Time-dependent solution from Myers–Perry

Abstract

We present a three-parameter time-dependent solution of the vacuum Einstein equations in five dimensions. The solution is obtained by applying the Wick rotation to the Myers–Perry solution that represents a rotating black hole in five dimensions. The new interpretation of the Myers–Perry solution can be considered among the generalized Einstein–Rosen type that can be interpreted as plane-symmetric waves, cylindrical waves or cosmological space–time in five dimensions. In some limits the solution has boost-rotational symmetry and it is asymptotically flat. In the case that the solution represents a cylindrical space–time, the E-energy is analyzed.

Electromagnetism from 5D gravity: beyond the Maxwell equations

“…(4.12)-(4.14). Perhaps, the only exception is a class of time-dependent solutions, obtained through the Wick rotation of the 5D Myers-Perry black-hole metric [12,40,41]. 12 An alternate approach is using the 5D field equations for an amendment to the Maxwell equations, which are already close to experiment.…”