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

### APA

Kubiznak, D. (2022). Generalized Lense-Thirring spacetimes: higher curvature corrections and solutions with matter. Perimeter Institute. https://pirsa.org/22090078

### MLA

Kubiznak, David. Generalized Lense-Thirring spacetimes: higher curvature corrections and solutions with matter. Perimeter Institute, Sep. 08, 2022, https://pirsa.org/22090078

### BibTex

@misc{ pirsa_22090078, doi = {10.48660/22090078}, url = {https://pirsa.org/22090078}, author = {Kubiznak, David}, keywords = {Strong Gravity}, language = {en}, title = {Generalized Lense-Thirring spacetimes: higher curvature corrections and solutions with matter}, publisher = {Perimeter Institute}, year = {2022}, month = {sep}, note = {PIRSA:22090078 see, \url{https://pirsa.org}} }

David Kubiznak Perimeter Institute for Theoretical Physics

## Abstract

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 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.

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