Tensor spectrum of turbulence-sourced gravitational waves as a constraint on graviton mass

Abstract

We consider a generic dispersive massive gravity theory and numerically study its resulting modified energy and strain spectra of tensor 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 spatial and temporal Fourier domains. We find, from the spatial spectra, that the slope modifications are weakly dependent on the eddy size at QCDPT, and, from the temporal spectra, that the modifications are pronounced in the $1$--$10\mathrm{nHz}$ range -- the sensitivity range of the North American Nanohertz Observatory for Gravitational Waves (NANOGrav) -- for a graviton mass $m_{\mathrm{g}}$ in the range $2\times 10^{-23}\mathrm{eV}\lesssim m_{\mathrm{g}}{c}^2\lesssim 7\times 10^{-22}\mathrm{eV}$.

arXiv comment15 pages, 3 figures, 2 tables, comments welcome

References in corpus (35)

• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Resummation of Massive Gravity
• Tests of general relativity with GW150914
• Generalization of the Fierz-Pauli Action
• Massive Gravity
• Prospects for Fundamental Physics with LISA
• Large-scale magnetic fields from hydromagnetic turbulence in the very early universe
• Primordial Magnetic Fields and Causality
• Testing modified gravity at cosmological distances with LISA standard sirens
• Constraining Lorentz-violating, Modified Dispersion Relations with Gravitational Waves
• Graviton Mass Bounds
• The Pencil Code, a modular MPI code for partial differential equations and particles: multipurpose and multiuser-maintained
• Bounding the mass of the graviton using binary pulsar observations
• Numerical Simulations of Gravitational Waves from Early-Universe Turbulence
• The Cosmic Microwave Background and Helical Magnetic Fields: the tensor mode
• Evolution of hydromagnetic turbulence from the electroweak phase transition
• Minimal theory of massive gravity
• Phenomenology in minimal theory of massive gravity
• Can we observe the QCD phase transition-generated gravitational waves through pulsar timing arrays?
• Finite-Range Gravity and Its Role in Gravitational Waves, Black Holes and Cosmology
• Limit on graviton mass from galaxy cluster Abell 1689
• Gravitational wave echoes from black holes in massive gravity
• Blue-tilted Primordial Gravitational Waves from Massive Gravity
• Circular Polarization of Gravitational Waves from Early-Universe Helical Turbulence
• Polarization states of gravitational waves with a massive graviton
• Cosmic Expansion in Extended Quasidilaton Massive Gravity
• Gravitational waves in massive gravity theories: waveforms, fluxes and constraints from extreme-mass-ratio mergers
• Constraints from the Time Lag between Gravitational Waves and Gamma Rays: Implications of GW 170817 and GRB 170817A
• Relic gravitational waves from the chiral magnetic effect
• The timestep constraint in solving the gravitational wave equations sourced by hydromagnetic turbulence
• Gravitational-wave polarizations in generic linear massive gravity and generic higher-curvature gravity
• Simulating relic gravitational waves from inflationary magnetogenesis
• The turbulent stress spectrum in the inertial and subinertial ranges
• Modified gravity as a diagravitational medium
• Diluting Cosmological Constant via Large Distance Modification of Gravity

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• The scalar, vector, and tensor modes in gravitational wave turbulence simulations
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