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The sound speed of the relativistic free electron gas is derived and investigated. We examine the non-relativistic and ultra-relativistic limits. It is shown from first principles that the sound speed is lower than the velocity of light divided by 3. The question is open as whether taking into account positrons and photons in thermodynamic equilibrium with electrons, including other particles, or describing different fundamental forces can modify this result.
G. Faussurier (Mon,) studied this question.
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