On generalized quasi Einstein standard static spacetimes

Sinem Güler; Sezgin Altay Demirbağ

doi:10.1016/j.geomphys.2021.104366

On generalized quasi Einstein standard static spacetimes

Sinem Güler^*
, Sezgin Altay Demirbağ

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Istanbul Sabahattin Zaim University

Araştırma çıktısı: Dergi yayını › Makale › Hakem

6 Atıf (Scopus)

Özet

In the present paper, first, we characterize the standard static spacetimes satisfying certain Ricci-Hessian class type equations, such as generalized quasi Einstein manifolds, m-quasi Einstein manifolds, (m,ρ)-quasi Einstein manifolds, and gradient Ricci solitons. Then, we obtain some necessary and sufficient conditions about the existence of certain vector fields on the standard static spacetime. We also characterize the m-quasi Einstein standard static spacetimes admitting concurrent or parallel vector fields and get several physical properties of such spacetimes. At last, we construct non-trivial examples of m-quasi Einstein spacetimes verifying our results.

Orijinal dil	İngilizce
Makale numarası	104366
Dergi	Journal of Geometry and Physics
Hacim	170
DOI'lar	https://doi.org/10.1016/j.geomphys.2021.104366
Yayın durumu	Yayınlandı - Ara 2021

Bibliyografik not

Publisher Copyright:
© 2021 Elsevier B.V.

Finansman

This work is supported by the Research Fund of the Istanbul Technical University (GAP project reference TGA-2018-41211 ). The authors would like to thank the referee for reviewing the paper carefully and her or his valuable comments which provided insights to improve the quality of the results.

Finansörler	Finansör numarası
Istanbul Teknik Üniversitesi	TGA-2018-41211

Belgeye Erişim

10.1016/j.geomphys.2021.104366

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On generalized quasi Einstein standard static spacetimes",

abstract = "In the present paper, first, we characterize the standard static spacetimes satisfying certain Ricci-Hessian class type equations, such as generalized quasi Einstein manifolds, m-quasi Einstein manifolds, (m,ρ)-quasi Einstein manifolds, and gradient Ricci solitons. Then, we obtain some necessary and sufficient conditions about the existence of certain vector fields on the standard static spacetime. We also characterize the m-quasi Einstein standard static spacetimes admitting concurrent or parallel vector fields and get several physical properties of such spacetimes. At last, we construct non-trivial examples of m-quasi Einstein spacetimes verifying our results.",

keywords = "Bakry-Emery Ricci tensor, Gradient Ricci soliton, Standard static spacetime, m-generalized quasi Einstein manifold, m-quasi Einstein manifold",

author = "Sinem G{\"u}ler and \{Altay Demirbağ\}, Sezgin",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",

year = "2021",

month = dec,

doi = "10.1016/j.geomphys.2021.104366",

language = "English",

volume = "170",

journal = "Journal of Geometry and Physics",

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TY - JOUR

T1 - On generalized quasi Einstein standard static spacetimes

AU - Güler, Sinem

AU - Altay Demirbağ, Sezgin

PY - 2021/12

Y1 - 2021/12

N2 - In the present paper, first, we characterize the standard static spacetimes satisfying certain Ricci-Hessian class type equations, such as generalized quasi Einstein manifolds, m-quasi Einstein manifolds, (m,ρ)-quasi Einstein manifolds, and gradient Ricci solitons. Then, we obtain some necessary and sufficient conditions about the existence of certain vector fields on the standard static spacetime. We also characterize the m-quasi Einstein standard static spacetimes admitting concurrent or parallel vector fields and get several physical properties of such spacetimes. At last, we construct non-trivial examples of m-quasi Einstein spacetimes verifying our results.

AB - In the present paper, first, we characterize the standard static spacetimes satisfying certain Ricci-Hessian class type equations, such as generalized quasi Einstein manifolds, m-quasi Einstein manifolds, (m,ρ)-quasi Einstein manifolds, and gradient Ricci solitons. Then, we obtain some necessary and sufficient conditions about the existence of certain vector fields on the standard static spacetime. We also characterize the m-quasi Einstein standard static spacetimes admitting concurrent or parallel vector fields and get several physical properties of such spacetimes. At last, we construct non-trivial examples of m-quasi Einstein spacetimes verifying our results.

KW - Bakry-Emery Ricci tensor

KW - Gradient Ricci soliton

KW - Standard static spacetime

KW - m-generalized quasi Einstein manifold

KW - m-quasi Einstein manifold

UR - https://www.scopus.com/pages/publications/85114664940

U2 - 10.1016/j.geomphys.2021.104366

DO - 10.1016/j.geomphys.2021.104366

M3 - Article

AN - SCOPUS:85114664940

SN - 0393-0440

VL - 170

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 104366

ER -

On generalized quasi Einstein standard static spacetimes

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap