Rotating and charged Taub-NUT-(A)dS spacetimes on a 3-brane

TL;DR

This paper constructs new rotating, charged Taub-NUT-(A)dS solutions on a 3-brane within the Randall-Sundrum II model, analyzing geodesics and the effects of tidal charge.

Contribution

It introduces novel solutions for rotating, charged Taub-NUT-(A)dS spacetimes on a 3-brane, including analysis of geodesic behavior and tidal charge effects.

Findings

Timelike and null circular geodesics do not occur on the equatorial plane.

Non-equatorial timelike geodesics can occur with negative tidal charge.

Null geodesics on non-equatorial planes are not supported by numerical evidence.

Abstract

We construct novel solutions to the effective Einstein equation with four dimensional cosmological constant on a 3-brane in Randall-Sundrum II scenario. The charged solution is obtained by assuming the existence of localized Maxwell fields on the 3-brane. Timelike and null circular geodesics in the neutral rotating braneworld spacetime with NUT parameter are discussed, and we find that such geodesics cannot occur on the equatorial plane. On non-equatorial planes, timelike circular geodesics can occur for the negative tidal charge, but we cannot find numerical results to support the existence of non-equatorial null circular geodesics.