Nonlinear solutions of long-wavelength gravitational radiation.
Nonlinear solutions of long-wavelength gravitational radiation.
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长波长引力辐射的非线性解。
DOI：
10.1103/physrevd.43.3214
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发表时间：
1991
期刊：
影响因子：
--
通讯作者：
Salopek
中科院分区：
文献类型：
--
作者：
Salopek
在一个显着的改进均匀minissuperspace模型，它表明，经典的非线性演化的非均匀标量场和度规是易于处理的波动的波长大于哈勃半径。忽略二阶空间梯度，人们可以通过调用新的正则变量的变换来求解能量约束以及演化方程。Hamilton-Jacobi方程是可分的，并给出了引力辐射和多个标量场通过指数势相互作用的完全解。虽然时间参数是任意的，但自然选择是三度规的决定因素。动量约束可以简单地用定义空间坐标的新正则变量来表示。长波长的分析是必不可少的一个适当的制定随机通货膨胀，使一个模型的非高斯原始波动的结构形成。
In a significant improvement over homogeneous minisuperspace models, it is shown that the classical nonlinear evolution of inhomogeneous scalar fields and the metric is tractable when the wavelength of the fluctuations is larger than the Hubble radius. Neglecting second-order spatial gradients, one can solve the energy constraint as well as the evolution equations by invoking a transformation to new canonical variables. The Hamilton-Jacobi equation is separable and complete solutions are given for gravitational radiation and multiple scalar fields interacting through an exponential potential. Although the time parameter is arbitrary, the natural choice is the determinant of the three-metric. The momentum constraint may be simply expressed in terms of the new canonical variables which define the spatial coordinates. The long-wavelength analysis is essential for a proper formulation of stochastic inflation which enables one to model non-Gaussian primordial fluctuations for structure formation.