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A Note on the Near Horizon Charges for the Five Dimensional Myers-Perry Black Holes

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Mirzaiyan,  Zahra
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2103.09759.pdf
(Preprint), 124KB

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Citation

Mirzaiyan, Z. (in preparation). A Note on the Near Horizon Charges for the Five Dimensional Myers-Perry Black Holes.


Cite as: https://hdl.handle.net/21.11116/0000-0008-3436-1
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.