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In this paper, we conduct a comprehensive exploration of the relativisticquantum dynamics of spin 0 scalar particles, as described by the Duffin KemmerPetiau (DKP) equation, within the framework of a magnetic space time. Our focusis on the Bonnor Melvin Lambda (BML) solution, a four dimensional magneticuniverse characterized by a magnetic field that varies with axial distance. Toinitiate this investigation, we derive the radial equation using a suitablewave function ansatz and subsequently employ special functions to solve it.Furthermore, we extend our analysis to include Duffin Kemmer Petiau oscillatorfields within the same BML space time background. We derive the correspondingradial equation and solve it using special functions. Significantly, ourresults show that the geometry s topology and the cosmological constant (bothare related with the magnetic field strength) influences the eigenvaluesolution of spin 0 DKP fields and DKP oscillator fields, leading to substantialmodifications in the overall outcomes.

Relativistic Spin-0 Duffin-Kemmer-Petiau Equation in Bonnor-Melvin-Lambda Metric