Static spherically symmetric vacuum solutions of AeST include two classes of stealth Reissner-Nordstrom black holes with nontrivial secondary scalar and vector hair.
MOND as the weak-field limit of an extended metric theory of gravity
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We show that the Modified Newtonian Dynamics (MOND) regime can be fully recovered as the weak-field limit of a particular theory of gravity formulated in the metric approach. This is possible when Milgrom's acceleration constant is taken as a fundamental quantity which couples to the theory in a very consistent manner. As a consequence, the scale invariance of the gravitational interaction is naturally broken. In this sense, Newtonian gravity is the weak-field limit of general relativity and MOND is the weak-field limit of that particular extended theory of gravity.
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Stealth black holes in Aether Scalar Tensor theory
Static spherically symmetric vacuum solutions of AeST include two classes of stealth Reissner-Nordstrom black holes with nontrivial secondary scalar and vector hair.