Generalized parallel transport and coordinate transformations in f(R) gravity
[ X ]
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Korean Physical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we study the generalized parallel transport of vectors and generalized coordinate transformations between generalized reference frames described in f(R) gravity. After constructing the generalized parallel transport relations and the generalized transformation laws in f(R) gravity, we discuss the implications of these laws and present the differences between f(R) gravity and Einstein's general relativity. For a constant Ricci scalar case with de Sitter-like behavior for a de Sitter space-time, we find that the parallel transport is invariant under the conformal transformation from general relativity to f(R) gravity. However, for a non-de Sitter space-time, parallel transport differs by an extra field term.
Açıklama
Anahtar Kelimeler
Coordinate transformations, General relativity, f(R) gravity
Kaynak
Journal of the Korean Physical Society
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
69
Sayı
12
