A Note on Thermodynamic Fluid Space-Time

IF 2.1 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Gravitation and Cosmology Pub Date : 2026-08-24 DOI:10.1134/S0202289326700209

Sampa Pahan, Souvik Dutta

引用次数: 0

Abstract

We perform a comprehensive analysis of thermodynamic fluid space-time. First we describe a 4D relativistic thermodynamic fluid space-time. Next we explore a new class of semi-Riemannian manifolds which are Ricci-symmetric and derive Codazzi type Ricci tensor on sequential warped product thermodynamic fluid space-time. Furthermore, we show that the warping functions for a sequential warped product thermodynamic fluid space-time are constants under specific conditions. In the latter part, specific curvature aspects in relativistic thermodynamic fluid space-time are studied. We conclude with an elucidation of 4D relativistic thermodynamic fluid space-time through an example.

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热力学流体时空注记

我们对热力学流体时空进行了全面的分析。首先，我们描述了一个四维相对论热力学流体时空。接下来，我们探索了一类新的里奇对称半黎曼流形，并在序变积热力学流体时空上导出了Codazzi型里奇张量。进一步证明了在特定条件下，序贯翘曲积热力学流体时空的翘曲函数是常数。后一部分研究了相对论热力学流体时空中的特定曲率方面。最后通过一个算例对四维相对论热力学流体时空进行了说明。

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

Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-

CiteScore

1.70

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoplesâ€™ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community