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

TL;DR

This paper investigates the covariant Duffin-Kemmer-Petiau equation in curved space-time around a cosmic string, analyzing how topology and rotation affect solutions with scalar linear interactions.

Contribution

It provides exact analytical solutions to the covariant DKP equation in a cosmic string background, highlighting the influence of topology and rotation on the field.

Findings

Solutions depend on the product of deficit angle and angular velocity

Exact solutions obtained for node-less and one-node states

Topology significantly influences the DKP field behavior

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.