Abstract:The field equations of a previous metric nonsymmetric theory of gravitation are considered for the interior of a static spherically symmetric perfect fluid with a view to a study of stellar equilibrium. The equations are put into a form of four first-order differential equations which are ready for numerical integration.
“…The conservation laws associated to the theory were studied by one of us in [3]. Then [4], we have established the equations governing the interior problem of a static spherically symmetric perfect fluid with a view to a study of stelar equilibrium.…”
We prove that a spherically symmetric solution of the field equations of the metric nonsymmetric theory of gravitation developed previously is necessarily static.This is the analogue of the well known Birkhoff theorem in general relativity.
“…The conservation laws associated to the theory were studied by one of us in [3]. Then [4], we have established the equations governing the interior problem of a static spherically symmetric perfect fluid with a view to a study of stelar equilibrium.…”
We prove that a spherically symmetric solution of the field equations of the metric nonsymmetric theory of gravitation developed previously is necessarily static.This is the analogue of the well known Birkhoff theorem in general relativity.
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