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New Bondi-type outgoing boundary condition for the Einstein equations with cosmological constant
He, Xiaokai1; Cao, Zhoujian2
2015-09-01
Source PublicationINTERNATIONAL JOURNAL OF MODERN PHYSICS D
ISSN0218-2718
Volume24Issue:10Pages:14
AbstractIn the middle of last century, Bondi and his coworkers proposed an outgoing boundary condition for the Einstein equations. Recently, more and more observations imply that the Einstein equations should include a nonzero cosmological constant. A spacetime with a positive cosmological constant approaches to a de Sitter space asymptotically. Bondi's original boundary condition is not valid for these asymptotically de Sitter spacetimes. But the traditional conformally flat boundary condition excludes the gravitational radiation for the asymptotically de Sitter spacetimes. In this work, a new Bondi-type outgoing boundary condition based on Bondi-Sachs coordinates is considered. With this new boundary condition, the gravitational wave behavior for the asymptotically de Sitter spacetime is similar to the one for the asymptotically Minkowski spacetime. The traditional conformally flat boundary condition falls into a special subclass of the new boundary condition.
KeywordBondi-Sachs coordinate cosmological constant gravitational wave
DOI10.1142/S0218271815500819
Language英语
Funding ProjectNSFC[11375260] ; NSFC[11401199] ; Research Foundation of Education Bureau of Hunan Province, China[14C0254]
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000359723100014
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
Citation statistics
Cited Times:15[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20535
Collection应用数学研究所
Affiliation1.Hunan First Normal Univ, Sch Math & Computat Sci, Changsha 410205, Hunan, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
He, Xiaokai,Cao, Zhoujian. New Bondi-type outgoing boundary condition for the Einstein equations with cosmological constant[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS D,2015,24(10):14.
APA He, Xiaokai,&Cao, Zhoujian.(2015).New Bondi-type outgoing boundary condition for the Einstein equations with cosmological constant.INTERNATIONAL JOURNAL OF MODERN PHYSICS D,24(10),14.
MLA He, Xiaokai,et al."New Bondi-type outgoing boundary condition for the Einstein equations with cosmological constant".INTERNATIONAL JOURNAL OF MODERN PHYSICS D 24.10(2015):14.
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