Nonlinear Evolution of Disturbances in a (1+1)-Dimensional Universe

Abstract

General exact solution is obtained for the problem of the development of arbitrary disturbances of the density and velocity in a (1+1)-dimensional universe. This analytical solution may serve, particularly, as a test for numerical methods. For an illustration, the nonlinear distortion of a sinusoidal perturbation of the initial density is calculated.

3 pages

Cited by in corpus (1)

• Initial conditions for cosmological N-body simulations of the scalar sector of theories of Newtonian, Relativistic and Modified Gravity