Probing spacetime noncommutative constant via charged astrophysical black hole lensing
arXiv:1106.1974 · doi:10.1007/JHEP10(2011)052
Abstract
We study the influence of the spacetime noncommutative parameter on the strong field gravitational lensing in the noncommutative Reissner-Nordström black-hole spacetime. Supposing that the gravitational field of the supermassive central object of the Galaxy is described by this metric, we estimate the numerical values of the coefficients and observables for strong gravitational lensing. Our results show that with the increase of the parameter , the observables and decrease, while increases. Our results also show that i) if is strong, the observables are close to those of the noncommutative Schwarzschild black hole lensing; ii) if is weak, the observables are close to those of the commutative Reissner-Nordström black hole lensing; iii) the detectable scope of in a noncommutative Reissner-Nordström black hole lensing is , which is wider than that in a noncommutative Schwarzschild black hole lensing, . This may offer a way to probe the spacetime noncommutative constant by the astronomical instruments in the future.
17 pages, 7 figures, 4 tables, to appear in JHEP
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