TL;DR
This paper performs a canonical analysis of Eddington gravity using Faddeev-Jackiw formalism, demonstrating its Hamiltonian equivalence to General Relativity by showing their canonical actions are identical.
Contribution
It provides the first canonical formalism comparison between Eddington gravity and General Relativity, establishing their equivalence in Hamiltonian form.
Findings
Canonical action of Eddington gravity matches that of General Relativity.
Eddington gravity is shown to be equivalent to General Relativity in Hamiltonian formalism.
Abstract
In this short note we perform canonical analysis of Eddington gravity using L. Faddeev and Jackiw formalism. We demonstrate that resulting canonical action has the same form as General Relativity canonical action which proves an equivalence of Eddington gravity and General Relativity in Hamiltonian formalism.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Cosmology and Gravitation Theories