标题： 基于新广义熵的对数状态方程全息宇宙学 显示英文标题

标题： Holographic cosmology with logarithmic equation of state based on a new generalized entropy

摘要： 在空间平坦的弗里德曼-罗伯森-沃尔克（FRW）宇宙中，一种暗粘性流体的宇宙学应用，以及其修改后的对数状态方程（EoS）的探讨，该状态方程是与晶体固体各向同性变形相关状态的类比。这种形式代表了一类所谓的对数流体，并能够解释加速的晚期宇宙。我们的研究基于诺吉里-奥丁采夫-法龙尼[1]提出的新广义熵函数。我们考虑熵宇宙学，并描述了在暗物质与粘性暗能量耦合存在的情况下晚期宇宙的演化。为了获得其演化的更详细图像，我们在模型中加入了对数修正幂律流体与暗物质的耦合，并研究了它们之间的各种相互作用形式。我们求解了与暗物质耦合的粘性流体的动力学方程，并得到了对数修正幂律暗能量密度和暗物质的能量密度表达式。研究结果以全息形式呈现，涉及诺吉里和奥丁采夫[2, 3]引入的广义全息截断。在渐近情况下，得到了哈勃函数以及熵宇宙学中暗物质的能量密度表达式。 显示英文摘要

摘要： The cosmological application of a dark viscous fluid in a spatially flat Friedmann-Robertson-Walker (FRW) universe with a modified logarithmic equation of state (EoS), being an analogue of the equation associated with the isotropic deformation of crystalline solids, is explored. This formalism represents a class of the so-called logotropic fluids, and allows explaining an accelerating late-time universe. Our research is based on a new generalized entropy function proposed by Nojiri-Odintsov-Faraoni [1]. We consider entropic cosmology and describe the evolution of the late time universe in the presence of dark matter coupled with viscous dark energy. In order to obtain a more detailed picture of its evolution, we add in our model a coupling of the log-corrected power-law fluid with dark matter, and study various interacting forms between them. We solve the system of dynamic equations for viscous dark fluid coupled with dark matter and obtain expressions for the log-corrected power-law dark energy density, and the energy density for dark matter. The research results are presented in holographic form in terms of generalized holographic cut-offs introduced by Nojiri and Odintsov [2, 3]. In the asymptotic case an expression for the Hubble function, and the energy density for dark matter in the entropic cosmology, are obtained.