Thermal gravitational radiation of Fermi gases and Fermi liquids

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Scientific paper

In view of neutron stars the gravitational radiation power of the thermal "zero-sound" phonons of a Fermi liquid and the gravitational bremsstrahlung of a degenerate Fermi gas is calculated on the basis of a hard-sphere Fermi particle model. We find for the gravitational radiation power per unit volume P(s)~=[(9π)135]GQn53(kT)4ℏ2c5 and P(g)~=(4553)(3π)23 Ga2n53(kT)4ℏ2c5 for the cases of "zero sound" and bremsstrahlung, respectively. Here Q=4πa2 is the total cross section of the hard-sphere fermions, where a represents the radius of their hard-core potential. The application to very young neutron stars results in a total gravitational luminosity of about 1031 erg/sec.

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