TY - JOUR

T1 - Classical defects in higher-dimensional Einstein gravity coupled to nonlinear σ -models

AU - Prasetyo, Ilham

AU - Ramadhan, Handhika Satrio

PY - 2017/9/1

Y1 - 2017/9/1

N2 - We construct solutions of higher-dimensional Einstein gravity coupled to nonlinear σ-model with cosmological constant. The σ-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 σ-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 Λ > 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 Λ < 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 (M2, dS2, or AdS2) with (D-2)-sphere. We study all possible factorized channels.

AB - We construct solutions of higher-dimensional Einstein gravity coupled to nonlinear σ-model with cosmological constant. The σ-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 σ-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 Λ > 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 Λ < 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 (M2, dS2, or AdS2) with (D-2)-sphere. We study all possible factorized channels.

KW - Black hole

KW - Deficit angle

KW - Global defects

UR - http://www.scopus.com/inward/record.url?scp=85027417294&partnerID=8YFLogxK

U2 - 10.1007/s10714-017-2278-8

DO - 10.1007/s10714-017-2278-8

M3 - Article

AN - SCOPUS:85027417294

VL - 49

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

SN - 0001-7701

IS - 9

M1 - 115

ER -