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Metrica de Robertson-Walker - Wikipedia, le encyclopedia libere

Metrica de Robertson-Walker

De Wikipedia, le encyclopedia libere

In un tempore cosmic de 10 - 44 secundas post le Big Bang, le fluctuationes quantic del gravitate ha essite supprimite e le relativitate classic ha essite adequate. Nonobstante, le interactiones forte, debile e electromagnetic require un tractamento theoretic del campo quantic.

Le universo es assumite de esser homogenee e isotropic. Iste proprietates es cognoscite como le principio cosmologic e es supportate per le observate isotropia del CMBR o radiation microunde cosmic de fundo.

Le metrica del spatio-tempore ergo assume le forma del metrica de Robertson-Walker

ds^2=-dt^2+a^2(t)[\frac{dr^2}{1-kr^2}+r^2(d\theta^2+sen^2\theta d\phi^2)]

ubi r, φ e θ es le coordinatos polar "co-mobile", que remane fixate pro le objectos que seque le expansion cosmologic general. k es le curvatura scalar del spatio tridimensional. Si k = 0, le universo es plan, si k > 0 le universo es claudite e si k < 0 le universo es aperte. Le parametro non-dimensional a(t) es le factor de scala de universo. Il es usual assumer a0 = a(t0) = 1, ubi t0 es le tempore cosmic in le presente.

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