Equipartition of energy in gravitating systems

Abstract

We explore on the one hand, whether the well-known theorem of equipartition of energy also applies to physical systems in which gravity plays a non-negligible role, as is the case of cosmological horizons and, on the other hand, if the holographic principle holds for these systems. Furthermore, we find a direct connection between the partition function of the gravitating system and the metric of the gravitational field.