We find a near detailed balance solution to the relativistic Boltzmann
    equation under the relaxation time approximation with a collision term which
    differs from the Anderson-Witting model and is dependent on the stationary
    observer. Using this new solution, we construct an explicit covariant transport
    equation for the particle flux in response to the generalized temperature and
    chemical potential gradients in generic stationary spacetimes, with the
    transport tensors characterized by some integral functions in the chemical
    potential and the relativistic coldness. To illustrate the application of the
    transport equation we study probe systems in Rindler and Kerr spacetimes and
    analyze the asymptotic properties of the gravito-conductivity tensor in the
    near horizon limit.

    Source link


    Leave A Reply