Can non-local or higher derivative theories provide alternatives to inflation?
Can non-local or higher derivative theories provide alternatives to inflation?
复制标题
非局部或高阶导数理论能否提供通货膨胀的替代方案？
DOI：
10.1088/1475-7516/2013/11/029
复制
发表时间：
2013
影响因子：
6.4
通讯作者：
N. Ahmadi
中科院分区：
文献类型：
--
作者：
G. Geshnizjani;N. Ahmadi
从绝热真空涨落产生所观察到的标度不变功率谱的标准机制依赖于曲率扰动作用中场的一阶导数。已经证明[1]，在这种假设下，任何与宇宙学观测相匹配的早期宇宙理论都应该包括加速膨胀（即暴胀）的阶段，或者它必须打破经典广义相对论的以下原则之一：能量条件（NEC），亚光速信号传播或亚普朗克能量密度。我们将这个证明扩展到一个大类的理论与更高的（空间）衍生或非本地条款的行动。有趣的是，只有在具有ωk <$k0和k3的Lifshitz点附近的理论仍然可行。
The standard mechanism for producing the observed scale-invariant power spectrum from adiabatic vacuum fluctuations relies on first order derivative of fields in the action for curvature perturbations. It has been proven [1] that, under this ansatz, any theory of early universe that matches cosmological observations should include a phase of accelerated expansion (i.e. inflation) or it has to break at least one of the following tenets of classical general relativity: Null Energy Conditions (NEC), subluminal signal propagation, or sub-Planckian energy densities. We extend this proof to a large class of theories with higher (spatial) derivative or non-local terms in the action. Interestingly, only theories in the neighborhood of Lifshitz points with ωk∝k0 and k3 remain viable.