INFLUENCIA DEL CAMPO GRAVITATORIO EXTERNO DEL UNIVERSO DE GÖDEL SOBRE EL ESPECTRO ENERGÉTICO DE PARTÍCULAS ESCALARES

INFLUENCIA DEL CAMPO GRAVITATORIO EXTERNO DEL UNIVERSO DE GÖDEL SOBRE EL ESPECTRO ENERGÉTICO DE PARTÍCULAS ESCALARES Aníbal Páuyac Huamán DOI: https://doi.org/10.33017/RevECIPeru2004.0005/ RESUMEN En el campo gravitatorio externo del universo de Gödel con simetría cilíndrica se hallan soluciones exactas de la ecuación del campo escalar y el espectro energético de las partículas escalares correspondientes. Se analizan dos casos. En el primero, las partículas se encuentran bajo la acción solamente del campo gravitatorio externo. En el otro, las partículas interactúan con un campo electromagnético externo, el cual a su vez está dentro del campo gravitatorio externo del universo de Gödel. La solución de la ecuación del campo escalar se expresa mediante los polinomios de Jacobi. El espectro energético de las partículas escalares resulta discreto debido a la rotación del universo. Palabras clave: gravitación, universo de Gödel, espectro energético, campo escalar, campo electromagnético. ABSTRACT In the external gravitational field of the Gödel universe with cylindrical symmetry, exact solutions of the scalar field equation and energy spectrum of the corresponding scalar particles are obtained. First, we considered the scalar particles only in an external gravitational field of the Gödel universe. Then, we considered the particles interacting with an external electromagnetic field, which is at the same time in the external gravitational field of the Gödel universe. The solution of the scalar field equation is obtained in the form of Jacobi polynomials. The energy spectrum of scalar particles proves to be discrete, due to rotation of the universe. Keywords: gravitation, Gödel universe, energy spectrum, scalar field, electromagnetic field.

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