New Bondi-type outgoing boundary condition for the Einstein equations with cosmological constant

doi:10.1142/S0218271815500819

CSpace > 应用数学研究所

	New Bondi-type outgoing boundary condition for the Einstein equations with cosmological constant
	He, Xiaokai 1; Cao, Zhoujian2
	2015-09-01
发表期刊	INTERNATIONAL JOURNAL OF MODERN PHYSICS D
ISSN	0218-2718
卷号	24 期号:10 页码:14
摘要	In 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.
关键词	Bondi-Sachs coordinate cosmological constant gravitational wave
DOI	10.1142/S0218271815500819
语种	英语
资助项目	NSFC[11375260] ; NSFC[11401199] ; Research Foundation of Education Bureau of Hunan Province, China[14C0254]
WOS研究方向	Astronomy & Astrophysics
WOS类目	Astronomy & Astrophysics
WOS记录号	WOS:000359723100014
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20535
专题	应用数学研究所
通讯作者	Cao, Zhoujian
作者单位	1.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
推荐引用方式 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.