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Paper   IPM / Physic / 14310
School of Physics
  Title:   Residual Diffeomorphisms and Symplectic Hair on Black Holes
  Author(s):  M.M. Sheikh-Jabbari
  Status:   Published
  Journal: Int. J. Mod. Phys. D
  No.:  12
  Vol.:  25
  Year:  2016
  Pages:   1644019
  Supported by:  IPM
General covariance is the cornerstone of Einstein's General Relativity and implies that any two metrics which are related by diffeomorphisms are physically equivalent. There are, however, many examples pointing to the fact that this strict statement of general covariance needs refinement. There are a very special (measure-zero) subset of diffeomorphisms, the residual diffeomrphisms, to which one can associate well-defined conserved charges. We discuss that these symmetries may be appropriately called ßymplectic symmetries". This would hence render these diffeomorphic geometries physically distinct. Existence of residual diffeomorphisms and sympelctic symmetries can be a quite general feature and not limited to the examples discussed so far in the literature. We propose that, in the context of black holes, these diffeomorphic, but distinct, geometries may be viewed as ßymplectic hair" on black holes. We comment on how this may remedy black hole microstate problem and possibly the information paradox.

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