Absence of solid angle deficit singularities in beyond-generalized Proca theories

Lavinia Heisenberg, Ryotaro Kase, Shinji Tsujikawa

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


In Gleyzes-Langlois-Piazza-Vernizzi (GLPV) scalar-tensor theories, which are outside the domain of second-order Horndeski theories, it is known that there exists a solid angle deficit singularity in the case where the parameter αH characterizing the deviation from Horndeski theories approaches a non-vanishing constant at the center of a spherically symmetric body. Meanwhile, it was recently shown that second-order generalized Proca theories with a massive vector field Aμ can be consistently extended to beyond-generalized Proca theories, which recover shift-symmetric GLPV theories in the scalar limit Aμ ⇒ ΔX. In beyond-generalized Proca theories up to quartic-order Lagrangians, we show that solid angle deficit singularities are generally absent due to the existence of a temporal vector component. We also derive the vector-field profiles around a compact object and show that the success of the Vainshtein mechanism operated by vector Galileons is not prevented by new interactions in beyond generalized Proca theories.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalPhysical Review D
Issue number12
Publication statusPublished - 2016
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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