An alternative cosmological concept of space and matter (Net Charged Universe – NCU) is presented. The concept aims to give an alternative explanation of the phenomena that have forced scientists to assume Dark Energy (DE) and Dark Matter (DM). This means that the DM and DE concepts should be avoided. The basic idea of the NCU is the existence of electrical charge asymmetry in the entire universe bringing about the effects that are currently attributed to DE and DM respectively. Some calculations show the plausibility of the NCU. The calculations were used to estimate the rates of electrical charge asymmetry required by the NCU concept in galactic systems (Xnp_S(r)) as well as extragalactic regions (Xnp_U). These calculations have revealed that the required net charge rates (Xnp_S(r) and Xnp_U) are both of a very small magnitude. This means that the current physical observations do not appear to be able to prove or to disprove the NCU theory explained here. For this reason, the NCU concept can be regarded as possible and plausible – until it can be verified by observations that could possibly rule it out. This is very similar to the current situation regarding the concepts of DM and DE.