Cosmological gravitational wave background from primordial density perturbations
By Kishore N. Ananda, C. Clarkson, D. Wands. 2006
554 citations recorded by the source corpus.
We discuss the gravitational wave background generated by primordial density perturbations evolving during the radiation era. At second order in a perturbative expansion, density fluctuations produce gravitational waves. We calculate the power spectra of gravitational waves from this mechanism, and show that, in principle, future gravitational wave detectors could be used to constrain the primordial power spectrum on scales vastly different from those currently being probed by a large-scale structure. As examples we compute the gravitational wave background generated by both a power-law spectrum on all scales, and a delta-function power spectrum on a single scale.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/bd9cdce38778b802cb7f3e68bf52f5c5fa102353
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Citations in the corpus
- Observable Spectra of Induced Gravitational Waves from Inflation (2012, background): “ode of the tensor perturbation is taken: h ij(x;˝) = 1 (2ˇ)3=2 Z d3keikx h k(˝)e ij(k) + h k(˝)e ij(k) (A.4) where the polarization tensors e;e are given in terms of the orthonormal vectors (e;e) [25, 26,78]: e ij(k) = 1 p 2 [e ie j e ie j] e ij(k) = 1 p 2 [e ie j+ e ie j](A.5) these vectors have be”
- Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations (2007, methodology): “(20) Equation (20) reduces to the expression in [12] in the limit Ψ → Φ, w → 1/3 and c(2)s → 1/3.”
- Primordial black holes and second order gravitational waves from ultra-slow-roll inflation (2017, background): “esult for GW in Fig.5. In Fig.5, we also show the sensitivity curves [68{70] for the current and future observations from the Pulsar Timing Array (PTA) [71{74] 2The factor 8 was missed in Eq. (16) in [40]. { 7 { 10 -12 10 8 10 -4 1 10 -23 10 -18 10 -13 10 -8 10 -3 f/Hz GW TianQin LISA EPTA aLIGO Fig”
- General relativity and cosmic structure formation (2015, result): “me dragging is no more than 1 km/s. It should be noted that these numbers are scale dependent, as the acceleration is larger on smaller scales. We compare our simulation results also with predictions [21, 22] from second order perturbation theory for the power spectra of h ij, of B and of . The latt”
- New physics from the polarized light of the cosmic microwave background (2022, background): “There is a guaranteed lower bound for the amplitude of a stochastic background of GW sourced by the second-order scalar mode in the early Universe 205,206 .”
- Semianalytic calculation of gravitational wave spectrum nonlinearly induced from primordial curvature perturbations (2018, methodology): “tions. Whether or not the primordial GW is observable, there exits an independent generation mechanism for GWs.1 The GWs are generated from curvature perturbations in the second order of perturbation [22] although the tensor and scalar modes are decoupled in the rst order of perturbation as is well ”
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- Non-Gaussianity and the induced gravitational wave background (2021, background): “28) reproduces the standard result [32, 33, 53].”