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Scalar Induced Gravitational Waves in Different Gauges
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abstract
In this letter we calculate the scalar induced gravitational waves (SIGWs) accompanying the formation of primordial black hole during the radiation dominated era in three different gauges, i.e. synchronous gauge, Newton gauge and uniform curvature gauge, and we find that the energy density spectra of SIGWs, $\ogw(k)$, are identical in these three different gauges.
Forward citations
Cited by 8 Pith papers
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Observable Gravitational Wave Strain at Second Order
At second order, the gravitational-wave strain measured by geodesic observers exchanging light pulses is the transverse-traceless metric perturbation in the Newton gauge (h_N^(2)).
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General SIGW source for reheating dynamics
A gauge-invariant source term for scalar-induced gravitational waves is derived for smooth reheating with an inflaton field transitioning into fluids.
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Scalar-induced gravitational wave from domain wall perturbation
This paper derives, for the first time, the scalar-induced gravitational wave background sourced by domain wall perturbations, finding a resonant peak at the wall annihilation scale and a k^-16 high-frequency tail.
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How Well Do We Know the Scalar-Induced Gravitational Waves?
Non-Gaussian curvature perturbations, related to Gaussian ones by a logarithmic mapping, can make the scalar-induced gravitational wave background much larger or smaller than the standard quadratic calculation predicts.
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Scalar-induced gravitational waves from a box-shaped curvature power spectrum
Analytic SIGW spectra for a log-box curvature power spectrum: narrow-box geometric overlap factor turning IR slope k^{3}ln^{2}k into k^{2}ln^{2}k, plus broad-box product of universal edge functions.
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Implications for Pulsar Timing Arrays of Sub-solar Black Hole Detections: From LVK to Einstein Telescope and Cosmic Explorer
A Bayesian analysis shows that a future sub-solar PBH detection would make the primordial SIGW interpretation of PTA data favored over the SMBH interpretation, but this preference is driven by the detection prior.
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On the Gauge Invariance of Secondary Gravitational Waves
The paper argues that discarding non-light-speed modes of the second-order tensor perturbation makes the induced gravitational wave energy density gauge-invariant in both adiabatic and isocurvature scenarios.
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Tensor induced gravitational waves
Second-order tensor-induced gravitational waves can shift the inferred parameters of small-scale primordial gravitational wave models fitted to NANOGrav 15-year data, with one model favored by Bayes factors.
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