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- W3104052635 abstract "We construct solutions of higher-dimensional Einstein gravity coupled to nonlinear $$sigma $$ -model with cosmological constant. The $$sigma $$ -model can be perceived as exterior configuration of a spontaneously-broken $$SO(D-1)$$ global higher-codimensional “monopole”. Here we allow the kinetic term of the $$sigma $$ -model to be noncanonical; in particular we specifically study a quadratic-power-law type. This is some possible higher-dimensional generalization of the Bariola–Vilenkin (BV) solutions with k-global monopole studied recently. The solutions can be perceived as the exterior solution of a black hole swallowing up noncanonical global defects. Even in the absence of comological constant its surrounding spacetime is asymptotically non-flat; it suffers from deficit solid angle. We discuss the corresponding horizons. For $$Lambda >0$$ in 4d there can exist three extremal conditions (the cold, ultracold, and Nariai black holes), while in higher-than-four dimensions the extremal black hole is only Nariai. For $$Lambda <0$$ we only have black hole solutions with one horizon, save for the 4d case where there can exist two horizons. We give constraints on the mass and the symmetry-breaking scale for the existence of all the extremal cases. In addition, we also obtain factorized solutions, whose topology is the direct product of two-dimensional spaces of constant curvature ( $$M_2$$ , $$dS_2$$ , or $$AdS_2$$ ) with (D-2)-sphere. We study all possible factorized channels." @default.
- W3104052635 created "2020-11-23" @default.
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- W3104052635 date "2017-08-09" @default.
- W3104052635 modified "2023-10-16" @default.
- W3104052635 title "Classical defects in higher-dimensional Einstein gravity coupled to nonlinear $$sigma $$ σ -models" @default.
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- W3104052635 doi "https://doi.org/10.1007/s10714-017-2278-8" @default.
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