广义相对论时空中的共形 η-Ricci-Bourguignon 孤子

IF 2.1 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL International Journal of Geometric Methods in Modern Physics Pub Date : 2024-02-23 DOI:10.1142/s0219887824501482
Santu Dey, Shyamal Kumar Hui, Soumendu Roy, Ali H. Alkhaldi
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引用次数: 0

摘要

在这篇研究论文中,我们确定了在具有矩形势向量场的一般相对论时空中的共形η-里奇-布尔古尼孤子的性质。此外,我们还评估了在共形η-里奇-布尔吉尼孤子的半对称能动张量时空中孤子的具体情况,其势矢场是环形的。接下来,我们探讨了共形 η-Ricci-Bourguignon 孤子所在时空的一些曲率特征。此外,我们还从共形η-里奇-布尔基尼孤子的角度提出了广义相对论时空中尘埃流体、暗流体和辐射时代的一些物理概念。最后,我们研究了1-形式η成为薛定谔-里奇方程的解的必要条件和充分条件,η是广义相对论时空中矢量场ξ的g二元。
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Conformal η-Ricci–Bourguignon soliton in general relativistic spacetime

In this research paper, we determine the nature of conformal η-Ricci–Bourguignon soliton on a general relativistic spacetime with torse forming potential vector field. Besides this, we evaluate a specific situation of the soliton when the spacetime admitting semi-symmetric energy–momentum tensor with respect to conformal η-Ricci–Bourguignon soliton, whose potential vector field is torse-forming. Next, we explore some characteristics of curvature on a spacetime that admits conformal η-Ricci–Bourguignon soliton. In addition, we turn up some physical perception of dust fluid, dark fluid and radiation era in a general relativistic spacetime in terms of conformal η-Ricci–Bourguignon soliton. Finally, we examine necessary and sufficient conditions for a 1-form η, which is the g-dual of the vector field ξ on general relativistic spacetime to be a solution of the Schrödinger–Ricci equation.

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来源期刊
CiteScore
3.40
自引率
22.20%
发文量
274
审稿时长
6 months
期刊介绍: This journal publishes short communications, research and review articles devoted to all applications of geometric methods (including commutative and non-commutative Differential Geometry, Riemannian Geometry, Finsler Geometry, Complex Geometry, Lie Groups and Lie Algebras, Bundle Theory, Homology an Cohomology, Algebraic Geometry, Global Analysis, Category Theory, Operator Algebra and Topology) in all fields of Mathematical and Theoretical Physics, including in particular: Classical Mechanics (Lagrangian, Hamiltonian, Poisson formulations); Quantum Mechanics (also semi-classical approximations); Hamiltonian Systems of ODE''s and PDE''s and Integrability; Variational Structures of Physics and Conservation Laws; Thermodynamics of Systems and Continua (also Quantum Thermodynamics and Statistical Physics); General Relativity and other Geometric Theories of Gravitation; geometric models for Particle Physics; Supergravity and Supersymmetric Field Theories; Classical and Quantum Field Theory (also quantization over curved backgrounds); Gauge Theories; Topological Field Theories; Strings, Branes and Extended Objects Theory; Holography; Quantum Gravity, Loop Quantum Gravity and Quantum Cosmology; applications of Quantum Groups; Quantum Computation; Control Theory; Geometry of Chaos.
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