1509.01699
General relativity and cosmic structure formation
Adamek, Daverio, Durrer, Kunz
Cosmo sims assume Newton's law of gravitation: assumptions that (1) gravitational fields are weak and (2) they are only sourced by non-relativistic matter. While the former appears well justified on cosmological scales, the latter imposes restrictions on the nature of the "dark" components of the Universe (dark matter and dark energy). Present the first simulations of cosmic structure formation using equations consistently derived from GR. Study in detail the small relativistic effects for a standard LCDM cosmology which cannot be obtained within a purely Newtonian framework. The particle-mesh N-body code computes all 6 degrees of freedom of the metric and consistently solves the geodesic equation for particles, taking into account the relativistic potentials and the frame-dragging force. This conceptually clean approach is very general and can be applied to various settings where the Newtonian approximation fails or becomes inaccurate, ranging from simulations of models with dynamical DE or warm/hot dark matter to core collapse SN explosions.
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