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Radially symmetric scalar solitons

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 نشر من قبل John Morris
 تاريخ النشر 2021
  مجال البحث فيزياء
والبحث باللغة English
 تأليف J.R. Morris




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A class of noncanonical effective potentials is introduced allowing stable, radially symmetric, solutions to first order Bogomolnyi equations for a real scalar field in a fixed spacetime background. This class of effective potentials generalizes those found previously by Bazeia, Menezes, and Menezes [Phys.Rev.Lett. 91 (2003) 241601] for radially symmetric defects in a flat spacetime. Use is made of the on-shell method introduced by Atmaja and Ramadhan [Phys.Rev.D 90 (2014) 10, 105009] of reducing the second order equation of motion to a first order one, along with a constraint equation. This method and class of potentials admits radially symmetric, stable solutions for four dimensional static, radially symmetric spacetimes. Stability against radial fluctuations is established with a modified version of Derricks theorem, along with demonstrating that the radial stress vanishes. Several examples of scalar field configurations are given.



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