El comportamiento de Mond en el sistema solar
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M. Milgrom y J.Bekenstein crearon en 1983 una propuesta alternativa a la hipótesis de la materia oscura, para dar solución al problema de las curvas de rotación galácticas. La formulación alternativa, que se ha denominado MOND (Dinámica Modificada de Newton), se estructuró teóricamente con una versión relativista llamada TeVeS (Tensor Vector Escalar), la cual introdujo tres campos: uno de carácter tensorial, otro vectorial y uno de naturaleza escalar. ésta pretende ser una teoría gravitacional que obtenga los mismos aciertos que la Teoría de la Relatividad. Se analizó cómo la teoría MOND y TeVeS concuerda con fenómenos observados en el Sistema Solar, tales como el problema de los dos cuerpos y el corrimiento del perihelio planetario. Hecho este planteamiento se realizó un análisis del comportamiento de MOND con un potencial modificado en la ecuación de movimiento en un sistema de dos masas. Se desarrolló una descripción de la teoría TeVeS y una de sus antecesoras Teoría de Brans-Dicke, reduciéndolas a una teoría de campo débil, y encontrando el corrimiento del perihelio del planeta Mercurio, el cual para la Teoría de Brans-Dicke, supera al correspondiente de la Relatividad General por un valor de [Fórmula matématica] y para TeVeS el valor adicional es del orden de [Fórmula matématica]
Abstract. M. Milgrom and J.Bekenstein created in 1983 as an alternative to the hypothesis of dark matter proposed to solve the problem of galactic rotation curves . The alternative formulation, which has been called MOND (Modified Newtonian Dynamics), was structured theory with a relativistic version called TeVeS ( Tensor Vector Scalar) , which introduced three fields: one of tensorial character , one vector and one scalar nature . This is intended as a gravitational theory for the same successes that the Theory of Relativity. We analyzed how MOND and TeVeS theory is consistent with phenomena observed in the solar system, such as the problem of two bodies and the shifting of the planetary perihelion. Made this approach an analysis of the behavior of MOND with a modified equation of motion in a two- mass potential is realized. A description of the TeVeS theory and one of its predecessors Brans-Dicke theory, reducing them to a theory of weak field was developed, and finding the shift of the perihelion of Mercury, which for the Brans-Dicke theory, exceeds the corresponding General Relativity worth [Mathematical Formula] and TeVeS additional value is the order of [Mathematical Formula]
Abstract. M. Milgrom and J.Bekenstein created in 1983 as an alternative to the hypothesis of dark matter proposed to solve the problem of galactic rotation curves . The alternative formulation, which has been called MOND (Modified Newtonian Dynamics), was structured theory with a relativistic version called TeVeS ( Tensor Vector Scalar) , which introduced three fields: one of tensorial character , one vector and one scalar nature . This is intended as a gravitational theory for the same successes that the Theory of Relativity. We analyzed how MOND and TeVeS theory is consistent with phenomena observed in the solar system, such as the problem of two bodies and the shifting of the planetary perihelion. Made this approach an analysis of the behavior of MOND with a modified equation of motion in a two- mass potential is realized. A description of the TeVeS theory and one of its predecessors Brans-Dicke theory, reducing them to a theory of weak field was developed, and finding the shift of the perihelion of Mercury, which for the Brans-Dicke theory, exceeds the corresponding General Relativity worth [Mathematical Formula] and TeVeS additional value is the order of [Mathematical Formula]