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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
Abstract:
Inspired by the recent work on the spacetime structure near generic black
hole horizons [1], the near horizon charges for an explicit example in higher
dimensions than four (d > 4), namely for the five dimensional Myers-Perry
metric with two equal rotation parameter are found in Hamiltonian formalism.
Finding the supertranslation and the one-form superrotation, it is proved that
the Myers-Perry black hole with two equal rotation parameter a = b does not
satisfy the gauge flatness condition due to the non-vanishing associated field
strength in five dimensional spacetime. It is shown that as the near horizon
limit of such a metric satisfies a specific set of boundary conditions, the
near horizon algebra can be represented as an infinitely many copies of
Heisenberg algebras as a generalisation to the Kerr case in four dimensions.
