Investigation of DKP equation for spin-zero system in the presence of Gödel-type background space-time

Abstract

This paper contains a discussion of a relativistic spin-0 system in the presence of a Gödel-type background space-time. The Duffin-Kemmer-Petiau (DKP) equation in the presence of a Gödel-type background space-time is studied in detail. After a derivation of the final form of this equation in the considered framework, free spin-0 particles have been studied.

Wave Fronts in a Causality-Violating Gödel-Type Metric

“…In cylindrical coordinates ðt, r, ϕ, zÞ, the general class of Gödel-type metrics is given by [8,[11][12][13]]…”

The Dirac equation in a class of topologically trivial flat Gödel-type space-time backgrounds

“…They obtained the solutions of the wave equations in all three classes of Gödel-type space-times (see, e. g., Refs. [63][64][65][69][70][71][76][77][78][79]) and observed the similarity of the energy eigenvalues with the Landau levels in flat space [61,62,80,81]. The obtained eigenvalues of energy in these different classes of Gödel-type space-times are found different and the results are enough significant [71,76].…”

“…The general class of Gödel-type metrics without a cosmic string in polar coordinates (t, r, φ, z) can be written as [69][70][71][72]…”

“…The obtained eigenvalues of energy in these different classes of Gödel-type space-times are found different and the results are enough significant [71,76]. Other works are the quantum dynamics of Klein-Gordon scalar field subject to Cornell potential [82], survey on the Klein-Gordon equation in a class of Gödel-type space-times [83], the Dirac-Weyl equation in graphene under a magnetic field [84], effects of cosmic string framework on thermodynamical properties of anharmonic oscillator [85], study of bosons for three special limits of Gödel-type space-times [86], the Klein-Gordon oscillator in the presence of Cornell potential in the cosmic string space-time [87], the covariant Duffin-Kemmer-Petiau (DKP) equation in the cosmic-string space-time with interaction of a DKP field with the gravitational field produced by topological defects investigated in [88], the Klein-Gordon field in spinning cosmic string space-time with the Cornell potential [89], the relativistic spin-zero bosons in a Som-Raychaudhuri space-time investigated in [90], investigation of the Dirac equation using the conformable fractional derivative [91], effect of the Wigner-Dunkl algebra on the Dirac equation and Dirac harmonic oscillator investigated in [92], investigation of the relativistic dynamics of a Dirac field in the Som-Raychaudhuri space-time, which is described by Gödel-type metric and a stationary cylindrical symmetric solution of Einstein's field equations for a charged dust distribution in rigid rotation [93], investigation of relativistic free bosons in the Gödel-type spacetimes [94], investigation of relativistic quantum dynamics of a DKP oscillator field subject to a linear interaction in cosmic string space-time to understand the effects of gravitational fields produced by topological defects on the scalar field [95], the behaviour of relativistic spin-zero bosons in the space-time generated by a spinning cosmic string investigated in [96], relativistic spin-0 system in the presence of a Gödel-type background space-time investigated in [97], study of the Duffin-Kemmer-Petiau (DKP) equation for spin-zero bosons in the space-time generated by a cosmic string subject to a linear interaction of a DKP field with gravitational fields produced by topological defects investigated in [98], the information-theoretic measures of (1 + 1)dimensional Dirac equation in both position and momentum spaces are investigated for the trigonometric Rosen-Morse and the Morse potentials investigated in [99], analytical bound and scattering state solutions of Dirac equation for the modified deformed Hylleraas potential with a Yukawat...…”

The generalized Klein–Gordon oscillator with position-dependent mass in a particular Gödel-type space–time

“…10 Moreover, numerous valuable works about the Gödel-type space-time can be found in Refs. [11][12][13][14][15][16][17][18] As we all know, Moshinsky and Szczepaniak introduced the Dirac oscillator as the famous model of the harmonic oscillator. 19 Bruce and Minning introduced KG oscillator 20 according to the Dirac oscillator by considering a coupling to the KG equation.…”