Recent content by chirag1

  1. chirag1

    A Numerical evolution of Einstein-Boltzmann equations in cosmology

    Yes. I don't know much of the physical meaning of them myself yet, but I'll try to explain what I know. ##\Theta_{r,0}## is the monopole radiation term. ##\Theta_{r,1}## is the dipole radiation term. ##\delta## is the dark matter density perturbation and ##v## is the bulk velocity...
  2. chirag1

    A Numerical evolution of Einstein-Boltzmann equations in cosmology

    I'm trying to numerically evolve the Einstein-Boltzmann equations for cold dark matter perturbations using Runge-Kutta method of the fourth order. There are 5 standard equations: $$ \begin{align} \dot{\Theta}_{r,0}+k\Theta_{r,1}&=-\dot{\Phi} \\ \dot{\Theta}_{r,1}+\frac{k}{3}\Theta_{r,0} &...
  3. chirag1

    A Two degrees of freedom in GR after boundary conditions specified?

    I don't understand how these 6 coefficients are equivalent in terms of making the metric Minkowski at a point. Also, I couldn't understand how did you get the numbers? Can you please show the calculations for the number of coefficients and the number of first derivatives of the 10 components of...
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