Generalized ghost-free quadratic curvature gravity

Biswas, Tirthabir and Conroy, Aindriú and S. Koshelev, Alexey and Mazumdar, Anupam (2014) Generalized ghost-free quadratic curvature gravity. Classical and Quantum Gravity, 31 (15). ISSN 0264-9381

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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.

Item Type:
Journal Article
Journal or Publication Title:
Classical and Quantum Gravity
Additional Information:
22 pages. Revised argument in section 3.1. Results unchanged
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Deposited On:
01 Sep 2014 08:41
Last Modified:
22 Nov 2022 01:04