Generalized ghost-free quadratic curvature gravity

By Tirthabir Biswas, Aindri'u Conroy, A. Koshelev, Anupam Mazumdar. 2013

204 citations recorded by the source corpus.

In this paper we study the most general covariant action of gravity up to terms that are quadratic in curvature. In particular this includes non-local, infinite derivative theories of gravity which are ghost-free and exhibit asymptotic freedom in the ultraviolet. We provide a detailed algorithm for deriving the equations of motion for such actions containing an arbitrary number of the covariant D’Alembertian operators, and this is our main result. We also perform a number of tests on the field equations we derive, including checking the Bianchi identities and the weak-field limit. Lastly, we consider the special subclass of ghost and asymptotically free theories of gravity by way of an example.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8567a7376ce7132cb0e3da71d5741996013e4f8b

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Citations in the corpus

Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity (2014, background): “The classical equations of motion have been studied for the above action [47], and shown to be free from black-hole type of singularities for ‘small’ central masses.”
Notes on nonsingular models of black holes (2016, unknown): “[7] Tirthabir Biswas, Aindriú Conroy, Alexey S.”
Occurrence of exact R2 inflation in non-local UV-complete gravity (2016, background): “This fact at the background level was explicitly verified in [25, 51].”