Duffin-Kemmer-Petiau equation in curved space-time with scalar linear interaction

Abstract

In this paper, we study the covariant Duffin-Kemmer-Petiau (DKP) equation in the space-time generated by a cosmic string and we examine the linear interaction of a DKP field with gravitational fields produced by topological defects and thus study the influence of topology on this system. We highlight two classes of solutions defined by the product of the deficit angle with the angular velocity of the rotating frame. We solve the covariant form of DKP equation in an exact analytical manner for node-less and one-node states by means of an appropriate ansatz.

Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity

“…De Melo et al proposed a higher-dimensional formalism of the Galilean covariance to the noncommutative DKP oscillator to obtain an analytic solution [44]. Hence, we observe that the interest in the DKP oscillator and its solutions is increasing day by day even in flat [41][42][43][44][45][46][47] and in curved space-times [48][49][50][51][52][53][54]. Considering all these studies, we are motivated to investigate the dynamics of the spin-0 bosonic vector field with a non-minimal coupling in the context of RG under the presence of the cosmic string space-time with topological defects.…”

Aharonov–Bohm effect on the generalized Duffin–Kemmer–Petiau oscillator in the Som–Raychaudhuri spacetime

“…The researchers use usually similar manner that describe general-relativistic covariant Dirac equation to describe the dynamics of a DKP spinor under the curved space-time. The DKP equation under the curved space-time is given by 47,48 (iβ µ ∇ µ − M ) Ψ = 0.…”

Non-inertial effects on generalized KG-oscillator in the presence of Coulomb-type potential in topological defects geometry

“…These wave-equations have investigated on the background curved geometries with or without interactions (e. g., [4,5,6,7,8,9]). In the context of cosmic string geometries, these wave-equations have studied by several authors (e. g., [10,11,12,13,14,15,16,17,18,19,20,21,22,23]). In addition, the influence of non-inertial effects in cosmic string space-time was studied in [24,25,26,27,28,29,30,31].…”