Reconstruction of 5D cosmological models from the equation of state of dark energy

摘要

We consider a class of five-dimensional cosmological solutions which contain two arbitrary function mu(t) and nu(t). We find that the arbitrary function mu(t) contained in the solutions can be rewritten in terms of the redshift z as a new arbitrary function f(z). We further show that this new arbitrary function f(z) can be solved for four known parameterized equations of state of dark energy. Then 5D models can be reconstructed and the evolution of the density and deceleration parameters of the universe can be determined.