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General Relativity \`a la string: a progress report

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arxiv 1612.05256 v1 pith:UUGPD5CD submitted 2016-12-15 hep-th gr-qc

classification hep-thgr-qc
keywords stringcanonicaldimensionalformalismgeneralrelativityanalogyapproach
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Preliminary results on a canonical formulation of general relativity based on an analogy with the string model of elementary particles are presented. Rather than the metric components, the basic fields of the formalism are taken to be the functions describing the embedding of four dimensional spacetime in a ten or possibly higher dimensional manifold. So far, the main drawback of the formalism is that the generator of normal deformations ("fourth constraint") cannot be written down in closed form. The present approach is compared and contrasted with the usual one and with the canonical description of the relativistic string.

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    Planck and low-redshift data constrain the Stern-Xu Regge-Teitelboim extra acceleration component to Ω_RT < 0.006 at 95% confidence, making the model observationally indistinguishable from ΛCDM.

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