http://arxiv.org/abs/2305.07742
One of the aims of Aether Scalar Tensor Theory (AeST) is to reproduce the successes of Modified Newtonian Dynamics (MOND) on galactic scales. Indeed, the quasi-static limit of AeST can achieve precisely this, assuming that the vector field $\vec{A}$ vanishes. However, this assumption of a vanishing vector field is often inconsistent. Here, we show how to correctly take into account the vector field and find that the quasi-static limit depends on a model parameter $m_\times$. In the limit $m_\times \to 0$, one recovers the quasi-static limit with a vanishing vector field. In particular, one finds a two-field version of MOND. In the opposite limit, $m_\times \to \infty$, one finds a single-field version of MOND. We show that, in practice, much of the phenomenology of the quasi-static limit depends only very little on the value of $m_\times$. Still, for some observational tests, such as those involving wide binaries, $m_\times$ has percent-level effects that may be important.
T. Mistele
Tue, 16 May 23
80/83
Comments: 24 pages, 4 figures