Entropy bounds for charged and rotating systems

It was shown in a previous work that, for systems in which the entropy is an extensive function of the energy and volume, the Bekenstein and the holographic entropy bounds predict new results. In this paper, we go further and derive improved upper bounds to the entropy of extensive charged and rotating systems. Furthermore, it is shown that for charged and rotating systems (including non-extensive ones), the total energy that appears in both the Bekenstein entropy bound (BEB) and the causal entropy bound (CEB) can be replaced by the internal energy of the system. In addition, we propose possible corrections to the BEB and the CEB.