Noncommutative Inspired Black Holes in Extra Dimensions

Rizzo, Thomas G.

Stanford Linear Accelerator Center

关键词: Black Holes;    Phenomenology-Hep,Hepph, Hepth;    Dimensions;    Modifications Phenomenology-Hep,Hepph, Hepth;    71 Classical And Quantum Mechanics, General Physics;   

DOI  :  10.2172/883266
RP-ID  :  SLAC-PUB-11864
RP-ID  :  AC02-76SF00515
RP-ID  :  883266

美国|英语

来源: UNT Digital Library

【 摘 要 】

In a recent string theory motivated paper, Nicolini, Smailagic and Spallucci (NSS) presented an interesting model for a noncommutative inspired, Schwarzschild-like black hole solution in 4-dimensions. The essential effect of having noncommutative co-ordinates in this approach is to smear out matter distributions on a scale associated with the turn-on of noncommutativity which was taken to be near the 4-d Planck mass. In particular, NSS assumed that this smearing was essentially Gaussian. This energy scale is sufficiently large that in 4-d such effects may remain invisible indefinitely. Extra dimensional models which attempt to address the gauge hierarchy problem, however, allow for the possibility that the effective fundamental scale may not be far from {approx} 1 TeV, an energy regime that will soon be probed by experiments at both the LHC and ILC. In this paper we generalize the NSS model to the case where flat, toroidally compactified extra dimensions are accessible at the TeV-scale and examine the resulting modifications in black hole properties due to the existence of noncommutativity. We show that while many of the noncommutativity-induced black hole features found in 4-d by NSS persist, in some cases there can be significant modifications due the presence of extra dimensions. We also demonstrate that the essential features of this approach are not particularly sensitive to the Gaussian nature of the smearing assumed by NSS.