Consistent Spin-Two Coupling and Quadratic Gravitation

Details Consistent Spin-Two Coupling and Quadratic Gravitation Consistent Spin-Two Coupling and Quadratic Gravitation

1995-09-25

arxiv.org/abs/hep-th/9509142v3

Phys.Rev.D53:5583-5596,1996

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX2e with AMS-LaTeX 1.2, epsfig, and rangecite macros, 3 eps figures

Scientific paper

10.1103/PhysRevD.53.5583

A discussion of the field content of quadratic higher-derivative gravitation is presented, together with a new example of a massless spin-two field consistently coupled to gravity. The full quadratic gravity theory is shown to be equivalent to a canonical second-order theory of a massive scalar field, a massive spin-two symmetric tensor field and gravity. The conditions showing that the tensor field describes only spin-two degrees of freedom are derived. A limit of the second-order theory provides a new example of massless spin-two field consistently coupled to gravity. A restricted set of vacua of the second-order theory is also discussed. It is shown that flat-space is the only stable vacuum of this type, and that the spin-two field around flat space is unfortunately always ghost-like.

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