On a soliton-type spacetime defect

Abstract

We review the construction of a particular soliton-type solution of the classical Einstein and matter-field equations. This localized finite-energy static classical solution can be interpreted as a single spacetime defect embedded in Minkowski spacetime and may give rise to several new effects. For a Skyrme-type theory with small enough matter-field energy scale compared to the Planck energy scale and for a sufficiently small defect length scale, the existence of a globally regular solution requires a negative active gravitational mass, so that the defect repels a distant test particle ("antigravity"). There also exist "stealth defects" which have a vanishing asymptotic gravitational mass. These stealth defects are, however, not entirely invisible as they bring about a new type of gravitational lensing.

16 pages; invited talk at the Ninth International Workshop DICE2018: Spacetime - Matter - Quantum Mechanics, Castiglioncello, Tuscany, Italy, September 17-21, 2018; v3: final version to appear in J. Phys. Conf. Ser

References in corpus (5)

• Comparison of spacetime defects which are homeomorphic but not diffeomorphic
• General Relativity with Local Space-time Defects
• Antigravity from a spacetime defect
• Lensing and imaging by a stealth defect of spacetime
• A stealth defect of spacetime

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• Non-relativistic quantum particles interacting with pseudoharmonic-type potential under flux field in a topological defect geometry