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Abstract: We explore the hypothesis that the set of symmetries enjoyed by the theorythat describes gravity is not the full group of diffeomorphisms DiffM, as inGeneral Relativity, but a maximal subgroup of it, TransverseDiffM, with itselements having a jacobian equal to unity; at the infinitesimal level, theparameter describing the coordinate change, xi^mu x, is transverse, i.e.,partial muxi^mu=0. Incidentally, this is the smaller symmetry one needs topropagate consistently a graviton, which is a great theoretical motivation forconsidering these theories. Also, the determinant of the metric, g, behaves asa -transverse scalar-, so that these theories can be seen as a generalizationof the better-known unimodular gravity. We present our results on theobservational constraints on transverse gravity, in close relation with theclaim of equivalence with general scalar-tensor theory. We also comment on thestructure of the divergences of the quantum theory to the one-loop order.



Autor: J.J. Lopez-Villarejo

Fuente: https://arxiv.org/



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