New boundary variables for classical and quantum gravity on a null surface

@article{Wieland2017NewBV,
  title={New boundary variables for classical and quantum gravity on a null surface},
  author={Wolfgang Wieland},
  journal={Classical and Quantum Gravity},
  year={2017},
  volume={34},
  pages={215008}
}
  • Wolfgang Wieland
  • Published 2017
  • Physics
  • Classical and Quantum Gravity
  • The covariant Hamiltonian formulation for general relativity is studied in terms of self-dual variables on a manifold with an internal and lightlike boundary. At this inner boundary, new canonical variables appear: a spinor and a spinor-valued two-form that encode the entire intrinsic geometry of the null surface. At a two-dimensional cross-section of the boundary, quasi-local expressions for the generators of two-dimensional diffeomorphisms, time translations, and dilatations of the null… CONTINUE READING

    Figures from this paper.

    Generating functional for gravitational null initial data
    8
    A gauge-invariant symplectic potential for tetrad general relativity
    15
    Boundary effects in General Relativity with tetrad variables
    11
    Quantum gravity in three dimensions, Witten spinors and the quantisation of length
    9
    Conformal boundary conditions, loop gravity and the continuum
    14
    Deformed Heisenberg charges in three-dimensional gravity
    1

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 45 REFERENCES
    Local subsystems in gauge theory and gravity
    164
    Discrete gravity as a topological field theory with light-like curvature defects
    11
    Quantum gravity at the corner
    31
    Asymptotics and Hamiltonians in a First order formalism
    63
    Continuous formulation of the loop quantum gravity phase space
    56
    New variables for classical and quantum gravity.
    993
    Role of Surface Integrals in the Hamiltonian Formulation of General Relativity
    800