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Aether scalar tensor theory: Hamiltonian Formalism

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arxiv 2307.15126 v3 pith:PYPSOTBD submitted 2023-07-27 gr-qc hep-th

Marianthi Bataki , Constantinos Skordis , Tom Zlosnik This is my paper · ORCID
classification gr-qchep-th
keywords theoryaestaetherclassconstraintsfourgeneralhamiltonian
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abstract

The Aether Scalar Tensor (AeST) theory is an extension of General Relativity (GR), proposed for addressing galactic and cosmological observations without dark matter. By casting the AeST theory into a $3+1$ form, we determine its full non-perturbative Hamiltonian formulation and analyse the resulting constraints. We find the presence of four first class and four second class constraints and show that the theory has six physical degrees of freedom at the fully nonlinear level. Our results set the basis for determining the propagation of perturbations on general backgrounds and we present the case of small perturbations around Minkowski spacetime as an example stemming from our analysis.

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  1. Stealth black holes in Aether Scalar Tensor theory

    gr-qc 2024-12 conditional novelty 7.0 of 10

    Static spherically symmetric vacuum solutions of AeST include two classes of stealth Reissner-Nordstrom black holes with nontrivial secondary scalar and vector hair.

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