Limit spacetimes and initial data of n-dimensional Kerr-de Sitter


Presenting author: Carlos Peón Nieto


It is known that with generality, even (arbitrary) dimensional spacetimes with positive cosmological constant verify an initial value problem at null infinity (Scri). We study the generalization of Kerr-de Sitter to n-dimension, that possess several rotational parameters, and its limit spacetimes. We analyze the structure and initial data at Scri. These initial data depend on one conformal Killing vector field of Scri, more precisely, on the conformal class of this vector field. It turns out that one can rescale it, together with the metric at Scri, to obtain limits when the rotational parameters go to infinity, so that the overall expressions remain regular. This leads to a class of limit initial data corresponding to a new class of limit spacetimes that we are able to calculate. In particular, this result allows us to give a new interpretation of the Kottler spacetime with hyperbolic sections as a one particular limit of Kerr-de Sitter.

Oral presentation: yes. Poster: no.