Statistical Soliton on Statistical Perfect Fluid Space-Time

IF 2 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2026-08-09 Epub Date: 2026-05-13 DOI:10.1002/mma.70791

Fatemeh Asali, Mohammad Bagher Kazemi Balgeshir

引用次数: 0

Abstract

In this paper, we introduce the perfect fluid space-time, soliton, and concircular vector field of a statistical manifold. We explore both geometric and physical properties of statistical perfect fluid space-times under a framework of almost statistical solitons. We prove key results related to the divergence of almost statistical solitons vector fields. Explicit relations of differentiable functions, conditions associated with the statistical concircular vector fields, are stated. Also, the interaction of statistical solitons conditions with vector fields associated with a statistical Ricci curvature is investigated, and constraints on scalar fields and curvature tensors are obtained.

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统计完美流体时空上的统计孤子

本文介绍了统计流形的完美流体时空、孤子和共圆矢量场。我们在几乎统计孤子的框架下探讨了统计完美流体时空的几何和物理性质。我们证明了与几乎统计孤子矢量场散度有关的关键结果。给出了与统计共圆向量场相关的可微函数的显式关系。研究了统计孤子条件与统计Ricci曲率相关的矢量场的相互作用，得到了标量场和曲率张量的约束。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.