伪Z对称时空允许一类半对称非度量连接

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2025-02-01 DOI:10.1016/S0034-4877(25)00009-6

Hülya Bağdatli Yilmaz, Uday Chand De

{"title":"伪Z对称时空允许一类半对称非度量连接","authors":"Hülya Bağdatli Yilmaz, Uday Chand De","doi":"10.1016/S0034-4877(25)00009-6","DOIUrl":null,"url":null,"abstract":"<div><div>This paper aims at investigating pseudo Z symmetric space-times (PZS)<sub>4</sub> admitting a type of semi-symmetric nonmetric connection (ssnmc). At first, we scrutinize the impact of a ssnmc on Lorentzian manifolds and establish a nontrivial example. Then, we examine the general properties of (PZS)<sub>4</sub> space-times and express the physical consequences of this space-time. Among others, it is demonstrated that a (PZS)<sub>4</sub> space-time admitting a ssnmc whose Ricci tensor vanishes becomes a GRW space-time as well as a perfect fluid space-time and a purely electric space-time under a certain condition.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"95 1","pages":"Pages 39-52"},"PeriodicalIF":1.0000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Pseudo Z Symmetric Space-Times Admitting a Type of Semi-Symmetric Nonmetric Connection\",\"authors\":\"Hülya Bağdatli Yilmaz, Uday Chand De\",\"doi\":\"10.1016/S0034-4877(25)00009-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper aims at investigating pseudo Z symmetric space-times (PZS)<sub>4</sub> admitting a type of semi-symmetric nonmetric connection (ssnmc). At first, we scrutinize the impact of a ssnmc on Lorentzian manifolds and establish a nontrivial example. Then, we examine the general properties of (PZS)<sub>4</sub> space-times and express the physical consequences of this space-time. Among others, it is demonstrated that a (PZS)<sub>4</sub> space-time admitting a ssnmc whose Ricci tensor vanishes becomes a GRW space-time as well as a perfect fluid space-time and a purely electric space-time under a certain condition.</div></div>\",\"PeriodicalId\":49630,\"journal\":{\"name\":\"Reports on Mathematical Physics\",\"volume\":\"95 1\",\"pages\":\"Pages 39-52\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2025-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Reports on Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0034487725000096\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Reports on Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0034487725000096","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}

引用次数: 0

摘要

本文旨在研究允许一类半对称非度量连接（ssnmc）的伪Z对称时空（PZS）4。首先，我们仔细研究了ssnmc对洛伦兹流形的影响，并建立了一个非平凡的例子。然后，我们考察了（PZS）4时空的一般性质，并表达了这种时空的物理后果。其中，证明了在一定条件下，存在Ricci张量消失的ssnmc的（PZS）4时空可以成为GRW时空、完美流体时空和纯电时空。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Pseudo Z Symmetric Space-Times Admitting a Type of Semi-Symmetric Nonmetric Connection

This paper aims at investigating pseudo Z symmetric space-times (PZS)₄ admitting a type of semi-symmetric nonmetric connection (ssnmc). At first, we scrutinize the impact of a ssnmc on Lorentzian manifolds and establish a nontrivial example. Then, we examine the general properties of (PZS)₄ space-times and express the physical consequences of this space-time. Among others, it is demonstrated that a (PZS)₄ space-time admitting a ssnmc whose Ricci tensor vanishes becomes a GRW space-time as well as a perfect fluid space-time and a purely electric space-time under a certain condition.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.