LORENTZIAN MANIFOLDS: A CHARACTERIZATION WITH SEMICONFORMAL CURVATURE TENSOR

被引：2
|
作者：
De, Uday Chand [1 ]
Dey, Chiranjib [2 ]
机构：
[1] Univ Calcutta, Dept Pure Math, 35 Ballygaunge Circular Rd, Kolkata 700019, W Bengal, India
[2] Dhamla Jr High Sch, PO Kedarpur, Dhaniakhali 712406, W Bengal, India
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 34卷 / 03期
关键词：
Lorentzian manifolds; conformal curvature tensor; semiconformal curvature tensor; ROBERTSON-WALKER SPACETIMES; UNIQUENESS; GEOMETRY; TIMES; WEYL;
D O I：
10.4134/CKMS.c180248
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we characterize semiconformally flat spacetimes and a spacetime with harmonic semiconformal curvature tensor. At first in a semiconformally flat perfect fluid spacetime we obtain a state equation and prove that in particular for dimension n = 4, the spacetime represents a model for incoherent radiation. Next we prove that perfect fluid spacetime with harmonic semiconformal curvature tensor is of Petrov type I, D or O and the spacetime is a GRW spacetime. As a consequence we obtain several corollaries.
引用
收藏
页码：911 / 920
页数：10
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