Some Possible Schemes in Higher Dimensional Stationary Skyrme Blackhole Formulation Emir Syahreza Fadhilla, Bobby Eka Gunara, Ardian Nata Atmaja
Theoretical High Energy Physics Research Division, Institut Teknologi Bandung, Jl. Ganesha10 Bandung 40132, Indonesia.
Research Center for Physics, Indonesian Institute of Sciences (LIPI), Kompleks PUSPIPTEK Serpong, Tangerang 15310, Indonesia.
Abstract
In this article we present some possible ways on how to formulate a stationary blackhole in higher dimensional generalized Skyrme model with minimal gravitational coupling. We consider a generalized Skyrme action which includes all possibble higher order kinetic terms as the representations of all strain tensor invariants. Some possible spacetime ansatzs are mentioned, such as Myers-Perry metric and general higher dimensional axisymmetric metric with one rotation plane. Here, we find that there exist some Skyrme field ansatzs, obeying the same symmetries of the spacetime manifold, which lead to a diagonal strain tensor.
