New application of the Killing vector field formalism: modified periodic potential and two-level profiles of the axionic dark matter distribution

Balakin, Alexander B.; Groshev, Dmitry E.

doi:10.1140/epjc/s10052-020-7717-0

Cited by 12 publications

(18 citation statements)

References 62 publications

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“…We assume that both: the pseudoscalars φ and Φ * are dimensionless, and Φ * describes a vacuum averaged value of the axion field. This idea was motivated and used, e.g., in [55][56][57][58][59]). Based on this idea we consider now the following unified invariant I (U) nonlinear in the pseudoscalar field:…”

Section: Modified Einstein-maxwell-aether-axion Modelmentioning

confidence: 99%

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Towards nonlinear axion-dilaton electrodynamics: How can axionic dark matter mimic dilaton-photon interactions?

Balakin,

Galimova

2021

Preprint

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In the framework of the Einstein-Maxwell-axion-aether theory we establish the model, the Lagrangian of which contains the sin-type generalization of the term describing the axion-photon coupling, and the axionically induced cosine-type modification of the term attributed to the dilatonphoton interactions. The extension of the axion-dilaton-aether electrodynamics is inspired by the Jackson's idea concerning the internal symmetry of the equations of electromagnetism. The application of the extended theory to the anisotropic homogeneous cosmological model of the Bianchi-I type is considered. The exact solutions to the model evolutionary equations are obtained for the case, when the axionic dark matter is in the state of equilibrium, which is characterized by vanishing potential of the pseudoscalar field and its first derivative. The state of the axion-photon system, which is of a new type and is indicated as a dynamic equilibrium, is studied in the framework of electrodynamics with axionic non-linearity. We show that the nonlinear axion-photon interactions can mimic the dilaton-photon coupling. We discuss the stability of the model with respect to homogeneous fluctuations of the axion field.

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Section: Modified Einstein-maxwell-aether-axion Modelmentioning

confidence: 99%

“…The potential of the axion field inherits the discrete symmetry, which in our terms can be indicated as 2πφ Φ * → 2πφ Φ * + 2πn; therefore, we can use the modified periodic potential in the form (see, e.g., [55][56][57][58][59]):…”

Section: B the Modified Periodic Potential Of The Axion Fieldmentioning

confidence: 99%

Towards nonlinear axion-dilaton electrodynamics: How can axionic dark matter mimic dilaton-photon interactions?

Balakin,

Galimova

2021

Preprint

Self Cite

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“…In the works [32,33] these invariants were constructed using the covariant derivative of the velocity four-vector, associated with the dynamic aether flow. In the papers [57,58] we have used the moduli of the Killing vectors as auxiliary invariants, the arguments of the guiding function * . Now we develop this idea and assume that the guiding function * can depend on the spinor field via the following four invariants (two scalars and two pseudoscalars):…”

Section: The Structure Of the Potential Of The Axion Fieldmentioning

confidence: 99%

Interaction of the axionic dark matter, dynamic aether, spinor and gravity fields as an origin of oscillations of the fermion effective mass

Balakin

Efremova

2021

Eur. Phys. J. C

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In the framework of the Einstein–Dirac-axion-aether theory we consider the quartet of self-interacting cosmic fields, which includes the dynamic aether, presented by the unit timelike vector field, the axionic dark mater, described by the pseudoscalar field, the spinor field associated with fermion particles, and the gravity field. The key, associated with the mechanism of self-interaction, is installed into the modified periodic potential of the pseudoscalar (axion) field constructed on the base of a guiding function, which depends on one invariant, one pseudo-invariant and two cross-invariants containing the spinor and vector fields. The total system of the field equations related to the isotropic homogeneous cosmological model is solved; we have found the exact solutions for the guiding function for three cases: nonzero, vanishing and critical values of the cosmological constant. Based on these solutions, we obtained the expressions for the effective mass of spinor particles, interacting with the axionic dark matter and dynamic aether. This effective mass is shown to bear imprints of the cosmological epoch and of the state of the cosmic dark fluid in that epoch.

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“…In the works [31,32] these invariants were constructed using the covariant derivative of the velocity four-vector, associated with the dynamic aether flow. In the papers [56,57] we have used the moduli of the Killing vectors as auxiliary invariants, the arguments of the guiding function Φ * . Now we develop this idea and assume that the guiding function Φ * can depend on the spinor field via the following four invariants (two scalars and two pseudoscalars):…”

Section: B the Structure Of The Potential Of The Axion Fieldmentioning

confidence: 99%

Interaction of the axionic dark matter, dynamic aether, spinor and gravity fields as an origin of oscillations of the fermion effective mass

Balakin,

Efremova

2021

Preprint

Self Cite

View full text Add to dashboard Cite

In the framework of the Einstein-Dirac-axion-aether theory we consider the quartet of selfinteracting cosmic fields, which includes the dynamic aether, presented by the unit timelike vector field, the axionic dark mater, described by the pseudoscalar field, the spinor field associated with fermion particles, and the gravity field. The key, associated with the mechanism of self-interaction, is installed into the modified periodic potential of the pseudoscalar (axion) field constructed on the base of a guiding function, which depends on one invariant, one pseudo-invariant and two crossinvariants containing the spinor and vector fields. The total system of master equations related to the isotropic homogeneous cosmological model is solved; we have found the exact solutions for the guiding function for three cases: nonzero, vanishing and critical values of the cosmological constant. Based on these solutions, we obtained the expressions for the effective mass of spinor particles, interacting with the axionic dark matter and dynamic aether. This effective mass is shown to bear imprints of the cosmological epoch and of the state of the cosmic dark fluid in that epoch.

show abstract

New application of the Killing vector field formalism: modified periodic potential and two-level profiles of the axionic dark matter distribution

Cited by 12 publications

References 62 publications

Towards nonlinear axion-dilaton electrodynamics: How can axionic dark matter mimic dilaton-photon interactions?

Towards nonlinear axion-dilaton electrodynamics: How can axionic dark matter mimic dilaton-photon interactions?

Interaction of the axionic dark matter, dynamic aether, spinor and gravity fields as an origin of oscillations of the fermion effective mass

Interaction of the axionic dark matter, dynamic aether, spinor and gravity fields as an origin of oscillations of the fermion effective mass

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