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- W2050411518 abstract "Inflation leads us to expect a spectrum of gravitational waves (tensor perturbations) extending to wavelengths much bigger than the present observable horizon. Although these gravity waves are not directly observable, the energy density that they contribute grows in importance during the radiation- and dust-dominated ages of the universe. We show that the back reaction of tensor perturbations during matter domination is limited from above, since gravitational waves of wavelength $lambda$ have a share of the total energy density $Delta rho(lambda)/rho$ during matter domination that is at most equal to the share of the total energy density that they had when the mode $lambda$ exited the Hubble radius $H^{-1}$ during inflation. This work is to be contrasted to that of Sahni, who analyzed the energy density of gravity waves only insofar as their wavelengths are smaller than $H^{-1}$. Such a cut-off in the spectral energy of gravity waves leads to the breakdown of energy conservation, and we show that this anomaly is eliminated simply by taking into account the energy density and pressure of long wavelength gravitational waves as well as short wavelength ones." @default.
- W2050411518 created "2016-06-24" @default.
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- W2050411518 date "1999-08-09" @default.
- W2050411518 modified "2023-09-24" @default.
- W2050411518 title "Energy density and pressure of long wavelength gravitational waves" @default.
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- W2050411518 doi "https://doi.org/10.1103/physrevd.60.064004" @default.
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