We
investigate entanglement creation between modes of a quantum field contained
within a cavity which undergoes noninertial motion. We find that, in the the low acceleration regime, or equivalently in the small
cavity regime, entanglement can be created from initially separable states and
it can be linearly increased by repeating travel scenarios. We are able to fin analytically how all the parameter involved affect the
entanglement. We suggest that this can be of interest when looking for
experimental veriications of predictions within the field of relativistic
quantum information.
