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Big Rip and Big Crunch Cosmological Models in a Gravitational Field with Torsion
Gravitation and Cosmology ( IF 0.9 ) Pub Date : 2021-03-24 , DOI: 10.1134/s0202289321010047
M. A. Bakry , Aryn T. Shafeek

Abstract

The gravitational field with torsion is being constructed by using the parametrized absolute parallelism geometry. A generalized law of variation of Hubble’s parameter in evolutionary cosmological models is used. The cosmological models under the influence of the gravitational field with torsion are obtained and discussed. A new model of the Universe is presented using a special class of Riemann–Cartan geometry. This model is oscillating with expansion and contraction at different stages. It behaves normally as the conventional Big Bang model in the first half-age until it reaches the moment of a Big Rip, then reverses its behavior as a result of a changes in the pressure and torsion until it reaches a Big Crunch at the end of the second half-age. We suppose that the Big Rip singularity is replaced by a regular maximum of the scale factor at the Big Rip due to a possible physical mechanism of quantum nature. The positivity condition for the energy density of matter leads to exclusion of open and closed universes.



中文翻译:

引力场扭转中的大裂变和大紧缩宇宙学模型

摘要

通过使用参数化的绝对平行几何图形来构造具有扭转的重力场。使用了进化宇宙学模型中哈勃参数变化的广义定律。获得并讨论了重力场在扭转作用下的宇宙学模型。使用一类特殊的Riemann–Cartan几何图形,提出了一种新的宇宙模型。该模型在不同阶段随着膨胀和收缩而振荡。在上半个年龄段,它的行为与常规的大爆炸模型一样,直到达到大裂缝的时刻,然后由于压力和扭力的变化而反转其行为,直到它在大结节结束时达到大咬嚼为止。后半段年龄。我们假设由于可能的量子性质的物理机制,Big Rip奇异性被Big Rip处的比例因子的规则最大值替代。物质能量密度的正条件导致排斥开放和封闭的宇宙。

更新日期:2021-03-25
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