Proca Q Tubes and their Coupling to Gravity
arXiv:1611.01803 · doi:10.1103/PhysRevD.95.044027
Abstract
The Einstein-Proca system is studied in the case of a complex vector-field self-interacting through an appropriate potential with a global U(1) symmetry. The corresponding equations for a static, cylindrically symmetric metric and matter fields are then constructed and solved. In the probe limit (no gravity), it is shown that the equations admit at least two classes of regular solutions distinguished by the asymptotic behavior of the matter fields. One of these classes corresponds to lumps of vector fields localized in a cylindrical region, we naturally call these solutions "Proca-Q-tubes". They constitute the cylindrical counterparts of spherical Proca-Q-balls constructed recently, they can be characterized by finite mass and charge per unit-length of the tube. The domain of existence of these Proca-Q-tubes with respect to the coupling constants determining the potential is studied in detail. Finally, the gravitating Proca-Q-tubes are constructed and studied.
Revised version: discussions expanded and references added. Note also some sign changes wrt previous version; to appear on Phys. Rev. D; 15 pages
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Cited by in corpus (5)
- Vector boson star solutions with a quartic order self-interaction
- Proca Q Balls and their Coupling to Gravity
- Treatments and placebos for the pathologies of effective field theories
- Proca tubes with the flux of the longitudinal chromoelectric field and the energy flux/momentum density
- The intrinsic pathology of self-interacting vector fields