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In this article, we investigate the behaviour of relativistic spin-zero bosons in the space-time generated by a spinning cosmic string. We obtain the generalized beta-matrices in terms of the flat space-time ones and rewrite the covariant form of Duffin-Kemmer-Petiau (DKP) equation in spinning cosmic string space-time. We find the solution of DKP oscillator and determine the energy levels. We also discuss the influence of the topology of the cosmic string on the energy levels and the DKP spinors.

The Duffin-Kemmer-Petiau (DKP) equation has been used to describe relativistic spin-0 and spin-1 bosons [

The influence of topological defect in the dynamics of bosons via DKP formalism has not been established for spinning cosmic strings. In this way, we consider the quantum dynamics of scalar bosons via DKP formalism embedded in the background of a spinning cosmic string. We solve DKP equation in presence of the spinning cosmic string space-time whose metric has off diagonal terms which involves time and space. The influence of this topological defect in the energy spectrum and DKP spinor presented graphically.

The structure of this paper is as follows: Section

We choose the cosmic string space-time background, where the line element is given by

With this transformation, the line element ((

with

The DKP equation in the cosmic string space-time (

By the change of variable

The DKP oscillator is introduced via the nonminimal substitution [

Combining these results we obtain (

The wave function

Density of probability

The energy as a function of

The energy as a function of

The energy as a function of

The energy as a function of

The energy as a function of

The overall objective of this paper is the study of the relativistic quantum dynamics of a DKP oscillator field for spin-0 particle in the spinning cosmic string space-time. The line element in this background is obtained by coordinate transformation of Cartesian coordinate. The metric has off diagonal terms which involves time and space. We considered the covariant form of DKP equation in the spinning cosmic string background and obtained the solutions of DKP equation for spin-0 bosons. Second we introduced DKP oscillator via the nonminimal substitution and considered DKP oscillator in that background. From the corresponding DKP equation, we obtained a system of five equations. By combining the results of this system we obtained a second-order differential equation for first component of DKP spinor that the solutions are Laguerre polynomials. We see that the results are dependent on the linear mass density of the cosmic string. In the limit case of

The Nikiforov-Uvarov method is helpful in order to find eigenvalues and eigenfunctions of the Schrödinger equation, as well as other second-order differential equations of physical interest. More details can be found in [

In the rather more special case of

The data used to support the findings of this study are available from the corresponding author upon request.

The authors declare that they have no conflicts of interest.