KG- oscillators in Som-Raychaudhuri rotating cosmic string spacetime in a mixed magnetic field

Abstract

We investigate Klein-Gordon (KG) oscillators in a G & ouml;del-type Som-Raychaudhuri spacetime in a mixed magnetic field (given by the vector potential A mu= = (0,0, 0 , 0 , Acp,0), cp , 0 ) , with A cp = B1r2/2 1 r 2 /2 + B 2 r ). The resulting KG equation takes a Schr & ouml;dinger-like form (with an oscillator plus a linear plus a Coulomb-like interactions potential) that admits a solution in the form of biconfluent Heun functions/series HB B ( a, /3, y, S, z ) . The usual power series expansion of which is truncated to a polynomial of order nr r + 1 = n >= 1 through the usual condition y = 2 (nr r + 1 ) + a . However, we use the very recent recipe suggested by Mustafa [42] as an alternative parametric condition/correlation. i.e., S = - /3 (2nr 2 n r +a+ a + 3 ) , to facilitate conditional exact solvability of the problem. We discuss and report the effects of the mixed magnetic field as well as the effects of the G & ouml;del-type SR-spacetime background on the KG-oscillators' spectroscopic structure.