Scalar-Torsion Theories in Four Dimensional Static Spacetimes
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Abstract
In this paper, we consider a class of static spacetimes scalar-torsion theories in four dimensioanal static spacetimes with the scalar potential turned on. We discover that the 2-dimensional submanifold must admit constant triplet structures, one of which is the torsion scalar. This indicates that these equations of motion can be reduced to a single highly non-linear ordinary differential equation known as the master equation. Then, we show that there are no exact solution of the scalar-torsion theory in four dimensions considering the Sinh-Gordon potential.
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How to Cite
., M., Akbar, F., & Gunara, B. (2021). Scalar-Torsion Theories in Four Dimensional Static Spacetimes. Indonesian Journal of Physics, 32(2), 12-15. https://doi.org/10.5614/itb.ijp.2021.32.2.3
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References
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[5] R. Ferraro and F. Fiorini, Spherically symmetric static spacetimes in vacuum f(T) gravity, Phys. Rev. D 84 (2011) 083518 [arXiv:1109.4209 [gr-qc]].
[6] H. Abedi and S. Capozziello, Gravitational waves in modified teleparallel theories of gravity, Eur. Phys. J. C 78 (2018) 474.
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