Electric charge on the brane?

Journal Article · Sun May 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.104050· OSTI ID:21502621

Kleihaus, Burkhard; Kunz, Jutta; Senkbeil, Daniel ^[1]; Radu, Eugen ^[2]

---

1. Institut fuer Physik, Universitaet Oldenburg, Postfach 2503 D-26111 Oldenburg (Germany)
2. School of Theoretical Physics-DIAS, 10 Burlington Road, Dublin 4 (Ireland)

We consider black holes localized on the brane in the Randall-Sundrum infinite braneworld model. These configurations are static and charged with respect to a spherically symmetric, electric Maxwell field living on the brane. We start by attempting to construct vacuum black holes, in which case our conclusions are in agreement with those of Yoshino [J. High Energy Phys. 01 (2009) 068]. Although approximate solutions appear to exist for sufficiently small brane tension, these are likely only numerical artifacts. The qualitative features of the configurations in the presence of a brane U(1) electric field are similar to those in the vacuum case. In particular, we find a systematic unnatural behavior of the metric functions in the asymptotic region in the vicinity of the anti-de Sitter horizon. Our results are most naturally interpreted as evidence for the nonexistence of static, nonextremal charged black holes on the brane. In contrast, extremal black holes are more likely to exist on the brane. We determine their near-horizon form by employing both analytical and numerical methods. For any bulk dimension d>4, we find good agreement between the properties of large extremal black holes and the predictions of general relativity, with calculable subleading corrections.

• OSTI ID: 21502621
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
APPROXIMATIONS
ASYMPTOTIC SOLUTIONS
BLACK HOLES
BRANES
CALCULATION METHODS
CONFIGURATION
CORRECTIONS
ELECTRIC CHARGES
ELECTRIC FIELDS
FIELD THEORIES
FORECASTING
GENERAL RELATIVITY THEORY
M-THEORY
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
METRICS
RELATIVITY THEORY
SIMULATION
SPACE
SYMMETRY