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arXiv 2104.08095gr-qc
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Lyra流形中变质量暗物质相互作用系统的动力学稳定性

Dynamical stability of an interacting quintessence with varying-mass dark matter particles in Lyra manifold

Goutam Mandal, Sujay Kr. Biswas

摘要:

在空间平坦FLRW宇宙模型的背景动力学中,我们研究了Lyra几何背景下的相互作用暗能量模型。无压尘埃被认为是暗物质,其质量通过标量场随时间变化,在这个意义上,暗物质粒子的衰变再现了标量场。在这里,我们采用经典标量场作为暗能量的候选者,暗能量是以指数势演化的。暗物质粒子的质量也被认为是标量场的指数函数。在动力系统分析的框架下研究宇宙演化方程。适当地选取无扰动变量,使宇宙演化方程转化为自治的常微分方程组。线性稳定性是通过在相空间中的临界点附近扰动系统来找到临界点的性质。经典稳定性也是通过求出声速来实现的。动力系统探索了几个可行的结果,这些结果在物理上对某些参数区域感兴趣。通过临界点发现了晚时标量场主导吸引子,对应于加速宇宙。实现了代表晚期减速宇宙的标量场-位移矢量场标度解。暗能量-暗物质标度解也表现为临界点,这些临界点对应于暗能量和暗物质能量密度量级相似的加速吸引子,为符合问题提供了可能的解.

英文摘要:

In the background dynamics of a spatially flat FLRW model of the universe, we investigate an interacting dark energy model in the context of Lyra's geometry. Pressure-less dust is considered as dark matter, mass of which varies with time via scalar field in the sense that decaying of dark matter particles reproduces the scalar field. Here, quintessence scalar field is adopted as dark energy candidate which evolves in exponential potential. Mass of the dark matter particles is also considered to be evolved in exponential function of the scalar field. Cosmological evolution equations are studied in the framework of dynamical systems analysis. Dimension-less variables are chosen properly so that the cosmological evolution equations are converted into an autonomous system of ordinary differential equations. Linear stability is performed to find the nature of critical points by perturbing the system around the critical points in the phase space. Classical stability is also executed by finding out the speed of sound. Dynamical systems explore several viable results which are physically interested in some parameter regions. Late-time scalar field dominated attractors are found by critical points, corresponding to the accelerating universe. Scalar field-displacement vector field scaling solutions are realized that represent late time decelerated universe. Dark energy -dark matter scaling solutions are also exhibited by critical points which correspond to accelerated attractors possessing similar order of energy densities of dark energy and dark matter, that provides the possible solutions of coincidence problem.

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