

Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
May 25, 2017 11:00, Moscow, Steklov Mathematical Institute of RAS, Room 430 (8 Gubkina)






Black Holes, Hidden Symmetries, and Complete Integrability
V. P. Frolov^{} ^{} Theoretical Physics Institute, University of Alberta, Edmonton

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Abstract:
Study of higherdimensional black holes and their properties is a
subject which has been attracting a lot of attention during past 15
years. Interest to models with additional spatial dimensions was
stimulated by the development of the string theory and braneworld
scenarios. Black holes are natural probes of extra dimensions. Study of
solutions of the higherdimensional Einstein equations describing
isolated stationary rotating black holes in asymptotically flat or (A)dS
spacetime led to a “big surprise”. The properties of such black holes,
with the spherical topology of the horizon, are quite similar to the
properties of their fourdimensional “cousin”, the Kerr metric. Namely,
the geodesic equations are completely integrable and wave equations
allow complete separation of variables. In this talk I shall explain why
it happens, and how the complete set of integrals of motion, which is
responsible for these remarkable properties, is generated by a single
geometrical object. This object, called the Principal Tensor, was
discovered in our work with my previous PhD student David Kubiznak in
2007 and now it plays the central role in study of the properties of the
higherdimensional black holes. Different applications and recent
developments are discussed.
Language: English

