Journal of High Energy Physics

, 2018:44 | Cite as

Ghost-free infinite derivative gravity

  • Brage GordingEmail author
  • Angnis Schmidt-May
Open Access
Regular Article - Theoretical Physics


We present the construction of a gravitational action including an infinite series of higher derivative terms. The outcome is a classically consistent completion of a well-studied quadratic curvature theory. The closed form for the full action is ghost-free bimetric theory, describing the interactions of a massive and a massless spin-2 field. At energies much smaller than the spin-2 mass scale, the theory reduces to general relativity. For energies comparable to the spin-2 mass, the higher derivative terms completing the Einstein-Hilbert action capture the effects of the additional massive spin-2 field. The theory is only ghost-free when the full series of higher derivatives is kept.


Classical Theories of Gravity Models of Quantum Gravity 


Open Access

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Max-Planck-Institut für Physik (Werner-Heisenberg-Institut)MunichGermany

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