SOLITONS AND GEOMETRICAL STRUCTURES IN A PERFECT FLUID SPACETIME

被引：83

作者：

Blaga, Adara M. ^{[1
]}

机构：

[1] West Univ Timisoara, Timisoara, Romania

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2020年 / 50卷 / 01期

关键词：

Ricci soliton; Einstein soliton; perfect fluid; Lorentz space;

D O I：

10.1216/rmj.2020.50.41

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Geometrical aspects of a perfect fluid spacetime are described in terms of different curvature tensors and eta-Ricci and eta-Einstein solitons in a perfect fluid spacetime are determined. Conditions for the Ricci soliton to be steady, expanding or shrinking are also given. In a particular case when the potential vector field xi of the soliton is of gradient type, xi := grad( f), we derive a Poisson equation from the soliton equation.

引用

页码：41 / 53

页数：13

共 50 条

[31] Inhomogeneous perfect fluid universe with electromagnetic field
Anirudh Pradhan
Vineet K. Yadav
Lallan Yadav
A. K. Yadav
Astrophysics and Space Science, 2007, 312 : 267 - 273
[32] Inhomogeneous perfect fluid universe with electromagnetic field
Pradhan, Anirudh
Yadav, Vineet K.
Yadav, Lallan
Yadav, A. K.
ASTROPHYSICS AND SPACE SCIENCE, 2007, 312 (3-4) : 267 - 273
[33] A charged perfect fluid model with high compactness
Estevez-Delgado, G.
Estevez-Delgado, J.
Pineda Duran, M.
Montelongo Garcia, N.
Paulin-Fuentes, J. M.
REVISTA MEXICANA DE FISICA, 2019, 65 (04) : 382 - 391
[34] Euler observers for the perfect fluid without vorticity
Garat, Alcides
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (04):
[35] On a Motion of a Perfect Fluid in a Domain with Sources and Sinks
Chemetov, N. V.
Starovoitov, V. N.
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2002, 4 (02) : 128 - 144
[36] Anisotropic Cosmological Models with a Perfect Fluid and a Λ Term
Bijan Saha
Astrophysics and Space Science, 2006, 302 : 83 - 91
[37] QUANTUM RAINBOW COSMOLOGICAL MODEL WITH PERFECT FLUID
Majumder, Barun
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2013, 22 (13):
[38] Geometry of semi-Riemannian group manifold and its applications in spacetime admitting Ricci solitons
Arfah, Arfah
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021, 18 (14)
[39] Magnetized Stiff Fluid Tilted Universe for Perfect Fluid Distribution in General Relativity
Raj Bali
B.L. Meena
Astrophysics and Space Science, 1998, 262 : 89 - 96
[40] Magnetized stiff fluid tilted universe for perfect fluid distribution in general relativity
Bali, R
Meena, BL
ASTROPHYSICS AND SPACE SCIENCE, 1998, 262 (01) : 89 - 96

← 1 2 3 4 5 →