Holographic Renyi entropy and generalized entropy method

In this paper we use the method of generalized gravitational entropy in [6] to construct the dual bulk geometry for a spherical entangling surface, and calculate the Renyi entropy with the dual bulk gravity theory being either Einstein gravity or Lovelock gravity, this approach being closely related to that in [4]. For a general entangling surface we derive the area law of entanglement entropy. The area law is closely related to the local property of the entangling surface. (C) 2014 The Authors. Published by Elsevier B.V.