Instabilities in tensorial nonlocal gravity

Abstract

We discuss the cosmological implications of nonlocal modifications of general relativity containing tensorial structures. Assuming the presence of standard radiation- and matter-dominated eras, we show that, except in very particular cases, the nonlocal terms contribute a rapidly growing energy density. These models therefore generically do not have a stable cosmological evolution.

10 pages, 2 figures. v2: version published in PRD

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• Multifractional theories: an updated review
• Quantum Gravity inspired nonlocal gravity model
• Observational Constraints in Nonlocal Gravity: the Deser-Woodard Case
• On nonlocally interacting metrics, and a simple proposal for cosmic acceleration
• Newtonian approximation and possible time-varying $G$ in nonlocal gravities
• Structure formation in the new Deser-Woodard nonlocal gravity model
• Scalar-tensor nonlocal gravity
• Hamiltonian Formalism for Nonlocal Gravity Models
• Electrovacuum solutions in non-local gravity
• On the impact of non-local gravity on compact stars
• On the occurrence of gauge-dependent secularities in nonlinear gravitational waves