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Statistical anisotropy of primordial gravitational waves from generalized $\delta N$ formalism
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abstract
In this letter, we demonstrate how to use the generalized $\delta N$ formalism, which enables us to compute the evolution of all the large scale fluctuations, including gravitational waves, solely by solving the evolution of the background homogeneous Universe. Using the Noether charge density, we derive an analytic formula which describes the mapping between the fluctuations at the horizon crossing and the sourced gravitational waves at the end of inflation. This formula can apply also to an inflation model with an anisotropic background. Using this formula, we discuss the condition for the non-vanishing linear polarization and the qualitative difference between single- and multi-gauge field models.
Forward citations
Cited by 2 Pith papers
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Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta{N}$ formalism
A shear-free locally FLRW lattice framework for single-field inflation captures spatially varying expansion, curvature corrections, and nonlinear δN observables at a fraction of the cost of full numerical relativity.
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How Dilatation Invariance Suppresses Loop Corrections to Curvature Perturbations on CMB Scales
Dilatation invariance forces the non-linear curvature perturbation on super-Hubble scales to depend only on the decaying/growing mode, suppressing loop corrections to the CMB power spectrum even with sharp transitions.
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