A new global embedding approach to study Hawking and Unruh effects for higher-dimensional rotation black holes

Abstract

First, we effectively reduce the higher-dimensional rotation metric to a 2-dimensional metric near the event horizon which contains only the (t-r) sector. Then, we study the Unruh/Hawking temperature for (1+1)-dimensional space-time with the new global embedding method. It is shown that the viewpoint of Banerjee and Majhi is correct. We also extend the study to the case of higher-dimensional rotation black hole.