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arXiv 0707.3305math-phmath.MP
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芬斯洛修正了宇宙的压力和能量。各自的宇宙学方程

Finsleroid Corrects Pressure and Energy of Universe. Respective Cosmological Equations

G. S. Asanov

摘要:

证明了哈勃常数是伪Finsleroid-Landsberg因子。在仔细计算了相应的芬斯勒体-情况曲率张量和所需的收缩量后,明确地找到了协变守恒的伪芬斯勒体-引力张量。所产生的方程涉及一个参数g的扩展,它测量单位向量的指标线的曲率的芬斯勒偏差。伪芬斯勒体轴的矢量场b^i(x)自然地等同于宇宙物质的平均速度矢量场。Robertson-Walker度量的一致(和唯一)的延续,从而弗里德曼度量,在Finslerian域的参数g出现。宇宙学压力和能量密度被证明是g ^2的线性函数,因此,要与观测到的减速参数的负性质相一致,似乎不需要负压的存在。我们澄清了所有涉及的张量对象的显式结构。

英文摘要:

The Hubble constant proves to be the pseudo-Finsleroid--Landsberg factor. The covariantly conserved pseudo-Finsleroid--gravitational tensor is explicitly found after evaluating the respective Finsleroid--case curvature tensor and required contractions in attentive way. The equations arisen involve one parameter g of extension which measures the Finslerian deviation of the curvature of the indicatrix of unit vectors. The vector field b^i(x) of the axes of the pseudo--Finsleroids is naturally identified to the field of average velocity vectors of matter of the universe. The consistent (and unique) continuation of the Robertson--Walker metric, and hence the Friedmann metrics, in the Finslerian domain with respect to the parameter g is arisen. The cosmological pressure and energy density prove to be linear functions of g^2, so that the presence of the negative pressure seems to be not necessary to get the agreement with the observed negative nature of deceleration parameter. We clarify the explicit structure of all the involved tensorial objects.

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