Exact solution of vacuum field equation in Finsler spacetime
Li X(李昕); 常哲;Li, X; Chang, Z
刊名PHYSICAL REVIEW D
2014
卷号90期号:6页码:64049
学科分类Astronomy & Astrophysics; Physics
DOI10.1103/PhysRevD.90.064049
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.
收录类别SCI
WOS记录号WOS:000343759400003
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被引频次:16[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ihep.ac.cn/handle/311005/225285
专题中国科学院高能物理研究所_理论物理室_期刊论文
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Li X,常哲;Li, X,Chang, Z. Exact solution of vacuum field equation in Finsler spacetime[J]. PHYSICAL REVIEW D,2014,90(6):64049.
APA 李昕,常哲;Li, X,&Chang, Z.(2014).Exact solution of vacuum field equation in Finsler spacetime.PHYSICAL REVIEW D,90(6),64049.
MLA 李昕,et al."Exact solution of vacuum field equation in Finsler spacetime".PHYSICAL REVIEW D 90.6(2014):64049.
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