Kavli Affiliate: Anthony Lasenby
| First 5 Authors: Yi-Hsiung Hsu, Anthony Lasenby, Will Barker, Amel Durakovic, Michael Hobson
| Summary:
Spherically symmetric Einstein-{ae}ther (E{AE}) theory with a Maxwell-like
kinetic term is revisited. We consider a general choice of the metric and the
ae{}ther field, finding that:~(i) there is a gauge freedom allowing one always
to use a diagonal metric; and~(ii) the nature of the Maxwell equation forces
the ae{}ther field to be time-like in the coordinate basis. We derive the
vacuum solution and confirm that the innermost stable circular orbit (ISCO) and
photon ring are enlarged relative to general relativity (GR). Buchdahl’s
theorem in EAE{} theory is derived. For a uniform physical density, we find
that the upper bound on compactness is always lower than in GR. Additionally,
we observe that the Newtonian and EAE{} radial acceleration relations run
parallel in the low pressure limit. Our analysis of EAE{} theory may offer
novel insights into its interesting phenomenological generalization:
AE{}ther–scalar–tensor theory ({AE}ST).
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