Entropic force, holography and thermodynamics for static space-times

TL;DR

This paper explores the application of entropic gravity concepts to various static space-times, analyzing holographic screens, temperature, and energy, revealing that the temperature reaches zero at wormhole throats regardless of the specific solution.

Contribution

It extends Verlinde's entropic gravity framework to diverse static space-times, including black holes and wormholes, providing new insights into holographic thermodynamics in these geometries.

Findings

Unruh-Verlinde temperature reaches zero at wormhole throats.

Holographic screens encode gravitational information in static space-times.

Temperature behavior is independent of wormhole shape function.

Abstract

Recently Verlinde has suggested a new approach to gravity which interprets gravitational interaction as a kind of entropic force. The new approach uses the holographic principle by stating that the information is kept on the holographic screens which coincide with equipotential surfaces. Motivated by this new interpretation of gravity (but not being limited by it) we study equipotential surfaces, the Unruh-Verlinde temperature, energy and acceleration for various static space-times: generic spherically symmetric solutions, axially symmetric black holes immersed in a magnetic field, traversable spherically symmetric wormholes of an arbitrary shape function, system of two and more extremely charged black holes in equilibrium. In particular, we have shown that the Unruh-Verlinde temperature of the holographic screen reaches absolute zero on the wormhole throat independently of the particular form of the wormhole solution.