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Einstein-Yang-Mills theory with a massive dilaton and axion: String-inspired regular and black hole solutions

Christopher M. O’Neill

  • Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853

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Phys. Rev. D 50, 865 – Published 15 July, 1994

DOI: https://doi.org/10.1103/PhysRevD.50.865

Abstract

We study the classical theory of a non-Abelian gauge field [gauge group SU(2)] coupled to a massive dilaton, massive axion, and Einstein gravity. The theory is inspired by the bosonic part of the low-energy heterotic string action for a general Yang-Mills field, which we consider to leading order after compactification to 3+1 dimensions. We impose the condition that spacetime be static and spherically symmetric, and we introduce masses via a dilaton-axion potential associated with supersymmetry breaking by gaugino condensation in the hidden sector. In the course of describing the possible non-Abelian solutions of the simplified theory, we consider in detail two candidates: a massive dilaton coupled to a purely magnetic Yang-Mills field, and a massive axion field coupled to a non-Abelian dyonic configuration, in which the electric and magnetic fields decay too rapidly to correspond to any global gauge charge. We discuss the feasibility of solutions with and without a nontrivial dilaton for the latter case, and present numerical regular and black hole solutions for the former.

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Phys. Rev. D 50, 865– Published 15 July, 1994
  • Received 8 November 1993

© 1994 American Physical Society

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