Gr@v Seminar - General parametrization of axi-symmetric black holes in metric theories of gravity - 9 novembro 2016



Mass Ladder Operators from Spacetime Conformal Symmetry

Roman Konoplya

Theoretische Astrophysik Tübingen (TAT)


Abstract / Resumo

Following previous work of ours in spherical symmetry, we here propose a new parametric framework to describe the spacetime of axisymmetric black holes in generic metric theories of gravity. In this case, the metric components are functions of both the radial and the polar angular coordinates, forcing a double expansion to obtain a generic axisymmetric metric expression. In particular, we use a continued-fraction expansion in terms of a compactified radial coordinate to express the radial dependence, while we exploit a Taylor expansion in terms of the cosine of the polar angle for the polar dependence. These choices lead to a superior convergence in the radial direction and to an exact limit on the equatorial plane. As a validation of our approach, we build parametrized representations of Kerr, rotating dilaton, and Einstein-dilaton-Gauss-Bonnet black holes. The match is already very good at lowest order in the expansion and improves as new orders are added. We expect a similar behavior for any stationary and axisymmetric black-hole metric.


9 de novembro de 2016 | 15:00


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GAP Room
Physics Department Aveiro University
Campus de Santiago
3810-183 Aveiro, Portugal