Semianalytic calculation of gravitational wave spectrum nonlinearly induced from primordial curvature perturbations

Kazunori Kohri and Takahiro Terada
Phys. Rev. D 97, 123532 – Published 22 June 2018

Abstract

Whether or not the primordial gravitational wave (GW) produced during inflation is sufficiently strong to be observable, GWs are necessarily produced from the primordial curvature perturbations in the second order of perturbation. The induced GWs can be enhanced by curvature perturbations enhanced at small scales or by the presence of matter-dominated stages of the cosmological history. We analytically calculate the integral in the expression of the power spectrum of the induced GWs, which is a universal part independent of the spectrum of the primordial curvature perturbations. This makes the subsequent numerical integrals significantly easy. In simple cases, we derive fully analytic formulas for the induced GW spectrum.

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  • Received 1 May 2018

DOI:https://doi.org/10.1103/PhysRevD.97.123532

© 2018 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Gravitation, Cosmology & AstrophysicsParticles & Fields

Authors & Affiliations

Kazunori Kohri1,2,3 and Takahiro Terada1

  • 1Theory Center, IPNS, KEK, 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan
  • 2The Graduate University for Advanced Studies (SOKENDAI), 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan
  • 3Rudolf Peierls Centre for Theoretical Physics, The University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom

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Issue

Vol. 97, Iss. 12 — 15 June 2018

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