TL;DR
This paper investigates the entropic force in static spherically symmetric spacetimes with unusual asymptotics, focusing on charged dilaton black holes and the influence of the dilaton parameter, using holographic screens and Verlinde's approach.
Contribution
It introduces a detailed calculation of entropic force in dilaton black hole spacetimes and analyzes the impact of the dilaton parameter, extending previous holographic screen methods.
Findings
Entropic force depends on the dilaton parameter.
Three holographic screen candidates are effectively employed.
Graphical analysis shows the dilaton's influence on force magnitude.
Abstract
We show in detail that the entropic force of the static spherically symmetric spacetimes with unusual asymptotics can be calculated through the Verlinde's arguments. We introduce three different holographic screen candidates, which are first employed thoroughly by Myung and Kim [Phys. Rev. D 81, 105012 (2010)] for Schwarzschild black hole solutions, in order to identify the entropic force arising between a charged dilaton black hole and a test particle. The significance of the dilaton parameter on the entropic force is highlighted, and shown graphically.
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