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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