Generalized Lense-Thirring spacetimes: higher curvature corrections and solutions with matter

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• David Kubiznak (Perimeter Institute)
• Friday 06 May 2022, 13:00-14:00
• Potter room.

If you have a question about this talk, please contact Prahar Mitra.

The Lense-Thirring spacetime describes a 4-dimensional slowly rotating approximate solution of vacuum Einstein equations valid to a linear order in rotation parameter. It is fully characterized by a single metric function of the corresponding static (Schwarzschild) solution. We shall discuss a generalization of the Lense-Thirring spacetimes to the case that is not necessarily fully characterized by a single (static) metric function. This generalization lets us study slowly rotating spacetimes in various higher curvature gravities as well as in the presence of non-trivial matter such as non-linear electrodynamics. In particular, we construct slowly multiply-spinning solutions in Lovelock gravity and notably show that in four dimensions Einstein gravity is the only non-trivial theory amongst all up to quartic curvature gravities that admits a Lense-Thirring solution characterized by a single metric function. We will also show discuss a `magic square’ version of our ansatz and show that it can be cast in the Painlevé—Gullstrand form (and thence is manifestly regular on the horizon) and admits a tower of exact rank-2 and higher rank Killing tensors that rapidly grows with the number of dimensions.

This talk is part of the DAMTP Friday GR Seminar series.

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