Hamiltonian theory of classical and quantum gauge invariant perturbations in Bianchi I spacetimes

被引：11

作者：

Agullo, Ivan ^{[1
]}

Olmedo, Javier ^{[1
]}

Sreenath, V ^{[2
]}

机构：

[1] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA

[2] Natl Inst Technol Karnataka, Dept Phys, Mangalore 575025, India

来源：

PHYSICAL REVIEW D | 2020年 / 101卷 / 12期

关键词：

HOMOGENEOUS COSMOLOGICAL MODELS; ANISOTROPY;

D O I：

10.1103/PhysRevD.101.123531

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We derive a Hamiltonian formulation of the theory of gauge invariant, linear perturbations in anisotropic Bianchi I spacetimes, and describe how to quantize this system. The matter content is assumed to be a minimally coupled scalar field with potential V(phi). We show that a Bianchi I spacetime generically induces both anisotropies and quantum entanglement on cosmological perturbations, and provide the tools to compute the details of these features. We then apply this formalism to a scenario in which the inflationary era is preceded by an anisotropic Bianchi I phase, and discuss the potential imprints in observable quantities. The formalism developed here paves the road to a simultaneous canonical quantization of both the homogeneous degrees of freedom and the perturbations, a task that we develop in a companion paper.

引用

页数：30

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