2020
DOI: 10.1088/1475-7516/2020/04/051
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Geometric dark matter

Abstract: The dark matter, needed for various phenomena ranging from flat rotation curves to structure formation, seems to be not only neutral and long-living but also highly secluded from the ordinary matter. Here we show that, metric-affine gravity, which involves metric tensor and affine connection as two independent fields, dynamically reduces, in its minimal form, to the usual gravity plus a massive vector field. The vector Y µ , which interacts with only the quarks, leptons and gravity, is neutral and long-living … Show more

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Cited by 15 publications
(10 citation statements)
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References 81 publications
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“…Refs. [22,58], it could be argued that the Palatini formulation is much simpler than the metric formulation, because there is no need to add a boundary term to the action, as it involves only first derivatives of the variables that are to be varied over. For this reason, the Palatini formalism is also sometimes called the "first order formalism", whereas the metric formulation is dubbed as the "second order formalism".…”
Section: )mentioning
confidence: 99%
“…Refs. [22,58], it could be argued that the Palatini formulation is much simpler than the metric formulation, because there is no need to add a boundary term to the action, as it involves only first derivatives of the variables that are to be varied over. For this reason, the Palatini formalism is also sometimes called the "first order formalism", whereas the metric formulation is dubbed as the "second order formalism".…”
Section: )mentioning
confidence: 99%
“…The second Ricci tensor cannot be involved in the purely metric theories of gravity since it vanishes once the connection is metric compatible (Levi-Civita) from the beginning. Otherwise, this skew-symmetric part can enter the gravitational action but in the Palatini formulation where also an independent connection is introduced, and in this case the resulting theories may resemble that of a vector field [27]. In contrast, the present setup does not stand on the Palatini formulation.…”
Section: Discussionmentioning
confidence: 87%
“…The main difference however relies on the constraint (34) for the vector density J µ which does not vanish in this case. This clearly affects the dynamics of the affine connection which cannot take the form (27). Therefore, we conclude that the interaction between the scalar fields and the second Ricci tensor does not only bring new effects at the level of the equations of motion, but also plays an important role in the solution of the dynamical equation for the connection.…”
Section: B General Nonminimal Coupling Dynamicsmentioning
confidence: 85%
“…in which R μν ( ) is the Ricci curvature of the affine connection λ μν , which is completely independent of the curved metric g μν and its Levi-Civita connection [105][106][107]. This map is analogue of the map M 2 V → φ † φ of the vector boson mass M V (Poincare conserving) into the Higgs field φ.…”
Section: Symmergent Gravitymentioning
confidence: 99%