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.
Polyakov-like approach to the modified gravity and other geometric theories
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abstract
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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gr-qc 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
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Classification of ten-dimensional embeddings of spherically symmetric static metrics
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.