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arXiv · 1611.07496

Einstein gravity with torsion induced by the scalar field

H. T. Özçelik·R. Kaya·M. Hortaçsu
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Abstract

We couple a conformal scalar field in (2+1) dimensions to Einstein gravity with torsion. The field equations are obtained by a variational principle. We could not solve the Einstein and Cartan equations analytically. These equations are solved numerically with 4th order Runge-Kutta method. From the numerical solution, we make an ansatz for the rotation parameter in the proposed metric, which gives an analytical solution for the scalar field for asymptotic regions.

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H. T. Özçelik, R. Kaya, M. Hortaçsu. 2018-05-25. Einstein gravity with torsion induced by the scalar field. https://doi.org/10.1016/j.aop.2018.04.012

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