{"title":"陈-张引力瞬子的孪生理论 *","authors":"Maciej Dunajski and Paul Tod","doi":"10.1088/1361-6382/ad70eb","DOIUrl":null,"url":null,"abstract":"Toric Ricci–flat metrics in dimension four correspond to certain holomorphic vector bundles over a twistor space. We construct these bundles explicitly, by exhibiting and characterising their patching matrices, for the five–parameter family of Riemannian ALF metrics constructed by Chen and Teo. The Chen–Teo family contains a two–parameter family of asymptotically flat gravitational instantons. The patching matrices for these instantons take a simple rational form.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":null,"pages":null},"PeriodicalIF":3.6000,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Twistor theory of the Chen–Teo gravitational instanton *\",\"authors\":\"Maciej Dunajski and Paul Tod\",\"doi\":\"10.1088/1361-6382/ad70eb\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Toric Ricci–flat metrics in dimension four correspond to certain holomorphic vector bundles over a twistor space. We construct these bundles explicitly, by exhibiting and characterising their patching matrices, for the five–parameter family of Riemannian ALF metrics constructed by Chen and Teo. The Chen–Teo family contains a two–parameter family of asymptotically flat gravitational instantons. The patching matrices for these instantons take a simple rational form.\",\"PeriodicalId\":10282,\"journal\":{\"name\":\"Classical and Quantum Gravity\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.6000,\"publicationDate\":\"2024-08-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Classical and Quantum Gravity\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1088/1361-6382/ad70eb\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Classical and Quantum Gravity","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1361-6382/ad70eb","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
摘要
四维的 Toric Ricci-flat 度量对应于扭曲空间上的某些全态向量束。我们通过展示和描述这些束的补间矩阵,为陈-张(Chen and Teo)构建的五参数黎曼ALF度量族明确地构建了这些束。陈-张系列包含一个渐近平引力瞬子的两参数系列。这些瞬子的修补矩阵采用简单的有理形式。
Twistor theory of the Chen–Teo gravitational instanton *
Toric Ricci–flat metrics in dimension four correspond to certain holomorphic vector bundles over a twistor space. We construct these bundles explicitly, by exhibiting and characterising their patching matrices, for the five–parameter family of Riemannian ALF metrics constructed by Chen and Teo. The Chen–Teo family contains a two–parameter family of asymptotically flat gravitational instantons. The patching matrices for these instantons take a simple rational form.
期刊介绍:
Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.