Scattering cross section and stability of global monopoles

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Author(s):	Pitelli, J. P. M. ; Barroso, V. S. ; Richartz, Mauricio Total Authors: 3
Document type:	Journal article
Source:	PHYSICAL REVIEW D; v. 96, n. 10, p. 6-pg., 2017-11-27.
Abstract
We study the scattering of scalar waves propagating on the global monopole background. Since the scalar wave operator in this topological defect is not essentially self-adjoint, its solutions are not uniquely determined until a boundary condition at the origin is specified. As we show, this boundary condition manifests itself in the differential cross section and can be inferred by measuring the amplitude of the backscattered wave. We further demonstrate that whether or not the spacetime is stable under scalar perturbations also depends on the chosen boundary condition. In particular, we identify a class of such boundary conditions that significantly affects the differential cross section without introducing an instability. (AU)

FAPESP's process:	13/09357-9 - Physics and geometry of spacetime
Grantee:	Alberto Vazquez Saa
Support Opportunities:	Research Projects - Thematic Grants


FAPESP's process:	16/07057-6 - Applications of the theory of self-adjoint extensions in Quantum Gravity
Grantee:	João Paulo Pitelli Manoel
Support Opportunities:	Regular Research Grants


FAPESP's process:	16/08862-0 - Quantum field theory in curved spaces and quantum singularities
Grantee:	Vitor Barroso Silveira
Support Opportunities:	Scholarships in Brazil - Scientific Initiation