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Supersymmetry of the Robinson-Trautman solution

Authors :
Masato Nozawa
Source :
Journal of High Energy Physics, Vol 2024, Iss 10, Pp 1-30 (2024)
Publication Year :
2024
Publisher :
SpringerOpen, 2024.

Abstract

Abstract The Robinson-Trautman solution in the Einstein-Maxwell-Λ system admits a shear-free and twist-free null geodesic congruence with a nonvanishing expansion. Restricting to the case where the Maxwell field is aligned, i.e., the spacetime is algebraically special, we provide an exhaustive classification of supersymmetric Robinson-Trautman spacetimes in the four-dimensional N $$ \mathcal{N} $$ = 2 gauged supergravity. The differential constraints that arise from the integrability conditions of the Killing spinor equation enable us to systematically reconstruct the metric. We derive the explicit form of the Killing spinor either by directly integrating the Killing spinor equation or by casting the solution into the canonical form of supersymmetric solutions given in [13]. In any case, the supersymmetric Robinson-Trautman solution generically exhibits a naked singularity.

Details

Language :
English
ISSN :
10298479
Volume :
2024
Issue :
10
Database :
Directory of Open Access Journals
Journal :
Journal of High Energy Physics
Publication Type :
Academic Journal
Accession number :
edsdoj.349e0f11ef7a4c689f32222c6ce89d40
Document Type :
article
Full Text :
https://doi.org/10.1007/JHEP10(2024)201