The Huygens principle and cosmological gravitational waves in the Regge-Wheeler gauge

Details The Huygens principle and cosmological gravitational waves in the Regge-Wheeler gauge The Huygens principle and cosmological gravitational waves in the Regge-Wheeler gauge

2005-04-22

arxiv.org/abs/gr-qc/0504110v2

Class.Quant.Grav. 22 (2005) 3549-3554

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages

Scientific paper

10.1088/0264-9381/22/17/013

We study the propagation of axial gravitational waves in Friedman universes. The evolution equation is obtained in the Regge-Wheeler gauge. The gravitational waves obey the Huygens principle in the radiation dominated era, but in the matter dominated universe their propagation depends on their wavelengths, with the scale fixed essentially by the Hubble radius. Short waves practically satisfy the Huygens principle while long waves can backscatter off the curvature of a spacetime.

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