Quasi-local gravitational angular momentum and centre of mass from generalised Witten equations

@article{Wieland2017QuasilocalGA,
  title={Quasi-local gravitational angular momentum and centre of mass from generalised Witten equations},
  author={Wolfgang Wieland},
  journal={General Relativity and Gravitation},
  year={2017},
  volume={49},
  pages={1-30}
}
  • Wolfgang Wieland
  • Published 2017
  • Physics, Mathematics
  • General Relativity and Gravitation
  • Witten’s proof for the positivity of the ADM mass gives a definition of energy in terms of three-surface spinors. In this paper, we give a generalisation for the remaining six Poincaré charges at spacelike infinity, which are the angular momentum and centre of mass. The construction improves on certain three-surface spinor equations introduced by Shaw. We solve these equations asymptotically obtaining the ten Poincaré charges as integrals over the Nester–Witten two-form. We point out that the… CONTINUE READING

    Figures from this paper.

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 49 REFERENCES
    On certain quasi-local spin-angular momentum expressions for small spheres
    10
    Relativistic angular momentum for asymptotically flat Einstein-Maxwell manifolds
    29
    Witten identities for rotations, spinor boundary-value problems and new gauge conditions for asymptotic symmetries
    1
    Role of Surface Integrals in the Hamiltonian Formulation of General Relativity
    757
    Local subsystems in gauge theory and gravity
    163
    On the roots of the Poincaré structure of asymptotically flat spacetimes
    38
    THE COVARIANT PHASE SPACE OF ASYMPTOTICALLY FLAT GRAVITATIONAL FIELDS
    144