TL;DR
This paper performs a Hamiltonian analysis of non-local gravity theories in both Jordan and Einstein frames, exploring their constraint algebra and implications for ghost identification.
Contribution
It provides the first canonical Hamiltonian formulation of non-local gravity theories in both frames, analyzing their constraint structure and ghost implications.
Findings
Hamiltonian formulation derived for non-local gravity.
Constraint algebra analyzed in both Jordan and Einstein frames.
No clear indication of ghosts from Hamiltonian analysis.
Abstract
This short note is devoted to the canonical analysis of the non-local theories of gravity. We find their Hamiltonian and determine the algebra of constraints. We perform this analysis for non-local theories of gravity formulated both in Jordan and Einstein frame. The result of our analysis suggests that Hamiltonian formulation does not bring to clear identification of ghosts presence in non-local gravity.
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