Investigation on hyperbolic Ricci soliton 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
Hyperbolic Ricci soliton; torse-forming vector field; perfect fluid spacetime; relativistic magneto-fluid spacetime; VECTOR-FIELDS;
D O I
10.1142/S1793557124500918
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this paper is to inspect the geometrical aspects of a perfect fluid spacetime conveying hyperbolic Ricci soliton with torse-forming vector field xi. Next, we have investigated some physical perceptions of perfect fluid spacetime such as dark fluid spacetime, stiff matter fluid spacetime, dust fluid spacetime and radiation fluid spacetime with hyperbolic Ricci soliton in terms of isotropic pressure, the cosmological constant, energy density and gravitational constant. We have also provided two examples of hyperbolic Ricci soliton and hyperbolic Ricci-Bourguignon soliton. Later, we explore the relativistic magneto-fluid spacetime obeying hyperbolic Ricci soliton along with different vector fields.
引用
收藏
页数:19
相关论文
共 50 条
  • [1] Hyperbolic Ricci soliton and gradient hyperbolic Ricci soliton on relativistic prefect fluid spacetime
    Siddiqi, Mohd. Danish
    Mofarreh, Fatemah
    [J]. AIMS MATHEMATICS, 2024, 9 (08): : 21628 - 21640
  • [2] RICCI ρ-SOLITON IN A PERFECT FLUID SPACETIME WITH A GRADIENT VECTOR FIELD
    Dey, Dibakar
    Majhi, Pradip
    [J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 38 (01): : 235 - 242
  • [3] On Ricci–Yamabe soliton and geometrical structure in a perfect fluid spacetime
    Jay Prakash Singh
    Mohan Khatri
    [J]. Afrika Matematika, 2021, 32 : 1645 - 1656
  • [4] Conformal Ricci soliton and geometrical structure in a perfect fluid spacetime
    Siddiqi, Mohd Danish
    Siddiqui, Shah Alam
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (06)
  • [5] On Ricci-Yamabe soliton and geometrical structure in a perfect fluid spacetime
    Singh, Jay Prakash
    Khatri, Mohan
    [J]. AFRIKA MATEMATIKA, 2021, 32 (7-8) : 1645 - 1656
  • [6] Geometrical Structure in a Perfect Fluid Spacetime with Conformal Ricci-Yamabe Soliton
    Zhang, Pengfei
    Li, Yanlin
    Roy, Soumendu
    Dey, Santu
    Bhattacharyya, Arindam
    [J]. SYMMETRY-BASEL, 2022, 14 (03):
  • [7] Ricci soliton and geometrical structure in a perfect fluid spacetime with torse-forming vector field
    Venkatesha
    Kumara, H. Aruna
    [J]. AFRIKA MATEMATIKA, 2019, 30 (5-6) : 725 - 736
  • [8] Ricci soliton and geometrical structure in a perfect fluid spacetime with torse-forming vector field
    H. Aruna Venkatesha
    [J]. Afrika Matematika, 2019, 30 : 725 - 736
  • [9] Almost Ricci solitons on weakly Ricci symmetric perfect fluid spacetime
    Yadav, Akhilesh
    Saxena, Tarun
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024,
  • [10] Hyperbolic Ricci solitons on perfect fluid spacetimes
    Azami, Shahroud
    Jafari, Mehdi
    Jamal, Nargis
    Haseeb, Abdul
    [J]. AIMS MATHEMATICS, 2024, 9 (07): : 18929 - 18943