Eur. Phys. J. Plus (2014) 129: 197
https://doi.org/10.1140/epjp/i2014-14197-8

Regular Article

Thermodynamical features of Verlinde’s approach for a non-commutative Schwarzschild-anti-deSitter black hole in a broad range of scales

Department of Physics, College of Basic Sciences, Lahijan Branch, Islamic Azad University, P. O. Box 1616, Lahijan, Iran

^* e-mail: mehdipour@liau.ac.ir

Received: 7 June 2014
Revised: 28 July 2014
Accepted: 16 August 2014
Published online: 23 September 2014

Abstract

We try to study the thermodynamical features of a non-commutative inspired Schwarzschild-anti-de Sitter black hole in the context of the entropic gravity model, particularly for the model that is employed in a broad range of scales, from the short distances to the large distances. At small length scales, the Newtonian force fails because one finds a linear relation between the entropic force and the distance. In addition, there are some deviations from the standard Newtonian gravity at large length scales.