String-generated gravity models

Physics

Scientific paper

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532

Cosmology, Einstein Equations, Field Theory (Physics), Gravitation Theory, String Theory, Astronomical Models, Asymptotic Properties, Naked Singularities

Scientific paper

Expansion of supersymmetric string theory suggests that the leading quadratic curvature correction to the Einstein action is the Gauss-Bonnet invariant. It is shown that this model has both flat and anti-de Sitter space as solutions, but that the cosmological branch is unstable, because the graviton becomes a ghost there: the theory solves its own cosmological problem. The general static spherically symmetric solution is exhibited; it is asymptotically Schwarzschild. The sign of the Gauss-Bonnet coefficient determines whether there is a normal event horizon (for the string-generated sign) or a naked singularity. The effects of higher-curvature corrections, and an explicit cosmological term on stability, are discussed.

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