  In this paper, we study the influence of noninertial effects on the Dirac
oscillator in the cosmic string spacetime background. We discuss the behaviour
of the oscillator frequency in a noninertial system that allows us to obtain
relativistic bound state solutions. We also discuss the influence of the
topology of the cosmic string spacetime on the relativistic energy levels, and
obtain the Dirac spinors for positive-energy solutions. Furthermore, by taking
the nonrelativistic limit of the energy levels, we compare the nonrelativistic
energy levels to the confinement of a spin-half particle to quantum dot
described by the Tan-Inkson model for a quantum dot [W.-C. Tan and J. C.
Inkson, Semicond. Sci. Technol. 11, 1635 (1996)], and a hard-wall confining
potential [E. Tsitsishvili et al., Phys. Rev. B 70, 115316 (2004)].
