Existence of oscillating solutions of Einstein ${SU}(2)$ Yang-Mills equations

• Autores: Alexander N. Linden
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 11, 2007, págs. 5125-5139
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-03402-2
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• Resumen

  • We give a rigorous proof that for small positive values of the cosmological constant the Einstein equations coupled to an SU(2) Yang-Mills connection yield oscillating spacetimes. These are static, spherically symmetric spacetimes that have the same topology as particle-like spacetimes but differ in geometry. We also give a strict upper bound on values of the cosmological constant that admit such spacetimes