Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations

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.

arXiv comment28 pages, 4 figures; published version

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• Scalar-induced gravitational waves including isocurvature perturbations with lattice simulations
• How large are curvature perturbations from slow first-order phase transitions? A gauge-invariant analysis
• Constraining scotogenic dark matter and primordial black holes using gravitational waves
• More on gravitational waves from double monodromy inflation
• Smearing of primordial gravitational waves
• Comprehensive analysis of dissipative effects in the induced gravitational waves
• Inflationary $\alpha$-Attractor Models with Singular Derivative of Potential
• Constant-roll inflation and primordial black holes within Barrow entropic framework
• Unique gravitational wave signatures of GLPV scalar-tensor theories
• Primordial black holes and induced gravitational waves from localized features in DBI inflation
• Primordial black holes and scalar induced gravitational waves from sound speed resonance in non-minimal derivative coupling inflation model
• Bridging inflation and reheating: chiral gravitational waves from aHz to GHz
• Flattened bispectrum of the scalar-induced gravitational waves
• Gravitational waves from resonant amplification of curvature perturbations during inflation
• Measuring the speed of scalar induced gravitational waves from observations
• Primordial gravitational waves from excited states
• Signatures of Primordial Gravitational Waves on the Large-Scale Structure of the Universe
• Covariant transverse-traceless projection for secondary gravitational waves
• A Faster Growth of Perturbations in an Early Matter Dominated Epoch: Primordial Black Holes and Gravitational Waves
• Correlating Gravitational Wave and Gamma-ray Signals from Primordial Black Holes
• Gravitational Waves from Gauge Quanta Produced during Inflation
• Scalar-Induced Gravitational Waves in Palatini $f(R)$ Gravity
• Constraining the inflaton potential with gravitational waves from oscillons
• The Dark Side of the Moon: Listening to Scalar-Induced Gravitational Waves
• Circularly polarized gravitational waves from parity-violating scalar-tensor theory
• Inflationary phase transitions in the early Universe: A Bayesian study with space-based gravitational-wave detectors
• Purely quadratic non-Gaussianity from tachyonic instability: Primordial black holes and scalar-induced gravitational waves
• Bispectrum of induced gravitational waves in the poltergeist mechanism