Effective Geometry
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.
Cite
@article{arxiv.gr-qc/0302052,
title = {Effective Geometry},
author = {M. Novello and S. E. Perez Bergliaffa},
journal= {arXiv preprint arXiv:gr-qc/0302052},
year = {2009}
}
Comments
13 pages, RevTex4, Contribution to the Proceedings of the Xth Brazilian School of Gravitation and Cosmology, to be published by AIP