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Geometry of Black Holes最新文献

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Basic notions 基本概念
Geometry of Black Holes Pub Date : 2020-08-25 DOI: 10.1093/oso/9780198855415.003.0001
P. Chruściel
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引用次数: 0
Some applications 一些应用程序
Geometry of Black Holes Pub Date : 2020-08-25 DOI: 10.1093/oso/9780198855415.003.0003
P. Chruściel
{"title":"Some applications","authors":"P. Chruściel","doi":"10.1093/oso/9780198855415.003.0003","DOIUrl":"https://doi.org/10.1093/oso/9780198855415.003.0003","url":null,"abstract":"The aim of this chapter is to present key applications of causality theory, as relevant to black-hole spacetimes. For this we need to introduce the concept of conformal completions, which is done in Section 3.1. We continue, in Section 3.2, with a review of the null splitting theorem of Galloway. Section 3.3 contains complete proofs of a few versions of the topological censorship theorems, which are otherwise scattered across the literature, and which play a basic role in understanding the topology of black holes. In Section 3.4 we review some key incompleteness theorems, also known under the name of singularity theorems. Section 3.5 is devoted to the presentation of a few versions of the area theorem, which is a cornerstones of ‘black-hole thermodynamics’. We close this chapter with a short discussion of the role played by causality theory when studying the wave equation.","PeriodicalId":129765,"journal":{"name":"Geometry of Black Holes","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124758050","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Projection diagrams 投影图
Geometry of Black Holes Pub Date : 2020-08-25 DOI: 10.1093/oso/9780198855415.003.0007
P. Chruściel
{"title":"Projection diagrams","authors":"P. Chruściel","doi":"10.1093/oso/9780198855415.003.0007","DOIUrl":"https://doi.org/10.1093/oso/9780198855415.003.0007","url":null,"abstract":"In this chapter we show that one can usefully represent classes of non-spherically symmetric geometries in terms of two-dimensional diagrams, called projection diagrams, using an auxiliary two-dimensional metric constructed out of the spacetime metric. Whenever such a construction can be carried out, the issues such as stable causality, global hyperbolicity, the existence of event or Cauchy horizons, the causal nature of boundaries, and the existence of conformally smooth infinities become evident by inspection of the diagrams.","PeriodicalId":129765,"journal":{"name":"Geometry of Black Holes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116632399","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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