Microcanonical functional integral for the gravitational field.

@article{Brown1993MicrocanonicalFI,
  title={Microcanonical functional integral for the gravitational field.},
  author={Brown and York},
  journal={Physical review. D, Particles and fields},
  year={1993},
  volume={47 4},
  pages={
          1420-1431
        }
}
  • Brown, York
  • Published 1993
  • Physics, Medicine
  • Physical review. D, Particles and fields
The gravitational field in a spatially finite region is described as a microcanonical system. The density of states [nu] is expressed formally as a functional integral over Lorentzian metrics and is a functional of the geometrical boundary data that are fixed in the corresponding action. These boundary data are the thermodynamical extensive variables, including the energy and angular momentum of the system. When the boundary data are chosen such that the system is described semiclassically by… Expand

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References

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Quasilocal energy and conserved charges derived from the gravitational action.
  • Brown, York
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1993
TLDR
For spherically symmetric spacetimes, it is shown that the quasilocal energy has the correct Newtonian limit, and includes a negative contribution due to gravitational binding. Expand