densities. It has been hoped that the teleparallel equivalent of Einstein’s GR (TEGR, aka GR||) could…

### On the Limiting Behaviors and Positivity of Quasi-local Mass

- Mathematics, Physics
- 2011

The concept of quasi-local masses was proposed by physicists about forty years ago to measure the energy of a given compact region by a closed spacelike 2-surface. There are several natural…

### Quasilocal formalism and thermodynamics of asymptotically flat black objects

- Physics
- 2009

We study the properties of five-dimensional black objects by using the renormalized boundary stress tensor for locally asymptotically flat spacetimes. This provides a more refined form of the…

### Large-sphere and small-sphere limits of the Brown-York mass

- Mathematics, Physics
- 2007

In this paper, we will study the limiting behavior of the Brown-York mass of the coordinate spheres in an asymptotically flat manifold. Limiting behaviors of volumes of regions related to coordinate…

### Nonlinear Perturbations and Conservation Laws on Curved Backgrounds in GR and Other Metric Theories

- Physics
- 2007

The field-theoretical approach is reviewed. Perturbations in general relativity as well as in an arbitrary $D$-dimensional metric theory are studied on a background, which is a solution (arbitrary)…

### On the behavior of quasi-local mass at the infinity along nearly round surfaces

- Mathematics, Physics
- 2008

In this article, we study the limiting behavior of the Brown–York mass and Hawking mass along nearly round surfaces at infinity of an asymptotically flat manifold. Nearly round surfaces can be…

### The Teleparallel Equivalent of General Relativity and the Gravitational Centre of Mass

- Physics
- 2016

We present a brief review of the teleparallel equivalent of general relativity and analyse the expression for the centre of mass density of the gravitational field. This expression has not been…

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