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Polyakov-like approach to the modified gravity and other geometric theories

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arxiv 1912.12713 v2 pith:BLEJMG53 submitted 2019-12-29 gr-qc hep-th

classification gr-qchep-th
keywords gravityprocedureactionactionsbranemodifiedtheoriestheory
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We study the procedure that allows to rewrite the actions of some modified gravity theories like mimetic gravity and Regge-Teitelboim embedding theory as Einstein-Hilbert actions with additional matter contributions. It turns out that this procedure can be applied to brane action, which lead to a polynomial brane action. We also examine the connection between this procedure and Polyakov trick in string theory.

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  1. Classification of ten-dimensional embeddings of spherically symmetric static metrics

    gr-qc 2024-11 conditional novelty 6.0 of 10

    The authors enumerate the 52 classes of SO(3)xT1-symmetric embeddings of static spherical metrics into (1,9)-dimensional flat space and assess unfolding and the existence of smooth Minkowski embeddings.

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