Variation in the luminosity of Kerr quasars due to an extra dimension in the braneRandall–Sundrum model

Abstract

We propose an alternative theoretical approach showing how the existence of an extradimension in the Randall–Sundrum model can be used to estimate the correction in thehorizon of Schwarzschild and Kerr black holes, and consequently its measurability interms of the variation of quasar luminosity, which can be caused by an imprint ofan extra dimension endowing the geometry of the brane-world scenario to theAdS5 bulk. The rotation effects cause a more prominent correction in Kerr horizon radii than inthe Schwarzschild (static black hole) radius, via brane-world effects, and the consequentbigger variation in the luminosity in Kerr black hole quasars. This paper is intended toinvestigate the variation of luminosity due to the accretion of gas in Schwarzschild andKerr black holes (BHs) in the centres of quasars, besides also investigating the variationof luminosity in supermassive BHs arising from brane-world effects, using theRandall–Sundrum model.