The dark geometry of a null extra dimension. (arXiv:1908.04830v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Sengupta_S/0/1/0/all/0/1">Sandipan Sengupta</a>
We introduce a dynamical formulation of vacuum gravity based on an extra
dimension of vanishing proper length. The most general solution to the field
equations are presented, leading to an emergent Einsteinian theory associated
with a stress-tensor. As an ideal fluid composite, the latter admits a generic
decomposition into a unique scalar resembling a running vacuum energy, pure
radiation and a vector-tensor multiplet exhibiting a bounded equation of state.
As one of the most important phenomenological imports of the null extra
dimension, this multiplet is shown to provide a potential resolution to the
`dark matter’ problem. Based on these nonpropagating geometric fields, we
suggest an explanation of the stability of the galactic halo and of the flat
rotation curves. The proposed theory also predicts the purely axionic and
tensorial fraction of the halo mass density, and is open to experimental tests.
We introduce a dynamical formulation of vacuum gravity based on an extra
dimension of vanishing proper length. The most general solution to the field
equations are presented, leading to an emergent Einsteinian theory associated
with a stress-tensor. As an ideal fluid composite, the latter admits a generic
decomposition into a unique scalar resembling a running vacuum energy, pure
radiation and a vector-tensor multiplet exhibiting a bounded equation of state.
As one of the most important phenomenological imports of the null extra
dimension, this multiplet is shown to provide a potential resolution to the
`dark matter’ problem. Based on these nonpropagating geometric fields, we
suggest an explanation of the stability of the galactic halo and of the flat
rotation curves. The proposed theory also predicts the purely axionic and
tensorial fraction of the halo mass density, and is open to experimental tests.
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