# 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
}
}
• 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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