Classification of Robinson-Trautman and Kundt geometries with Large D limit

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Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Algebraic classification of higher dimensional, shear-free, twist-free, expanding (or non-expanding) spacetime is studied with the limit of D -> infinity. Similar to classification of any arbitrary dimension D > 4, this spacetime is Type I(b) or more special, according to our calculations. However, thanks to the method of taking the limit of dimension D -> infinity, the relevant Weyl scalars become much simpler. Without solving field equations, by determining obligatory conditions to the components of Weyl scalar vanish, the spacetime is classified Type I(a), Type II(a-b-c-d), Type III(a-b), Type N and Type O for primary Weyl aligned null direciton (WAND), and Type I-i, Type IIi, Type IIIi, and Type D(a-b-c-d) for secondary WAND.

Açıklama

Anahtar Kelimeler

Classical Theories Of Gravity, Large Extra Dimensions, Spaces

Kaynak

Journal of High Energy Physics

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

Sayı

8

Künye