Black hole entropy is Noether charge.

  title={Black hole entropy is Noether charge.},
  journal={Physical review. D, Particles and fields},
  volume={48 8},
  • Wald
  • Published 29 July 1993
  • Mathematics
  • Physical review. D, Particles and fields
We consider a general, classical theory of gravity in $n$ dimensions, arising from a diffeomorphism-invariant Lagrangian. In any such theory, to each vector field ${\ensuremath{\xi}}^{a}$ on spacetime one can associate a local symmetry and, hence, a Noether current ($n\ensuremath{-}1$)-form j and (for solutions to the field equations) a Noether charge ($n\ensuremath{-}2$)-form Q, both of which are locally constructed from ${\ensuremath{\xi}}^{a}$ and the fields appearing in the Lagrangian… 

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