Towards singularity and ghost free theories of gravity

Abstract

We present the most general covariant ghost-free gravitational action in a Minkowski vacuum. Apart from the much studied f(R) models, this includes a large class of non-local actions with improved UV behavior, which nevertheless recover Einstein's general relativity in the IR.

4 pages; redundancies in action eliminated; references added and a few minor typos corrected

References in corpus (4)

• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Ghost Constraints on Modified Gravity
• Newton's constant in f(R,R_{μν}R^{μν},\Box R) theories of gravity and constraints from BBN
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• Junction conditions in infinite derivative gravity
• RG Flow and Thermodynamics of Causal Horizons in Higher-Derivative AdS Gravity
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• Towards UV Finiteness of Infinite Derivative Theories of Gravity and Field Theories
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• Spherical collapse of small masses in the ghost-free gravity
• Modified Starobinsky inflation by the $R\ln \left(\square \right)R$ term
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• Nonlocal scalar field in an external potential: WKB approximation
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• On the Standard Model Mass Spectrum and Interactions In the Holomorphic Unified Field Theory
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• Quantum gravity with purely virtual particles from asymptotically local quantum field theory
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• Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative $U(1)$ gauge theory
• A novel nonlocal spin-1/2 theory: classical and quantum aspects
• Kerr-Schild perturbations in higher derivative gravity theories in $D$ dimensions
• The stability of the de-Sitter universe in nonlocal gravity
• Hawking area law in quantum gravity
• Cosmology of fractional gravity
• De Sitter Cores from Nonlocal Quantum Field Theories
• Causality Constraint on Noncritical Einstein-Weyl Gravity
• Towards a gauge theory of frames
• A Covariant Curvature-History Field Formulation for State-Dependent Infinite-Derivative Gravity
• A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics
• The Energy Dependence of Micro Black Hole Horizon in Quantum Gravity Theory
• Magnetogenesis in non-local models during inflation
• Unitarity in Infinite Derivative Theories
• Tree-level scattering amplitudes in nonlocal field theories
• One-dimension quantum systems in the framework of the most general deformation GUP form
• New effective theories of gravitation and their phenomenological consequences
• Renormalisable Non-local Quark-Gluon Interaction: Mass Gap, Chiral Symmetry Breaking & Scale Invariance
• Novel formulation of Hamilton-Jacobi equation for higher derivative theory and quantum mechanical correspondence
• Quantum nature of gravity in a Bose-Einstein condensate