{"title":"作为弱隔离地平线的空无穷大","authors":"Abhay Ashtekar, Simone Speziale","doi":"arxiv-2402.17977","DOIUrl":null,"url":null,"abstract":"Null infinity (Scri) arises as a boundary of the Penrose conformal completion\nof an asymptotically flat physical space-time. We first note that Scri is a\nweakly isolated horizon (WIH), and then show that its familiar properties can\nbe derived from the general WIH framework. This seems quite surprising because\nphysics associated with black hole (and cosmological) WIHs is very different\nfrom that extracted at Scri. We show that these differences can be directly\ntraced back to the fact that Scri is a WIH in the conformal completion rather\nthan the physical space-time. In particular, the BMS group at Scri stems from\nthe symmetry group of WIHs. We also introduce a unified procedure to arrive at\nfluxes and charges associated with the BMS symmetries at Scri and those\nassociated with black hole (and cosmological) horizons. This procedure differs\nfrom those commonly used in the literature and its novel elements seem\ninteresting in their own right. The fact that is there is a single mathematical\nframework underlying black hole (and cosmological) horizons and Scri paves the\nway to explore the relation between horizon dynamics in the strong field region\nand waveforms at infinity. It should also be useful in the analysis of black\nhole evaporation in quantum gravity.","PeriodicalId":501275,"journal":{"name":"arXiv - PHYS - Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Null Infinity as a Weakly Isolated Horizon\",\"authors\":\"Abhay Ashtekar, Simone Speziale\",\"doi\":\"arxiv-2402.17977\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Null infinity (Scri) arises as a boundary of the Penrose conformal completion\\nof an asymptotically flat physical space-time. We first note that Scri is a\\nweakly isolated horizon (WIH), and then show that its familiar properties can\\nbe derived from the general WIH framework. This seems quite surprising because\\nphysics associated with black hole (and cosmological) WIHs is very different\\nfrom that extracted at Scri. We show that these differences can be directly\\ntraced back to the fact that Scri is a WIH in the conformal completion rather\\nthan the physical space-time. In particular, the BMS group at Scri stems from\\nthe symmetry group of WIHs. We also introduce a unified procedure to arrive at\\nfluxes and charges associated with the BMS symmetries at Scri and those\\nassociated with black hole (and cosmological) horizons. This procedure differs\\nfrom those commonly used in the literature and its novel elements seem\\ninteresting in their own right. The fact that is there is a single mathematical\\nframework underlying black hole (and cosmological) horizons and Scri paves the\\nway to explore the relation between horizon dynamics in the strong field region\\nand waveforms at infinity. It should also be useful in the analysis of black\\nhole evaporation in quantum gravity.\",\"PeriodicalId\":501275,\"journal\":{\"name\":\"arXiv - PHYS - Mathematical Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2402.17977\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2402.17977","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Null infinity (Scri) arises as a boundary of the Penrose conformal completion
of an asymptotically flat physical space-time. We first note that Scri is a
weakly isolated horizon (WIH), and then show that its familiar properties can
be derived from the general WIH framework. This seems quite surprising because
physics associated with black hole (and cosmological) WIHs is very different
from that extracted at Scri. We show that these differences can be directly
traced back to the fact that Scri is a WIH in the conformal completion rather
than the physical space-time. In particular, the BMS group at Scri stems from
the symmetry group of WIHs. We also introduce a unified procedure to arrive at
fluxes and charges associated with the BMS symmetries at Scri and those
associated with black hole (and cosmological) horizons. This procedure differs
from those commonly used in the literature and its novel elements seem
interesting in their own right. The fact that is there is a single mathematical
framework underlying black hole (and cosmological) horizons and Scri paves the
way to explore the relation between horizon dynamics in the strong field region
and waveforms at infinity. It should also be useful in the analysis of black
hole evaporation in quantum gravity.