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Scalar-Torsion Theories in Four Dimensional Static Spacetimes Mulyanto .; Fiki Taufik Akbar; Bobby Eka Gunara
Indonesian Journal of Physics Vol 32 No 2 (2021): Vol 32 No 2 (2021)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (176.309 KB) | DOI: 10.5614/itb.ijp.2021.32.2.3

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.