New representation of the nonlocal ghost-free gravity theory

Abstract

A new representation is found for the action of the recently suggested ghost-free nonlocal gravity models generating de Sitter or Anti-de Sitter background with an arbitrary value of the effective cosmological constant. This representation allows one to extend applications of these models from maximally symmetric to generic Einstein spaces and black hole solutions, but clearly indicates violation of the general relativistic limit in this class of theories, induced by their infrared behavior. It is shown that this limit can be recovered in a special conformal frame of these theories, and their relation to critical gravity models is also briefly discussed.

11 pages, 1 figure, LaTeX, references are added, discussion of the Euclidean version of the Schwinger-Keldysh formalism is extended

References in corpus (8)

• Critical Gravity in Four Dimensions
• Critical Points of D-Dimensional Extended Gravities
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