Einstein gravity with torsion induced by the scalar field

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...

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Bibliographic Details
Published in:arXiv.org 2018-05
Main Authors: Özçelik, H T, Kaya, R, Hortaçsu, M
Format: Article
Language:English
Subjects:
Exact solutions
Gravitation
Runge-Kutta method
Torsion
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1611.07496