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arXiv 1403.1815gr-qcmath-phmath.MP
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修正质量引力和非对角虫洞变形的精确解

Exact Solutions in Modified Massive Gravity and Off-Diagonal Wormhole Deformations

Sergiu I. Vacaru

摘要:

探索了爱因斯坦引力(例如,虫洞配置)中的“素”度量到f(R,T)修正和大质量/双度量引力理论中的“目标”精确解的非对角变形。这些新的解可能是Killing对称的,也可能不是Killing对称的,并且可以用有效诱导质量、各向异性极化相互作用和宇宙学常数来表征。对于非完整变形(共形)椭球/环面和/或孤子对称性,特别是小偏心率旋转配置,我们可以生成虫洞一样的对象匹配外部黑色椭球-德西特几何。我们的结论是,有非完整的变换和/或非平凡的限制精确解的广义相对论时,修改/大规模的引力效应的非对角和/或非完整参数相互作用建模。

英文摘要:

There are explored off-diagonal deformations of "prime" metrics in Einstein gravity (for instance, for wormhole configurations) into "target" exact solutions in f(R,T)-modified and massive/ bi-metric gravity theories. The new classes of solutions may posses, or not, Killing symmetries and can be characterized by effective induced masses, anisotropic polarized interactions and cosmological constants. For nonholonomic deformations with (conformal) ellipsoid/ toroid and/or solitonic symmetries and, in particular, for small eccentricity rotoid configurations, we can generate wormholes like objects matching external black ellipsoid - de Sitter geometries. We conclude that there are nonholonomic transforms and/or non-trivial limits to exact solutions in general relativity when modified/ massive gravity effects are modeled by off-diagonal and/or nonholonomic parametric interactions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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