Large $D$ limit of dimensionally continued gravity

In a recent paper Emparan et al. [arXiv:1302.6382] studied general relativity in the limit in which the number of spacetime dimensions $D$ tends to infinity. They showed that, in such limit, the theory simplifies notably. It reduces to a theory whose fundamental objects, black holes and black branes, behave as noninteracting particles. Here, we consider a different way of extending gravity to $D$ dimensions. We present a special limit of dimensionally continued gravity in which black holes retain their gravitational interaction at large $D$ and still have entropy proportional to the mass. The similarities and differences with the limit considered in Emparan et al. [arXiv:1302.6382] are discussed.