{"title":"非真空静止轴对称型D时空的广义Plebański-Demiański度规","authors":"Hiroaki Nakajima , Ya Guo , Wenbin Lin","doi":"10.1016/j.aop.2025.170030","DOIUrl":null,"url":null,"abstract":"<div><div>We study an stationary axisymmetric type D metric with the additional condition such that two real null tetrads are geodesic and shearfree, but without the vacuum or electrovacuum condition, neither asymptotic flatness assumption. We show that by choosing the coordinates appropriately, we obtain a generalization of the Plebański-Demiański (PD) metric. We also confirm how this metric naturally reduces to the original PD one by requiring the electrovacuum condition.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170030"},"PeriodicalIF":3.0000,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A generalized Plebański-Demiański metric for non-vacuum stationary axisymmetric type D spacetime\",\"authors\":\"Hiroaki Nakajima , Ya Guo , Wenbin Lin\",\"doi\":\"10.1016/j.aop.2025.170030\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We study an stationary axisymmetric type D metric with the additional condition such that two real null tetrads are geodesic and shearfree, but without the vacuum or electrovacuum condition, neither asymptotic flatness assumption. We show that by choosing the coordinates appropriately, we obtain a generalization of the Plebański-Demiański (PD) metric. We also confirm how this metric naturally reduces to the original PD one by requiring the electrovacuum condition.</div></div>\",\"PeriodicalId\":8249,\"journal\":{\"name\":\"Annals of Physics\",\"volume\":\"478 \",\"pages\":\"Article 170030\"},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2025-04-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0003491625001113\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003491625001113","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
A generalized Plebański-Demiański metric for non-vacuum stationary axisymmetric type D spacetime
We study an stationary axisymmetric type D metric with the additional condition such that two real null tetrads are geodesic and shearfree, but without the vacuum or electrovacuum condition, neither asymptotic flatness assumption. We show that by choosing the coordinates appropriately, we obtain a generalization of the Plebański-Demiański (PD) metric. We also confirm how this metric naturally reduces to the original PD one by requiring the electrovacuum condition.
期刊介绍:
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