On generalized Robertson Walker spacetimes satisfying some curvature condition

HOTLOS, Marian; MURATHAN, Cengizhan; EZENTAS, Ridvan; DESZCZ, Ryszard; ARSLAN, Kadri

On generalized Robertson Walker spacetimes satisfying some curvature condition

Kadri ARSLAN, (Matematik Bölümü, Uludağ Üniversitesi, Bursa, Türkiye)

Ryszard DESZCZ, (Department of Mathematics, Wroc law University, of Environmental, and Life Sciences 50-357 Wroc law, Poland)

Ridvan EZENTAS, (Institute of Mathematics, and Computer Science, Wroc law University, of Technology, 50-350 Wroc law, Poland)

Marian HOTLOS, (Institute of Mathematics, and Computer Science, Wroc law University, of Technology, 50-350 Wroc law, Poland)

Cengizhan MURATHAN (Matematik Bölümü, Uludağ Üniversitesi, Bursa, Türkiye)

Turkish Journal of Mathematics

14 0

Yıl: 2014 Cilt: 38 Sayı: 2 Sayfa Aralığı: 353 - 373 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

On generalized Robertson Walker spacetimes satisfying some curvature condition

Öz:

We give necessary and sufficient conditions for warped product manifolds (M, g), of dimension ⩾ 4, with 1 -dimensional base, and in particular, for generalized Robertson–Walker spacetimes, to satisfy some generalized Einstein metric condition. Namely, the difference tensor R·C−C ·R, formed from the curvature tensor R and the Weyl conformal curvature tensor C , is expressed by the Tachibana tensor Q(S, R) formed from the Ricci tensor S and R. We also construct suitable examples of such manifolds. They are quasi-Einstein, i.e. at every point of M rank (S − α g) ⩽ 1, for some α ∈ R, or non-quasi-Einstein.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	ARSLAN K, DESZCZ R, EZENTAS R, HOTLOS M, MURATHAN C (2014). On generalized Robertson Walker spacetimes satisfying some curvature condition. , 353 - 373.
Chicago	ARSLAN Kadri,DESZCZ Ryszard,EZENTAS Ridvan,HOTLOS Marian,MURATHAN Cengizhan On generalized Robertson Walker spacetimes satisfying some curvature condition. (2014): 353 - 373.
MLA	ARSLAN Kadri,DESZCZ Ryszard,EZENTAS Ridvan,HOTLOS Marian,MURATHAN Cengizhan On generalized Robertson Walker spacetimes satisfying some curvature condition. , 2014, ss.353 - 373.
AMA	ARSLAN K,DESZCZ R,EZENTAS R,HOTLOS M,MURATHAN C On generalized Robertson Walker spacetimes satisfying some curvature condition. . 2014; 353 - 373.
Vancouver	ARSLAN K,DESZCZ R,EZENTAS R,HOTLOS M,MURATHAN C On generalized Robertson Walker spacetimes satisfying some curvature condition. . 2014; 353 - 373.
IEEE	ARSLAN K,DESZCZ R,EZENTAS R,HOTLOS M,MURATHAN C "On generalized Robertson Walker spacetimes satisfying some curvature condition." , ss.353 - 373, 2014.
ISNAD	ARSLAN, Kadri vd. "On generalized Robertson Walker spacetimes satisfying some curvature condition". (2014), 353-373.

APA	ARSLAN K, DESZCZ R, EZENTAS R, HOTLOS M, MURATHAN C (2014). On generalized Robertson Walker spacetimes satisfying some curvature condition. Turkish Journal of Mathematics, 38(2), 353 - 373.
Chicago	ARSLAN Kadri,DESZCZ Ryszard,EZENTAS Ridvan,HOTLOS Marian,MURATHAN Cengizhan On generalized Robertson Walker spacetimes satisfying some curvature condition. Turkish Journal of Mathematics 38, no.2 (2014): 353 - 373.
MLA	ARSLAN Kadri,DESZCZ Ryszard,EZENTAS Ridvan,HOTLOS Marian,MURATHAN Cengizhan On generalized Robertson Walker spacetimes satisfying some curvature condition. Turkish Journal of Mathematics, vol.38, no.2, 2014, ss.353 - 373.
AMA	ARSLAN K,DESZCZ R,EZENTAS R,HOTLOS M,MURATHAN C On generalized Robertson Walker spacetimes satisfying some curvature condition. Turkish Journal of Mathematics. 2014; 38(2): 353 - 373.
Vancouver	ARSLAN K,DESZCZ R,EZENTAS R,HOTLOS M,MURATHAN C On generalized Robertson Walker spacetimes satisfying some curvature condition. Turkish Journal of Mathematics. 2014; 38(2): 353 - 373.
IEEE	ARSLAN K,DESZCZ R,EZENTAS R,HOTLOS M,MURATHAN C "On generalized Robertson Walker spacetimes satisfying some curvature condition." Turkish Journal of Mathematics, 38, ss.353 - 373, 2014.
ISNAD	ARSLAN, Kadri vd. "On generalized Robertson Walker spacetimes satisfying some curvature condition". Turkish Journal of Mathematics 38/2 (2014), 353-373.