On h-almost conformal η-Ricci-Bourguignon solitons in a perfect fluid spacetime

被引:0
|
作者
Pahan, Sampa [1 ]
机构
[1] Mrinalini Datta Mahavidyapith, Dept Math, Kolkata 700051, India
关键词
Ricci-Bourguignon soliton; torse-forming vector field; perfect fluid spacetime; almost pseudo-symmetric manifold;
D O I
10.12697/ACUTM.2024.28.06
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
. The primary object of the paper is to study h-almost conformal ri-Ricci-Bourguignon soliton in an almost pseudo-symmetric Lorentzian K & aacute;hler spacetime manifold when some different curvature tensors vanish identically. We have also explored the conditions under which an h-almost conformal Ricci-Bourguignon soliton is steady, shrinking or expanding in different perfect fluids such as stiff matter, dust fluid, dark fluid and radiation fluid. We have observed in a perfect fluid spacetime with h-almost conformal ri-Ricci-Bourguignon soliton to be a manifold of constant Riemannian curvature under some certain conditions. We have gone on to refine the classification of the potential function with respect to gradient h-almost conformal ri-Ricci-Bourguignon soliton in a perfect fluid spacetime with torse-forming vector field xi. Finally, we have developed an example of h-almost conformal ri-Ricci-Bourguignon soliton.
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页码:75 / 97
页数:23
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