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We solve a generalized Klein-Gordon oscillator (KGO) in the presence of a uniform magnetic field including quantum flux under the effects of scalar and vector potentials of Coulomb types in the static cosmic string space-time. We obtain the energy and corresponding eigenfunctions, and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states. Key words: cosmic string, relativistic wave equations, electromagnetic interactions, energy spectrum, wave-functions, Aharonov-Bohm effect. Nous solutionnons l'oscillateur de Klein-Gordon generalise (OKG/KGO), en presence d'un champ magnetique uniforme incluant un flux quantique suivant l'existence de potentiels scalaire et vecteur de type Coulomb dans l'espace-temps d'une corde cosmique statique. Nous obtenons les energies et les fonctions propres correspondantes et analysons un analogue relativiste de l'effet d'Aharonov-Bohm pour des etats lies. [Traduit par la Redaction] Mots-cles : corde cosmique, equation d'onde relativiste, interactions electromagnetiques, spectre d'energie, fonction d'onde, effet d'Aharonov-Bohm., 1. Introduction The relativistic quantum dynamics of spin-0 massive charged particles with electromagnetic field are of current interest in theoretical physics. The electromagnetic interactions are introduced into the Klein-Gordon (KG) [...]

Cosmic strings are linear concentrations of energy that may be formed at phase transitions in the very early universe. At one time they were thought to provide a possible origin for the density inhomogeneities from which galaxies eventually develop, though this idea has been ruled out, primarily by observations of the cosmic microwave background (CMB). Fundamental strings are the supposed building blocks of all matter in superstring theory or its modern version, M-theory. These two concepts were originally very far apart, but recent developments have brought them closer. The 'brane-world' scenario in particular suggests the existence of macroscopic fundamental strings that could well play a role very similar to that of cosmic strings. In this paper, we outline these new developments, and also analyse recent observational evidence, and prospects for the future.

Topological defects arising during phase transitions in condensed matter systems have served as models for defect-cosmic strings formed in the early universe. Studies have provided evidence that a rapid phase transition has led to the formation of a random tangle of defects.