Abstract
Pseudo‐complex General Relativity (pc‐GR) is an algebraic extension of the standard theory of gravitation that relies on pseudo‐complex spacetime coordinates and corresponds to the introduction of two, in general different, metrics which are connected through specific conditions. The pseudo‐complex formalism has an extra contribution, when compared to the Einstein equations, which represent classical spacetime oscillations, with a repulsive character, that has been associated to quantum vacuum fluctuations of the universe (dark energy). This dark energy is relevant only when intense gravitational fields are present. Therefore, neutron stars are an interesting environment to test predictions of pc‐GR. Since all neutron stars rotate, it follows that a complete account of the implications of pc‐GR for compact stars should include rotation effects. In this work, we analyze through monopole corrections the impact of the pseudo‐complex formalism in slow‐rotating relativistic neutron stars.
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