论文标题
弱耗散状态期间汉密尔顿雅各比方程的通货膨胀解决方案
Inflationary Solution of Hamilton Jacobi Equations during Weak Dissipative Regime
论文作者
论文摘要
在本文中，引入了一种优雅的数学方法来求解温暖的通货膨胀模型的方程，而无需使用较慢的胶卷以外的其他近似值。这种称为汉密尔顿 - 雅各布形式主义的重要通货膨胀方法。在这里，Tachyon场和不完美的流体被认为是产生通胀的宇宙成分。为了考虑到通货膨胀模型，开发了一种一般形式主义，进一步的工作仅限于弱耗散制度。对模型进行了详细的分析，以将三种不同的散装和耗散系数选择为恒定和变量（哈勃参数的功能和充气的功能）。在每种情况下，涉及的模型参数都受到限制，以绘制标量光谱指数和张量比标量比的物理可接受范围。参数轨迹证明，所有三种情况的获得结果都与普朗克天体物理数据兼容。此外，还以图形方式验证了温暖的通货膨胀和慢速限制的存在。
In this paper, an elegant mathematical approach is introduced to solve the equations of warm inflationary model without using extra approximations other than slow-roll. This important inflationary method known as Hamilton-Jacobian formalism. Here tachyon field and the imperfect fluid are considered to be the cosmic ingredients to create inflation. A general formalism is developed for the considered inflationary model and further work is restricted to weak dissipative regime. A detailed analysis of the model is presented for three different choices of bulk and dissipative coefficients taking as constant as well as variable (function of Hubble parameter and inflaton). In each case, the involved model parameters are constrained to plot the physical acceptable range of scalar spectral index and tensor to scalar ratio. The parametric trajectories proved that the acquired results for all the three cases are compatible with Planck astrophysical data. Furthermore, the existence of warm inflation and slow-roll limit are also verified graphically.
