On Newtonian singularities in higher derivative gravity models

  • Leonardo Modesto
  • Tibério de Paula Netto
  • Ilya L. Shapiro
Open Access
Regular Article - Theoretical Physics


We consider the problem of Newtonian singularity in the wide class of higher derivative gravity models, including the ones which are renormalizable and super-renormalizable at the quantum level. The simplest version of the singularity-free theory has four derivatives and is pretty well-known. We argue that in all cases of local higher-derivative theories, when the poles of the propagator are real and simple, the singularities disappear due to the cancelation of contributions from scalar and tensor massive modes.


Models of Quantum Gravity Classical Theories of Gravity 


Open Access

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Leonardo Modesto
    • 1
  • Tibério de Paula Netto
    • 2
    • 3
  • Ilya L. Shapiro
    • 3
    • 4
    • 5
  1. 1.Department of Physics & Center for Field Theory and Particle PhysicsFudan UniversityShanghaiChina
  2. 2.Department of PhysicsUniversity of AlbertaEdmontonCanada
  3. 3.Departamento de Fisica — ICEUniversidade Federal de Juiz de ForaJuiz de ForaBrazil
  4. 4.Département de Physique Théorique and Center for Astroparticle PhysicsUniversité de GenèveGenéve 4Switzerland
  5. 5.Tomsk State Pedagogical University, Tomsk State UniversityTomskRussia

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