Separation of Maxwell equations in Kerr-NUT-(A)dS spacetimes

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10390168" target="_blank" >RIV/00216208:11320/18:10390168 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.nuclphysb.2018.06.019" target="_blank" >https://doi.org/10.1016/j.nuclphysb.2018.06.019</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.nuclphysb.2018.06.019" target="_blank" >10.1016/j.nuclphysb.2018.06.019</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Separation of Maxwell equations in Kerr-NUT-(A)dS spacetimes

Popis výsledku v původním jazyce

In this paper we explicitly demonstrate separability of the Maxwell equations in a wide class of higher-dimensional metrics which include the Kerr-NUT-(A)dS solution as a special case. Namely, we prove such separability for the most general metric admitting the principal tensor (a non-degenerate closed conformal Killing-Yano 2-form). To this purpose we use a special ansatz for the electromagnetic potential, which we represent as a product of a (rank 2) polarization tensor with the gradient of a potential function, generalizing the ansatz recently proposed by Lunin. We show that for a special choice of the polarization tensor written in terms of the principal tensor, both the Lorenz gauge condition and the Maxwell equations reduce to a composition of mutually commuting operators acting on the potential function. A solution to both these equations can be written in terms of an eigenfunction of these commuting operators. When incorporating a multiplicative separation ansatz, it turns out that the eigenvalue equations reduce to a set of separated ordinary differential equations with the eigenvalues playing a role of separability constants. The remaining ambiguity in the separated equations is related to an identification of D - 2 polarizations of the electromagnetic field. We thus obtained a sufficiently rich set of solutions for the Maxwell equations in these spacetimes. (C) 2018 The Authors. Published by Elsevier B.V.

Název v anglickém jazyce

Separation of Maxwell equations in Kerr-NUT-(A)dS spacetimes

Popis výsledku anglicky

In this paper we explicitly demonstrate separability of the Maxwell equations in a wide class of higher-dimensional metrics which include the Kerr-NUT-(A)dS solution as a special case. Namely, we prove such separability for the most general metric admitting the principal tensor (a non-degenerate closed conformal Killing-Yano 2-form). To this purpose we use a special ansatz for the electromagnetic potential, which we represent as a product of a (rank 2) polarization tensor with the gradient of a potential function, generalizing the ansatz recently proposed by Lunin. We show that for a special choice of the polarization tensor written in terms of the principal tensor, both the Lorenz gauge condition and the Maxwell equations reduce to a composition of mutually commuting operators acting on the potential function. A solution to both these equations can be written in terms of an eigenfunction of these commuting operators. When incorporating a multiplicative separation ansatz, it turns out that the eigenvalue equations reduce to a set of separated ordinary differential equations with the eigenvalues playing a role of separability constants. The remaining ambiguity in the separated equations is related to an identification of D - 2 polarizations of the electromagnetic field. We thus obtained a sufficiently rich set of solutions for the Maxwell equations in these spacetimes. (C) 2018 The Authors. Published by Elsevier B.V.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/GA17-01625S" target="_blank" >GA17-01625S: Prostoročasy a pole v Einsteinově teorii gravitace a jejích zobecněních</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Nuclear Physics B

ISSN

0550-3213

e-ISSN

—

Svazek periodika

2018

Číslo periodika v rámci svazku

934

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

32

Strana od-do

7-38

Kód UT WoS článku

000445497400002

EID výsledku v databázi Scopus

2-s2.0-85049460490