Preserving Kerr symmetries in deformed spacetimes

TL;DR

This paper introduces a new method for creating deformed Kerr spacetimes that preserve their symmetries, enabling easier testing and development of alternative black hole models.

Contribution

It develops a novel approach based on Yano tensors to construct symmetric Kerr deviations, building on earlier work on geodesic separability.

Findings

Method successfully applied to known black-hole spacetimes

Allows quick testing of Kerr deformations

Preserves key spacetime symmetries

Abstract

We present a novel approach in constructing deviations of the Kerr spacetime whereas the symmetries can be preserved. The method was applied trivially in all known classical black-hole spacetimes tested, while provides the possibility of testing and inventing deformations of Kerr in a quick and innovative way. The methodology is based on earlier work by Benenti and Francaviglia (1979) on separability of geodesic equations while we exploited the elegant properties of Yano tensor in order to provide an additional way of getting the Carter constant.