Quasi-Poisson actions and massive non-rotating BTZ black holes

Regular Poisson structures on massive non-rotating BTZ black holes

We revisit the non-rotating massive BTZ black hole within a pseudo-Riemannian symmetric space context. Using classical symmetric space techniques we find that every such space intrinsically carries a regular Poisson structure whose symplectic leaves are para-hermitian symmetric surfaces. We also obtain a global expression of the metric yielding a dynamical description of the black hole from its initial to its final singularity.

与Alice一起钓鱼：相容的Carrollian与Poisson结构

Go Fishing with Alice: Compatible Carrollian and Poisson Structures

本文受非交换Carrollian几何启发，提出Carrollian-Poisson丛概念，要求Carroll分布含于Poisson锚像中，给出Kerr视界等例，并证明可配备相容Vaisman联络以定义几何运动学。