We find that, for a very specific shape of a monolayer graphene sample, a general relativistic-like description of a back-ground spacetime for graphene's conductivity electrons is very natural. The corresponding electronic local density of states is of finite temperature.
This is a Hawking-Unruh effect that we propose to detect through an experiment with a Scanning Tunneling Microscope. (C) 2012 Elsevier B.V. All rights reserved.