The global monopole spacetime and its topological charge

Abstract

In this paper, we show that the global monopole spacetime is one of the exact solutions of Einstein equations by means of the method treating the matter field as a non-linear sigma model, without the weak field approximation applied in the original derivation by Barriola and Vilenkin in 1989. Furthermore, we find the physical origin of the topological charge in the global monopole spacetime. Finally, we generalize the proposal which generates spacetime from thermodynamical laws to the case that spacetime with global monopole charge.

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Cited by in corpus (11)

• Global Monopole in Palatini f(R) gravity
• Gravitational field of global monopole within the Eddington-inspired Born-Infeld theory of gravity
• Nonlinear $\sigma$-models in the Eddington-inspired Born-Infeld Gravity
• A Review of Stable, Traversable Wormholes in f (R) Gravity Theories
• Calculating the Hawking Temperatures of Conventional Black Holes in the f(R) Gravity Models with the RVB Method
• Extensions of the generalized hedgehog ansatz for the Einstein-nonlinear $\sigma$-model system: black holes with NUT, black strings and time-dependent solutions
• Gravitational lensing in holonomy corrected spherically symmetric black holes with phantom global monopoles
• Thermodynamics of Graviton Condensate
• Non perturbative spherical gravitational waves
• Calculating the Hawking Temperatures of Kerr-Newman Black Holes in the f(R) Gravity Models with the RVB Method
• Spinning test particles in the spacetime of a global monopole