HIGHER DIMENSIONAL SOLUTION OF TORSION SCALAR THEORY
Rahmat Hidayah Alineng (b*), Bobby Eka Gunara (a,b)
a) Indonesian Center for Theoretical and Mathematical Physics (ICTMP),
Jl. Ganesha no. 10 Bandung, 40132, Indonesia
b) Theoretical Physics Laboratory, Theoretical High Energy Physics and Instrumentation Research Group,
Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung,
Jl. Ganesha no. 10 Bandung, 40132, Indonesia
* rahmathidayaha[at]students.itb.ac.id
Abstract
We have calculated a variation of Einstein-Hilbert action which modifying TEGR (f(T)), and include a derivative coupling of the scalar field to torsion. Its results are the gravitation field equation containing the torsion scalar and the Klein-Gordon scalar field equation. By these equations, applied the D-dimensional metric ansatz with a general geometry, hence we acquire the equation master which leads to all other unknown functions. This follows that there is no a exact black hole solution, and the general solution which is linearized in an asymptotic region is in the tangential form.
Keywords: Scalar Torsion, Equation Master, Asymptotic Solution.
Topic: Theoretical High Energy Physics