Generalized Gravity and a Ghost

Abstract

We show that generalized gravity theories involving the curvature invariants of the Ricci tensor and the Riemann tensor as well as the Ricci scalar are equivalent to multi- scalar-tensor gravities with four derivatives terms. By expanding the action around a vacuum spacetime, the action is reduced to that of the Einstein gravity with four derivative terms, and consequently there appears a massive spin-2 ghost in such generalized gravity theories in addition to a massive spin-0 field.

8 pages, a reference added

References in corpus (7)

• Is Cosmic Speed-Up Due to New Gravitational Physics?
• 1/R gravity and Scalar-Tensor Gravity
• Inconsistency of interacting, multi-graviton theories
• Palatini form of 1/R gravity
• Consistent Spin-Two Coupling and Quadratic Gravitation
• Non-Trivial Vacua in Higher-Derivative Gravitation
• Exact Relation between Einstein and Quadratic Quantum Gravity

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