Relativity and Cosmology

    

Hamiltonian Approach to Deriving the Gravity Equations for a 3D-Brane Universe

Authors: Ruslan Sharipov

Recently, using the concept of temporal coexistence, some arguments were suggested saying that our universe should be considered as a three-dimensional brane equipped with a Riemannian metric depending on the cosmological time. The Lagrangian approach to this 3D-brane model of the universe shows that the number of gravity equations in this model is less than it follows from Einstein’s equation written in 3D+1 presentation thus making this 3D-brane model a separate non-Einsteinian theory of gravitation. In the present paper we continue the research of this theory developing a Hamiltonian approach to it.

Comments: 21 pages

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[v1] 2023-02-23 20:10:17

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