Lorentz-violating vs ghost gravitons: the example of Weyl gravity

Details Lorentz-violating vs ghost gravitons: the example of Weyl gravity Lorentz-violating vs ghost gravitons: the example of Weyl gravity

2012-02-14

arxiv.org/abs/1202.3131v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 3 figures, REVTeX 4.1

Scientific paper

We show that the ghost degrees of freedom of Einstein gravity with a Weyl term can be eliminated by a simple mechanism that invokes local Lorentz symmetry breaking. We demonstrate how the mechanism works in a cosmological setting. The presence of the Weyl term forces a redefinition of the quantum vacuum state of the tensor perturbations. As a consequence the amplitude of their spectrum blows up when the Lorentz-violating scale becomes comparable to the Hubble radius. Such a behaviour is in sharp contrast to what happens in standard Weyl gravity where the gravitational ghosts smoothly damp out the spectrum of primordial gravitational waves.

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