Europhys. Lett.
Volume 71, Number 6, September 2005
Page(s) 925 - 931
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 10 August 2005
Europhys. Lett., 71 (6), pp. 925-931 (2005)
DOI: 10.1209/epl/i2005-10164-5

Electromagnetic waves with negative phase velocity in Schwarzschild-de Sitter spacetime

T. G. Mackay1, A. Lakhtakia2 and S. Setiawan1

1  School of Mathematics, University of Edinburgh - Edinburgh EH9 3JZ, UK
2  Department of Engineering Science and Mechanics Pennsylvania State University - University Park, PA 16802-6812, USA

received 17 March 2005; accepted in final form 9 July 2005
published online 10 August 2005

The propagation of electromagnetic plane waves with negative phase velocity (NPV) is considered in Schwarzschild-(anti-)de Sitter spacetime. It is demonstrated that NPV propagation occurs in Schwarzschild-de Sitter spacetime at lower values of the cosmological constant than is the case for de Sitter spacetime. Furthermore, we report that neither is NPV propagation observed in Schwarzschild-anti-de Sitter spacetime, nor is it possible outside the event horizon of a Schwarzschild black hole.

41.20.Jb - Electromagnetic wave propagation; radiowave propagation.
04.40.Nr - Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields.
98.80.-k - Cosmology.

© EDP Sciences 2005