5D gravitational waves from complexified black rings

Abstract

In this paper we construct and briefly study the 5D time-dependent solutions of general relativity obtained via double analytic continuation of the black hole (Myers-Perry) and of the black ring solutions with a double (Pomeransky-Senkov) and a single rotation (Emparan-Reall). The new solutions take the form of a generalized Einstein-Rosen cosmology representing gravitational waves propagating in a closed universe. In this context the rotation parameters of the rings can be interpreted as the extra wave polarizations, while it is interesting to state that the waves obtained from Myers-Perry Black holes exhibit an extra boost-rotational symmetry in higher dimensions which signals their better behavior at null infinity. The analogue to the C-energy is analyzed.Comment: 18 pages, 4 figures. References added, introduction and conclusions are amended, some issues related to singularity structure and symmetries are discussed. Matches the print version to appear in JHE

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.…”

Time-dependent hypercylindrical spacetimes

“…Moreover, if we complexify a spatial coordinate, a time-dependent solution can be generated. Recently this technique has been used to generate 5D time-dependent solutions, for instance, complexifying the 5D Myers-Perry black hole it was obtained a 5D time-dependent solution that describes gravitational waves in a space-time with boost rotational symmetry [8]. From the exposed reasons, it is interesting to study a 5D time-dependent solution that can represent gravitational waves.…”