Dynamical structure of pure Lovelock gravity

Naresh Dadhich, Remigiusz Durka, Nelson Merino, Olivera Miskovic

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31 Scopus citations


We study the dynamical structure of pure Lovelock gravity in spacetime dimensions higher than four using the Hamiltonian formalism. The action consists of a cosmological constant and a single higher-order polynomial in the Riemann tensor. Similarly to the Einstein-Hilbert action, it possesses a unique constant curvature vacuum and charged black hole solutions. We analyze physical degrees of freedom and local symmetries in this theory. In contrast to the Einstein-Hilbert case, the number of degrees of freedom depends on the background and can vary from zero to the maximal value carried by the Lovelock theory.

Original languageEnglish
Article number064009
JournalPhysical Review D
Issue number6
StatePublished - 4 Mar 2016


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