Relativity and Cosmology

    

Lagrangian Approach to Deriving the Gravity Equations for a 3D-brane Universe

Authors: Ruslan Sharipov

Recently 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. These arguments are based on the concept of temporal coexistence applied to events in the four-dimensional spacetime. Relying on the three-dimensional brane presentation of our universe, the four-dimensional Einstein’s gravity equations were rewritten as three-dimensional time-evolution equations for the three-dimensional metric presenting the gravitational field in the framework of this three-dimensional brane model. In the present paper some of these time-evolution equations for the three-dimensional metric are rederived using the Lagrangian approach.

Comments: 12 Pages.

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Submission history

[v1] 2023-01-05 02:49:16
[v2] 2023-02-21 18:04:38

Unique-IP document downloads: 225 times

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