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Stability problem for the Einstein-Vlasov system

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  • UserMahir Hadzic (MIT)
  • ClockWednesday 19 June 2013, 11:40-12:30
  • HouseMR12.

If you have a question about this talk, please contact HoD Secretary, DPMMS.

In the first part of the talk I will introduce the Einstein-Vlasov system and survey some of the known mathematical results for this non-linear coupled system of equations. I will then formulate the question of nonlinear stability/instability of steady state galaxies and present a coercivity result for the second variation of the ADM -mass. As a consequence, we obtain the linear stability assuming that the central red-shift of the steady state galaxy is suitably small. This is consistent with the numerical observations of Zeldovitch from 1970’s, that additionally suggest an instability when the central red-shift is large. This is joint work with G. Rein.

This talk is part of the Conference on Mathematical Topics in Kinetic Theory series.

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