The large D limit of dimensionally continued gravity

TL;DR

This paper explores a unique large D limit of dimensionally continued gravity where black holes maintain their interactions and entropy scales, contrasting with previous models where objects behave as non-interacting particles.

Contribution

It introduces a novel large D limit for dimensionally continued gravity that preserves black hole interactions and entropy scaling, differing from prior large D gravity limits.

Findings

Black holes retain interactions at large D

Black hole entropy remains proportional to mass

Distinct from non-interacting particle limit

Abstract

In a recent paper [arXiv:1302.6382] Emparan, Suzuki, and Tanabe 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 non-interacting 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 [arXiv:1302.6382] are discussed.