| Issue |
EPL
Volume 89, Number 1, January 2010
|
|
|---|---|---|
| Article Number | 19002 | |
| Number of page(s) | 2 | |
| Section | Geophysics, Astronomy and Astrophysics | |
| DOI | https://doi.org/10.1209/0295-5075/89/19002 | |
| Published online | 21 January 2010 | |
A complex-scalar-field model for dark matter
Department of Physics, Drexel University - Philadelphia, PA 19104, USA
Corresponding authors: gerald.h.rosen@drexel.edu gr@geraldrosen.com
Received:
12
November
2009
Accepted:
16
December
2009
As a consequence of the global definition for the cosmological constant Λ, the empirical relation Λ≅ 2.7
(with 
the density of all matter and radiation) implies that a stringent condition must be satisfied by the Lagrangian for the non-baryonic (dominant) component of dark matter. It is shown that this stringent condition is satisfied by a complex-scalar-field Lagrangian with Higgs-type quartic nonlinearity. An exact spatially homogenous solution to the associated nonlinear field equation satisfies the relation Λ≅ 2.7 by having an amplitude and an oscillation frequency of the magnitude m≅ 2.47
10-3 eV. Interestingly enough, the latter cosmological value for m falls in the range of the neutrino masses, suggesting that the complex-scalar cosmological field may interact with neutrinos and possibly impart mass to them via Yukawa couplings.
PACS: 98.80.Jk – Mathematical and relativistic aspects of cosmology / 98.90.+s – Other topics on stellar systems; interstellar medium; galactic and extragalactic objects and systems; the Universe
© EPLA, 2010
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