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

H. Hassanabadi; M. Hosseinpour; M. de Montigny

doi:10.1140/epjp/i2017-11831-y

EPJ

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

H. Hassanabadi¹, M. Hosseinpour¹ and M. de Montigny²^*

¹ Faculty of Physics, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran
² Faculté Saint-Jean, University of Alberta, T6C 4G9, Edmonton, Alberta, Canada

Received: 20 August 2017
Accepted: 5 December 2017
Published online: 27 December 2017

Abstract

We study the covariant Duffin-Kemmer-Petiau (DKP) equation for spin-zero bosons 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 the DKP equation in an exact analytical manner for nodeless and one-node states by means of an appropriate ansatz.