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String-inspired Teleparallel cosmology
Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-11-20 , DOI: 10.1016/j.nuclphysb.2020.115238
Sebastian Bahamonde , Mihai Marciu , Sergei D. Odintsov , Prabir Rudra

The present paper represents an attempt for a very generic string inspired theory of gravitation, based on a stringy action in the teleparallel gravity which includes a specific functional which depends on the scalar field and its kinetic energy, as well as the torsion and boundary terms, embedding also possible effects from the teleparallel Gauss–Bonnet invariants. We focus our study in FLRW cosmology. After we deduce the cosmological equations for the associated generic theory of gravitation, we focus on string inspired couplings which are studied by considering different analytical techniques. The first analytical technique is based on the linear stability theory, by introducing proper dimensionless variables which enables us to study the structure of the phase space and the associated physical effects. In this case we have obtained different cosmological solutions which corresponds to matter and dark energy dominated solutions, achieving a possible transition between matter and dark energy dominated epochs. For each type of cosmological solutions we have discussed the corresponding physical features, attaining viable constraints for the coupling constants due to dynamical effects. The dynamical study of the physical features included also a numerical analysis by fine–tuning the initial conditions deep into the matter era, obtaining possible trajectories for the effective equation of state for specific coupling functions.



中文翻译:

受弦启发的Teleparallel宇宙学

本论文代表了一种非常通用的基于弦的引力理论的尝试,该理论基于远平行重力中的弦作用,其中包括取决于标量场及其动能以及扭转和边界项的特定函数,嵌入远距平行高斯盖尼特不变式的可能影响。我们将研究重点放在FLRW宇宙学上。在为相关的万有引力理论推导了宇宙学方程之后,我们将重点放在通过考虑不同的分析技术进行研究的弦启发式联轴器上。第一种分析技术基于线性稳定性理论,通过引入适当的无量纲变量,使我们能够研究相空间的结构和相关的物理效应。在这种情况下,我们获得了对应于物质和以暗能量为主的溶液的不同宇宙学解,从而实现了物质和以暗能量为主的时期之间的可能过渡。对于每种类型的宇宙学解决方案,我们都讨论了相应的物理特征,并由于动力学效应而获得了对耦合常数的可行约束。对物理特征的动力学研究还包括一个数值分析,通过对物质时代深处的初始条件进行微调,获得特定耦合函数的有效状态方程的可能轨迹。对于每种类型的宇宙学解决方案,我们都讨论了相应的物理特征,并由于动力学效应而获得了对耦合常数的可行约束。对物理特征的动力学研究还包括一个数值分析,通过对物质时代深处的初始条件进行微调,获得特定耦合函数的有效状态方程的可能轨迹。对于每种类型的宇宙学解决方案,我们都讨论了相应的物理特征,并由于动力学效应而获得了对耦合常数的可行约束。对物理特征的动力学研究还包括一个数值分析,通过对物质时代深处的初始条件进行微调,获得特定耦合函数的有效状态方程的可能轨迹。

更新日期:2020-11-25
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