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Li, X; Chang, Z; Li, X (reprint author), Chongqing Univ, Dept Phys, Chongqing 401331, Peoples R China.
Exact solution of vacuum field equation in Finsler spacetime
发表期刊PHYSICAL REVIEW D
语种英语
关键词Cosmological Constant Special Relativity Dark-matter Constraints Gravity Symmetry Sample Length
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.
2014
ISSN1550-7998
卷号90期号:6页码:64049
学科领域Physics
DOI10.1103/PhysRevD.90.064049
收录类别SCI
项目资助者NSFC [11375203, 11305181] ; NSFC [11375203, 11305181] ; NSFC [11375203, 11305181] ; NSFC [11375203, 11305181]
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/15648
专题理论物理所科研产出_SCI论文
通讯作者Li, X (reprint author), Chongqing Univ, Dept Phys, Chongqing 401331, Peoples R China.
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Li, X,Chang, Z,Li, X . Exact solution of vacuum field equation in Finsler spacetime[J]. PHYSICAL REVIEW D,2014,90(6):64049.
APA Li, X,Chang, Z,&Li, X .(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.
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