Spectrum of turbulence-sourced gravitational waves as a constraint on graviton mass. (arXiv:2104.03192v1 [gr-qc])

<a href="http://arxiv.org/find/gr-qc/1/au:+He_Y/0/1/0/all/0/1">Yutong He</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Brandenburg_A/0/1/0/all/0/1">Axel Brandenburg</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Sinha_A/0/1/0/all/0/1">Aditya Sinha</a>

We consider a generic dispersive massive gravity theory and numerically study

its resulting modified energy and strain spectra of gravitational waves (GWs)

sourced by (i) fully developed turbulence during the electroweak phase

transition (EWPT); and (ii) forced hydromagnetic turbulence during the QCD

phase transition (QCDPT). The GW spectra are then computed in both the spatial

and temporal Fourier domains. We find, from the spatial spectra, that the slope

modifications are independent of the eddy size at QCDPT, and, from the temporal

spectra, that the modifications are pronounced in the nHz-10nHz range — the

sensitivity range of the North American Nanohertz Observatory for Gravitational

Waves (NANOGrav) — for a graviton mass $m_{rm g}$ in the range

$2.2times10^{-23}{rm eV}/c^2lesssim m_{rm g}lesssim7.4times10^{-22}{rm

eV}/c^2$.

We consider a generic dispersive massive gravity theory and numerically study

its resulting modified energy and strain spectra of gravitational waves (GWs)

sourced by (i) fully developed turbulence during the electroweak phase

transition (EWPT); and (ii) forced hydromagnetic turbulence during the QCD

phase transition (QCDPT). The GW spectra are then computed in both the spatial

and temporal Fourier domains. We find, from the spatial spectra, that the slope

modifications are independent of the eddy size at QCDPT, and, from the temporal

spectra, that the modifications are pronounced in the nHz-10nHz range — the

sensitivity range of the North American Nanohertz Observatory for Gravitational

Waves (NANOGrav) — for a graviton mass $m_{rm g}$ in the range

$2.2times10^{-23}{rm eV}/c^2lesssim m_{rm g}lesssim7.4times10^{-22}{rm

eV}/c^2$.

http://arxiv.org/icons/sfx.gif