A Weyl-geometry vector field yields a four-dimensional generalized-Proca Gauss-Bonnet theory whose black holes carry two independent primary-hair constants, one of which becomes an effective cosmological constant after a disformal transformation.
Symmetric wormholes in Einstein-vector-Gauss-Bonnet theory
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abstract
We construct wormholes in Einstein-vector-Gauss-Bonnet theory where a real massless vector field is coupled to the higher curvature Gauss-Bonnet invariant. We consider three coupling functions which depend on the square of the vector field. The respective domains of existence of wormholes possess as their boundaries i) black holes, ii) solutions with a singular throat, iii) solutions with a degenerate throat and iv) solutions with cusp singularities. Depending on the coupling function wormhole solutions can feature a single throat or an equator surrounded by a double throat. The wormhole solutions need a thin shell of matter at the throat, in order to be symmetrically continued into the second asymptotically flat region. These wormhole spacetimes allow for bound and unbound particle motion as well as light rings.
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gr-qc 1years
2025 1verdicts
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Proca theory of four-dimensional regularized Gauss-Bonnet gravity and black holes with primary hair
A Weyl-geometry vector field yields a four-dimensional generalized-Proca Gauss-Bonnet theory whose black holes carry two independent primary-hair constants, one of which becomes an effective cosmological constant after a disformal transformation.