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All nonexpanding gravitational waves in D-dimensional (anti-)de Sitter space
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SYSNO ASEP 0602869 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J ÄlĆ”nek ve WOS Title All nonexpanding gravitational waves in D-dimensional (anti-)de Sitter space Author(s) Ortaggio, Marcello (MU-W) RID, SAI, ORCID
VoldÅich, J. (CZ)
Barrientos, JosƩ (MU-W) SAI, ORCID, RIDArticle number 124032 Source Title Physical Review D. - : American Physical Society - ISSN 2470-0010
RoÄ. 110, Ä. 12 (2024)Number of pages 17 s. Publication form Print - P Language eng - English Country US - United States Keywords general relativity ; Kundt spacetime ; Siklos waves Subject RIV BA - General Mathematics OECD category Particles and field physics Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 001378683600009 EID SCOPUS 85212558335 DOI https://doi.org/10.1103/PhysRevD.110.124032 Annotation We present a complete, theory-independent classification of š·-dimensional Kundt spacetimes of Weyl and traceless-Ricci type N. We show that these geometries consist of three invariantly defined subfamilies, namely (generalized) Kundt, pp-, and Siklos waves, for each of which we obtain a convenient canonical form. As a byproduct, this also demonstrates that such metrics coincide with the class of nonexpanding (A)dS-Kerr-Schild spacetimes. The role of these spacetimes in Einsteinās gravity (including minimally coupled š-forms and nonlinear electrodynamics) as nonexpanding gravitational waves in an (anti)-de Sitter background is discussed. Furthermore, applications to extended theories such as Gauss-Bonnet, Lovelock, quadratic, and šā”(š ) gravity are also briefly illustrated, as well as the overlap of the obtained metrics with universal and almost-universal spacetimes. In the appendixes we additionally settle the issue of the redundancy of certain field equations for all Kundt spacetimes in a theory-independent way and present various alternative coordinates for the spacetimes studied in the paper. Workplace Mathematical Institute Contact Jarmila Å truncovĆ”, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2025 Electronic address https://doi.org/10.1103/PhysRevD.110.124032
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