0602869 - MÚ 2025 RIV US eng J - Journal Article
Ortaggio, Marcello - Voldřich, J. - Barrientos, José
All nonexpanding gravitational waves in D-dimensional (anti-)de Sitter space.
Physical Review D. Roč. 110, č. 12 (2024), č. článku 124032. ISSN 2470-0010. E-ISSN 2470-0029
Institutional support: RVO:67985840
Keywords : general relativity * Kundt spacetime * Siklos waves
OECD category: Particles and field physics
Impact factor: 4.6, year: 2023 ; AIS: 1.057, rok: 2023
Method of publishing: Limited access
Result website:
https://doi.org/10.1103/PhysRevD.110.124032DOI: https://doi.org/10.1103/PhysRevD.110.124032

We present a complete, theory-independent classification of 𝐷-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 Einstein’s gravity (including minimally coupled 𝑝-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 𝑓⁡(𝑅) 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.
Permanent Link: https://hdl.handle.net/11104/0360186