Exact solution of vacuum field equation in Finsler spacetime

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	Exact solution of vacuum field equation in Finsler spacetime
	Li, X ; Chang, Z
刊名	PHYSICAL REVIEW D
	2014
卷号	90 期号:6 页码:64049
关键词	COSMOLOGICAL CONSTANT SPECIAL RELATIVITY DARK-MATTER CONSTRAINTS GRAVITY SYMMETRY SAMPLE LENGTH
ISSN号	1550-7998
通讯作者	Li, X (reprint author), Chongqing Univ, Dept Phys, Chongqing 401331, Peoples R China.
英文摘要	We suggest that the vacuum field equation in Finsler spacetime is equivalent to the vanishing of the Ricci scalar. The Schwarzschild metric can be deduced from a solution of our field equation if the spacetime preserves spherical symmetry. Supposing that the spacetime preserves the symmetry of the "Finslerian sphere," we find a non-Riemannian exact solution of the Finslerian vacuum field equation. The solution is similar to the Schwarzschild metric. It reduces to the Schwarzschild metric as the Finslerian parameter. vanishes. It is proven that the Finslerian covariant derivative of the geometrical part of the gravitational field equation is conserved. The interior solution is also given. We get solutions of the geodesic equation in such a Schwarzschild-like spacetime, and show that the geodesic equation returns to its counterpart in Newtonian gravity in the weak-field approximation. Celestial observations give a constraint on the Finslerian parameter is an element of < 10(-4), and the recent Michelson-Morley experiment requires is an element of < 10(-16). A counterpart of Birkhoff's theorem exists in the Finslerian vacuum. This shows that the Finslerian gravitational field with the symmetry of the "Finslerian sphere" in vacuum must be static.
学科主题	Physics
收录类别	SCI
资助信息	NSFC [11375203, 11305181]
原文出处	http://dx.doi.org/10.1103/PhysRevD.90.064049
语种	英语
WOS记录号	WOS:000343759400003
公开日期	2015-06-03
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15648]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Li, X,Chang, Z. Exact solution of vacuum field equation in Finsler spacetime[J]. PHYSICAL REVIEW D,2014,90(6):64049.
APA	Li, X,&Chang, Z.(2014).Exact solution of vacuum field equation in Finsler spacetime.PHYSICAL REVIEW D,90(6),64049.
MLA	Li, X,et al."Exact solution of vacuum field equation in Finsler spacetime".PHYSICAL REVIEW D 90.6(2014):64049.