Gravitons in a Casimir box

A bstract The partition function of gravitons with Casimir-type boundary conditions is worked out. simplest box that allows one to achieve full analytical control consists a slab geometry two infinite parallel planes separated by distance d . In this setting, linearized gravity, like electromagnetism, equivalent free massless scalar fields, Dirichlet and Neumann conditions, which in turn may be combined into single periodic on an interval length 2 When turning chemical potential for suitably adapted spin angular momentum, the modular covariant expressed terms Eisenstein series. It coincides photons. At high temperature, result provides closed form all sub-leading finite-size corrections standard (gravitational) black body result. More interesting low-temperature/small expansion where leading contribution linear inverse temperature given Casimir energy system, whereas entropy proportional area originates from propagating plates.