2013
DOI: 10.1103/physrevd.88.083536
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Analytic description of the damping of gravitational waves by free streaming neutrinos

Abstract: We provide an analytic solution to the general wavelength integro-differential equation describing the damping of tensor modes of gravitational waves due to free streaming neutrinos in the early universe. Our result is expressed as a series of spherical Bessel functions whose coefficients are functions of the reduced wave number Q.

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Cited by 39 publications
(44 citation statements)
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“…Now, it is a well established result that transverse gravitational waves are not absorbed by non-collisional massive media [30][31][32][33]. Damping is indeed only possible in the presence of viscosity [10,34,35], or when a medium of massless particles is considered [36][37][38]). Then, having in mind that the presence of longitudinal modes could imply the gravitational analog of Landau damping, we adopt a kinetic theory approach and we analyze the interaction of scalar waves with a collisionless particle distribution.…”
Section: Introductionmentioning
confidence: 99%
“…Now, it is a well established result that transverse gravitational waves are not absorbed by non-collisional massive media [30][31][32][33]. Damping is indeed only possible in the presence of viscosity [10,34,35], or when a medium of massless particles is considered [36][37][38]). Then, having in mind that the presence of longitudinal modes could imply the gravitational analog of Landau damping, we adopt a kinetic theory approach and we analyze the interaction of scalar waves with a collisionless particle distribution.…”
Section: Introductionmentioning
confidence: 99%
“…Detailed studies of the effects of the SM neutrinos on the tensor modes (the B-and E-modes) of the CMB were performed in [44,45], which found an O(10)% damping of the correlation functions of the tensor modes at long wavelengths, rising to an O(35)% damping at short wavelengths. Analytic results for the damping were subsequently obtained in [59,60]. The corrections to the spectrum that arise from the presence of a free streaming DR component were considered in [61].…”
Section: Distinguishing Between Free and Scattering Dr Via Tensor mentioning
confidence: 99%
“…Expressions for χ SM (y dec ) and χ 0 (y dec ) at small Q were obtained in [60], Here y dec is the value of y at photon decoupling, given by y dec = 3.31. Note that the regime of validity of these expansions is limited to small Q, and they are expected to break down at Q ∼ 1.…”
Section: Distinguishing Between Free and Scattering Dr Via Tensor mentioning
confidence: 99%
“…This result is valid only if the collision frequency in the matter 1 is much greater than the frequency of the GW. A well-known effect given by decoupled relativistic neutrinos on the CMB angular power-spectrum is the damping due to their anisotropic stress of the amplitude of the GW spectrum by 35% [30] (see also [31][32][33][34][35][36]). Such a damping becomes quite large in the frequency region between 10 −16 Hz and 10 −10 Hz [30][31][32][33][34][35][36].…”
Section: Introductionmentioning
confidence: 99%