Effective Geometry

Details Effective Geometry Effective Geometry

2003-02-13

arxiv.org/abs/gr-qc/0302052v1

AIP Conf.Proc. 668 (2003) 288-300

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, RevTex4, Contribution to the Proceedings of the Xth Brazilian School of Gravitation and Cosmology, to be published b

Scientific paper

10.1063/1.1587103

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.

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