Classification of Robinson-Trautman and Kundt geometries with Large D limit
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Dosyalar
Tarih
2022
Yazarlar
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