Effective Geometry

TL;DR

This paper introduces the concept of effective geometry in physical systems, demonstrating how a flowing dielectric medium can create an analog black hole with properties similar to real black holes, potentially influencing Hawking radiation.

Contribution

It presents a novel application of effective geometry to a flowing dielectric medium, showing how it can mimic black hole properties and affect surface gravity and Hawking radiation.

Findings

Flowing dielectric medium can generate an analog black hole.

Analog black hole surface gravity depends on dielectric properties.

Potential new mechanism to increase Hawking radiation temperature.

Abstract

We introduce the concept of effective geometry by studying several systems in which it arises naturally. As an example of the power and conciseness of the method, it is shown that a flowing dielectric medium with a linear response to an external electric field can be used to generate an analog geometry that has many of the formal properties of a \Sch black hole for light rays, in spite of birefringence. The surface gravity of this analog black hole has a contribution that depends only on the dielectric properties of the fluid (in addition to the usual term dependent on the acceleration). This term may be give a hint to a new mechanism to increase the temperature of Hawking radiation.