Homogeneous Killing spinor space-times

TL;DR

This paper classifies Petrov type D Killing spinor space-times with homogeneous conformal structures, constructing canonical metrics and discussing their physical interpretations.

Contribution

It provides a new classification of these space-times and explicit canonical forms, enhancing understanding of their geometric and physical properties.

Findings

Classification of Petrov type D Killing spinor space-times with homogeneous conformal structures

Construction of canonical line-elements for each class

Discussion of physical interpretations of conformal members

Abstract

A classification of Petrov type D Killing spinor space-times admitting a homogeneous conformal representant is presented. For each class a canonical line-element is constructed and a physical interpretation of its conformal members is discussed.