Charged rotating black holes on a 3-brane
By A. Aliev, A. Gumrukcuoglu. 2005
190 citations recorded by the source corpus.
We study exact stationary and axisymmetric solutions describing charged rotating black holes localized on a 3-brane in the Randall-Sundrum braneworld. The charges of the black holes are considered to be of two types, the first being an induced tidal charge that appears as an imprint of nonlocal gravitational effects from the bulk space and the second is a usual electric charge arising due to a Maxwell field trapped on the brane. We assume a special ansatz for the metric on the brane taking it to be of the Kerr-Schild form and show that the Kerr-Newman solution of ordinary general relativity in which the electric charge is superseded by a tidal charge satisfies a closed system of the effective gravitational field equations on the brane. It turns out that the negative tidal charge may provide a mechanism for spinning up the black hole so that its rotation parameter exceeds its mass. This is not allowed in the framework of general relativity. We also find a new solution that represents a rotating black hole on the brane carrying both charges. We show that for a rapid enough rotation the combined influence of the rotational dynamics and the local bulk effects of themore » 'squared' energy-momentum tensor on the brane distort the horizon structure of the black hole in such a way that it can be thought of as composed of nonuniformly rotating null circles with growing radii from the equatorial plane to the poles. We finally study the geodesic motion of test particles in the equatorial plane of a rotating black hole with tidal charge. We show that the effects of negative tidal charge tend to increase the horizon radius, as well as the radii of the limiting photon orbit, the innermost bound and the innermost stable circular orbits for both direct and retrograde motions of the particles.« less
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/3a383c6b32b681ba45cc08afa00a51c62de122eb
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Citations in the corpus
- Silhouette of M87*: A new window to peek into the world of hidden dimensions (2019, background): “(2) appears identical to a Kerr-Newmann BH, while the case with negative q has no analogue in GR and thus provides a true signature of the additional spatial dimensions [35,46,47].”
- Appearance of Keplerian discs orbiting Kerr superspinars (2010, background): “, for braneworld Kerr black holes having quite regular event horizon when the tidal charge braneworld parameter, reflecting the braneworld black hole interaction with the external bulk space, takes negative values, and a > 1 [1, 2, 46, 47, 65].”
- Orbital resonances in discs around braneworld Kerr black holes (2008, methodology): “For linear approximation ina, the metric arrives at the usual Boyer– Lindquist form describing “tidally” charged and slowly rot ating brany black holes [8].”