Intrinsic angular momentum and centre of mass in general relativity

@article{Moreschi2002IntrinsicAM,
  title={Intrinsic angular momentum and centre of mass in general relativity},
  author={Osvaldo M. Moreschi},
  journal={Classical and Quantum Gravity},
  year={2002},
  volume={21},
  pages={5409-5425}
}
  • O. Moreschi
  • Published 25 September 2002
  • Physics
  • Classical and Quantum Gravity
There are several definitions in the literature of the notion of total angular momentum in general relativity. However, none of them can be said to capture the physical notion of intrinsic angular momentum of the sources in the presence of gravitational radiation. We present a definition of angular momentum for radiative spacetimes which does not suffer from any ambiguity of supertranslations. We have succeeded in providing an appropriate notion of intrinsic angular momentum and, at the same… 
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References

SHOWING 1-10 OF 29 REFERENCES
Quasi-local mass and angular momentum in general relativity
  • R. Penrose
  • Physics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1982
A new approach to defining energy-momentum and angular momentum in general relativity is presented which avoids some of the difficulties of previous definitions and which can be applied
Angular momentum in general relativity I. Definition and asymptotic behaviour
  • C. Prior
  • Physics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1977
Angular momentum in axisymmetric space-times is investigated. The conclusions lead to a general definition suitable for all asymptoticallyflat spaces which is valid both at infinity and on the event
Unambiguous angular momentum of radiative spacetimes and asymptotic structure in terms of the center of mass system
We present a definition of angular momentum for radiative spacetimes which does not suffer from any ambiguity of supertranslations. We succeed in providing an appropriate notion of {\it intrinsic}
Linkages in general relativity
For an asymptotically flat space–time in general relativity there exist certain integrals, called linkages, over cross sections of null infinity, which represent the energy, momentum, or angular
Angular momentum at null infinity
The definition of angular momentum recently given by Penrose (1982) is analysed on I. It is shown that this definition is essentially a supertranslation of previous definitions. The origin dependence
Symplectic geometry of radiative modes and conserved quantities at null infinity
  • A. AshtekarM. Streubel
  • Physics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1981
The Hamiltonian description of massless spin zero- and one-fields in Minkowski space is first recast in a way that refers only to null infinity and fields thereon representing radiative modes. With
On global conservation laws at null infinity
In this paper the standard values for total energy, linear momentum and also angular momentum of asymptotically flat Bondi metrics at null infinity are obtained from differential conservation laws on
Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article
The present status of the quasi-local mass-energy-momentum and angular momentum constructions in general relativity is reviewed. First the general ideas, concepts, and strategies, as well as the
SOME TOTAL INVARIANTS OF ASYMPTOTICALLY FLAT SPACE-TIMES,
The total energy, momentum, supermomentum, and angular momentum of asymptotically flat space‐times are calculated in terms of coordinate and conformally invariant expressions by taking the limit in
General definition of “conserved quantities” in general relativity and other theories of gravity
In general relativity, the notion of mass and other conserved quantities at spatial infinity can be defined in a natural way via the Hamiltonian framework: Each conserved quantity is associated with
...
...