Gravitomagnetic Instabilities of Relativistic Magnetohydrodynamics

  title={Gravitomagnetic Instabilities of Relativistic Magnetohydrodynamics},
  author={Hyerim Noh and Jai-chan Hwang},
  journal={The Astrophysical Journal},
We study gravitomagnetic instabilities of a static homogeneous medium with an aligned magnetic field in the two contexts of relativistic magnetohydrodynamics (MHD): first, MHD with post-Newtonian (PN) corrections, and second, special relativistic (SR) MHD with weak gravity. The analysis in the PN MHD is made without taking the temporal gauge condition, thus results are gauge-invariant. The PN corrections of the internal energy, pressure, sound velocity, and the Alfvén velocity lower the… 
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