Weak equivalence principle from a spontaneously broken gauge theory of gravity |
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Authors: | Eckehard W Mielke |
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Institution: | Departamento de Física, Universidad Autónoma Metropolitana Iztapalapa, Apartado Postal 55-534, C.P. 09340, México, D.F., Mexico |
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Abstract: | Further consequences of a finite topological field theory for gravity based on the SL(5,R) gauge group are reported. After symmetry breaking, it induces four-dimensional Einstein spaces with a cosmological constant related to the tiny scale of the symmetry breaking. It is shown that not only a ‘background’ metric emerges from a Higgs-like mechanism, but also consistently the geodesic equation central to Einstein?s equivalence principle. In next order of the symmetry breaking scale, the induced torsion could even provoke a tiny Lorentz violation. |
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Keywords: | Topological gravity BF scheme Spontaneous symmetry breaking Equivalence principle |
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