Revisiting Buchdahl transformations: New static and rotating black holes in vacuum, and hairy extensions

par Adolfo Cisterna (Charles U. and Tarapacá U.)

jeudi 2 mai 2024, 14:00 → 15:00 Europe/Paris

210/1-114 - Salle des Séminaires (IJCLab)

This talk investigates Buchdahl transformations within the framework of Einstein and Einstein-Scalar theories. Specifically, it examines the relationship between Buchdahl transformations and Levi-Civita spacetimes when applied along a spacelike Killing vector of a given seed. The study extends Buchdahl's original theorem by utilizing Kerr-Schild transformations to construct new vacuum-rotating black holes in higher dimensions, specifically Levi-Civita extensions of the Myers-Perry geometry. 

In the context of the Einstein-Scalar system, the paper extends the corresponding Buchdahl theorem to scenarios where a static vacuum seed, transformed with respect to a spacelike Killing vector, generates a hairy black hole spacetime. It analyzes the primary geometrical features of these spacetimes and investigates how a change of frame, via conformal transformations, leads to a new family of black hole spacetimes within the Einstein-Scalar-Conformal system. The paper concludes by suggesting several avenues for further exploration of these novel techniques.