Gravity of a noncanonical global monopole: conical topology and compactification

• Published in: arXiv.org 2016-10
• Main Authors: Prasetyo, Ilham, Ramadhan, Handhika S
• Format: Article
• Language: English
• Subjects: Astronomical models; Black holes; Channels; Cosmological constant; Einstein equations; Gravitation; Gravitational fields; Monopoles; Quantum theory; Topology
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1508.02118

We obtain solutions of Einstein's equations describing gravitational field outside a noncanonical global monopole with cosmological constant. In particular, we consider two models of k-monopoles: the Dirac-Born-Infeld (DBI) and the power-law types, and study their corresponding exterior gravitational fields. For each model we found two types of solutions. The first of which are global k-monopole black hole with conical global topology. These are generalizations of the Barriola-Vilenkin solution of global monopole. The appearance of noncanonical kinetic terms does not modify the critical symmetry-breaking scale, \(\eta_{crit}\), but it does affect the corresponding horizon(s). The second type of solution is compactification, whose topology is a product of two \(2\)-dimensional spaces with constant curvatures; \({\mathcal Y}_4\rightarrow {\mathcal Z}_2\times S^2\), with \({\mathcal Y}, {\mathcal Z}\) can be de Sitter, Minkowski, or Anti-de Sitter, and \(S^2\) is the \(2\)-sphere. We investigate all possible compactifications and show that the nonlinearity of kinetic terms opens up new channels which are otherwise non-existent. For \(\Lambda=0\) four-dimensional geometry, we conjecture that these compactification channels are their (possible) non-static super-critical states, right before they undergo topological inflation.