论文标题

宇宙高流体,扭转和非金属度

Cosmological Hyperfluids, Torsion and Non-metricity

论文作者

Iosifidis, Damianos

论文摘要

我们开发了一种新型的宇宙学高流体模型,即具有固有的高音素体的流体,可诱导时空扭转和非中型。将宇宙学原理施加到公制的植入空间,我们介绍了FLRW宇宙中高光量张量的最通用的协变形式,并因此构建了一种用于宇宙学目的的新型高流体模型。在宇宙学环境中扩展了先前的不受限制的高流体模型,我们为能量摩托车和超音摩植物建立了保护定律,因此为研究宇宙学中的非济曼效应提供了完整的宇宙学设置。在此帮助的帮助下,我们发现文献中早些时候报道的扭转和非中的形式,还获得了具有扭转和非现象性的弗里德曼方程的最通用形式。我们还讨论了我们的模型的某些应用,与文献中的已知结果联系,并指向未来的方向。

We develop a novel model for Cosmological Hyperfluids, that is fluids with intrinsic hypermomentum that induce spacetime torsion and non-metricity. Imposing the Cosmological Principle to Metric-Affine Spaces, we present the most general covariant form of the hypermomentum tensor in an FLRW Universe along with its conservation laws and therefore construct a novel hyperfluid model for Cosmological purposes. Extending the previous model of the unconstrained hyperfluid in a Cosmological setting we establish the conservation laws for energy-momentum and hypermomentum and therefore provide the complete Cosmological setup to study non-Riemannian effects in Cosmology. With the help of this we find the forms of torsion and non-metricity that were earlier reported in the literature and also obtain the most general form of the Friedmann equations with torsion and non-metricity. We also discuss some applications of our model, make contact with the known results in the literature and point to future directions.

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