"On the Degrees of Freedom Count on Singular Phase Space Submanifolds" by Alexey Golovnev
 

On the Degrees of Freedom Count on Singular Phase Space Submanifolds

Document Type

Article

Publication Date

8-2024

Abstract

I discuss singular loci in the phase spaces of theories which lack globally well-defined numbers of dynamical modes. This is a topic which appears quite often in the recent literature on modified gravity. In particular, there were discussions about R2 gravity around Minkowski space. It is a relatively simple case, and still there were some confusions. It clearly shows that one should be very accurate when trying to understand a potentially problematic theory through perturbations around a simply looking background. At the same time, many modern teleparallel approaches are laden with even more severe issues. Therefore, it is a topic which is certainly worth carefully thinking about.

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