The exact analytical solution of the linear structure growth rate in LCDM cosmology and its cosmological applications

Understand

We derive the exact analytical solution of the linear structure growth rate in LCDM cosmology with flat or curved geometry, under the Newtonian gauge.

• Unlike the well known solution under the Newtonian limit (Heath 1977), our solution takes all general relativistic corrections into account and is hence valid at both the sub- and super-horizon scales.
• With this exact solution, we evaluate cosmological impacts induced by these relativistic corrections.
• (1) General relativistic corrections alter the density growth from z=100 to z=0 by 10% at k=0.01h/Mpc and the impact becomes stronger toward larger scales.