What is it about?
A useful set of variables are introduced in order to describe gravity, both in general relativity and in scalar-tensor theories. A Hamiltonian formalism for general relativity has been worked out in these variables. For scalar-tensor gravitational theories, an unambiguous gauge choice has been developed, which closely resembles the corresponding gauge choice of general relativity.
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Why is it important?
The paper generalises a previous description, which turned unsuitable to describe the even (polar) modes of the perturbations of static, spherically symmetric black holes. The introduced variables have nice geometrical meaning. With this formalism the full sector of the perturbations of static, spherically symmetric black holes can be discussed in scalar-tensor gravitational theories.
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This page is a summary of: Gravitational dynamics in a
2+1+1
decomposed spacetime along nonorthogonal double foliations: Hamiltonian evolution and gauge fixing, May 2019, American Physical Society (APS),
DOI: 10.1103/physrevd.99.104071.
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