## Electromagnetic Weibel instability in a fully relativistic bi-Maxwellian plasma

Detailed properties of the classical electromagnetic Weibel instability in a relativistic unmagnetized plasma are investigated for a fully relativistic bi-Maxwellian distribution. In particular, exact analytical expressions for the range of unstable wavenumbers, conditions for the instability, and the growth rate of the unstable mode for weak anisotropy are derived. The analysis shows that relativistic effects tend to stabilize the Weibel instability.