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:Annals of physics 2018-06, Vol.393, p.132-144
Main Authors: Özçelik, H.T., Kaya, R., Hortaçsu, M.
Format: Article
Language:English
Subjects:
ANALYTICAL SOLUTION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Coupled to scalar
EINSTEIN FIELD EQUATIONS
GRAVITATION
METRICS
QUANTUM GRAVITY
ROTATION
RUNGE-KUTTA METHOD
SCALAR FIELDS
Solutions with torsion
THREE-DIMENSIONAL CALCULATIONS
TORSION
VARIATIONAL METHODS
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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. •Study of Einstein gravity with torsion nonminimally coupled with a scalar field.•Looking for solutions in (2+1) dimensions.•Obtaining analytical solutions for asymptotic cases with an ansatz.•Results appear consistent with literature.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2018.04.012