Perfect Fluid Spacetimes and Gradient Solitons

被引：20

作者：

De, Uday Chand ^{[1
]}

Mantica, Carlo Alberto ^{[2
,3
]}

Suh, Young Jin ^{[4
,5
]}

机构：

[1] Univ Calcutta, Dept Pure Math, 35 Ballygaunge Circular Rd, Kolkata 700019, W Bengal, India

[2] Univ Milan, Phys Dept Aldo Pontremoli, Via Celoria 16, I-20133 Milan, Italy

[3] Ist Nazl Fis Nucl, Sez Milano, Via Celoria 16, I-20133 Milan, Italy

[4] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea

[5] Kyungpook Natl Univ, RIRCM, Daegu 41566, South Korea

来源：

FILOMAT | 2022年 / 36卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

  Lorentzian manifolds; perfect fluid spacetime; GRW space-times; Ricci soliton; gradient Ricci soliton; A-Einstein soliton; gradient Schouten soliton; Killing vector field; RICCI SOLITONS; VECTOR-FIELDS; CURVATURE; MANIFOLDS;

D O I：

10.2298/FIL2203829D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main object of this paper is to characterize the perfect fluid spacetimes if its metrics are Ricci solitons, gradient Ricci solitons, gradient A-Einstein solitons and gradient Schouten solitons.

引用

页码：829 / 842

页数：14

共 41 条

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Alias L., 1995, Geometry and Topology of Submanifolds VII, P67

[2] UNIQUENESS OF COMPLETE SPACELIKE HYPERSURFACES OF CONSTANT MEAN-CURVATURE IN GENERALIZED ROBERTSON-WALKER SPACETIMES [J].