Algebraic and optical properties of generalized Kerr-Schild spacetimes in arbitrary dimensions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00618844" target="_blank" >RIV/67985840:_____/25:00618844 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/25:10502474

Výsledek na webu

<a href="https://doi.org/10.1103/PhysRevD.111.064061" target="_blank" >https://doi.org/10.1103/PhysRevD.111.064061</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.111.064061" target="_blank" >10.1103/PhysRevD.111.064061</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Algebraic and optical properties of generalized Kerr-Schild spacetimes in arbitrary dimensions

Popis výsledku v původním jazyce

We study the class of generalized Kerr-Schild (GKS) spacetimes in dimensions n≥3 and analyze their geometric and algebraic properties in a completely theory-independent setting. First, considering the case of a general null vector k defined by the GKS metric, we obtain the conditions under which it is geodesic. Assuming k to be geodesic for the remainder of the paper, we examine the alignment properties of the curvature tensors, namely the Ricci and Weyl tensors. We show that the algebraic types of the curvatures of the full (GKS) geometry are constrained by those of the respective background curvatures, thereby listing all kinematically allowed combinations of the algebraic types for the background and the full geometry. A notable aspect of these results is that, unlike the case of Kerr-Schild (KS) spacetimes, the Weyl types of the GKS spacetimes need not be type II or more special. Then, focusing on the case of an expanding k, we derive the conditions for it to satisfy the optical constraint, extending the previous results of KS spacetimes. We illustrate the general results using the example of (A)dS-Taub-NUT spacetimes in n=4, where we also comment on their KS double copy from a GKS perspective. Finally, as an application of our general results, we obtain the full family of GKS spacetimes with a geodesic, expanding, twist-free, and shear-free k, satisfying the vacuum Einstein equations, and identify it with a subset of the higher-dimensional vacuum Robinson-Trautman solutions. In passing, we also determine the subcase of these solutions that manifests the KS double copy.

Název v anglickém jazyce

Algebraic and optical properties of generalized Kerr-Schild spacetimes in arbitrary dimensions

Popis výsledku anglicky

We study the class of generalized Kerr-Schild (GKS) spacetimes in dimensions n≥3 and analyze their geometric and algebraic properties in a completely theory-independent setting. First, considering the case of a general null vector k defined by the GKS metric, we obtain the conditions under which it is geodesic. Assuming k to be geodesic for the remainder of the paper, we examine the alignment properties of the curvature tensors, namely the Ricci and Weyl tensors. We show that the algebraic types of the curvatures of the full (GKS) geometry are constrained by those of the respective background curvatures, thereby listing all kinematically allowed combinations of the algebraic types for the background and the full geometry. A notable aspect of these results is that, unlike the case of Kerr-Schild (KS) spacetimes, the Weyl types of the GKS spacetimes need not be type II or more special. Then, focusing on the case of an expanding k, we derive the conditions for it to satisfy the optical constraint, extending the previous results of KS spacetimes. We illustrate the general results using the example of (A)dS-Taub-NUT spacetimes in n=4, where we also comment on their KS double copy from a GKS perspective. Finally, as an application of our general results, we obtain the full family of GKS spacetimes with a geodesic, expanding, twist-free, and shear-free k, satisfying the vacuum Einstein equations, and identify it with a subset of the higher-dimensional vacuum Robinson-Trautman solutions. In passing, we also determine the subcase of these solutions that manifests the KS double copy.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

<a href="/cs/project/GA25-15544S" target="_blank" >GA25-15544S: Černé díry a dvojitá kopie v teoriích gravitace</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

2470-0029

Svazek periodika

111

Číslo periodika v rámci svazku

March

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

30

Strana od-do

064061

Kód UT WoS článku

001458941900004

EID výsledku v databázi Scopus

2-s2.0-105000768027