Braneworld Remarks in Riemann-Cartan Manifolds - General Relativity and Quantum CosmologyReportar como inadecuado




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Abstract: We analyze the projected effective Einstein equation in a 4-dimensionalarbitrary manifold embedded in a 5-dimensional Riemann-Cartan manifold. TheIsrael-Darmois matching conditions are investigated, in the context where thetorsion discontinuity is orthogonal to the brane. Unexpectedly, the presence oftorsion terms in the connection does not modify such conditions whatsoever,despite of the modification in the extrinsic curvature and in the connection.Then, by imposing the Z 2-symmetry, the Einstein equation obtained viaGauss-Codazzi formalism is extended, in order to now encompass the torsionterms. We also show that the factors involving contorsion change drasticallythe effective Einstein equation on the brane, as well as the effectivecosmological constant.



Autor: J. M. Hoff da Silva, Roldao da Rocha

Fuente: https://arxiv.org/







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