# Black hole entropy is Noether charge.

@article{Wald1993BlackHE, title={Black hole entropy is Noether charge.}, author={Wald}, journal={Physical review. D, Particles and fields}, year={1993}, volume={48 8}, pages={ R3427-R3431 } }

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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