Abstract
In this paper we wish to find the corresponding Gibbons-Hawking-York term for the most general quadratic in curvature gravity by using Coframe slicing within the Arnowitt-Deser-Misner (ADM) decomposition of spacetime in four dimensions. In order to make sure that the higher derivative gravity is ghost and tachyon free at a perturbative level, one requires infinite covariant derivatives, which yields a generalised covariant infinite derivative theory of gravity. We will be exploring the boundary term for such a covariant infinite derivative theory of gravity.
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Teimouri, A., Talaganis, S., Edholm, J. et al. Generalised boundary terms for higher derivative theories of gravity. J. High Energ. Phys. 2016, 144 (2016). https://doi.org/10.1007/JHEP08(2016)144
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DOI: https://doi.org/10.1007/JHEP08(2016)144