  Quantum discord quantifies the total non-classical correlations in mixed
states. It is the difference between total correlation, measured by quantum
mutual information, and the classical correlation. Another step forward towards
the quantification of quantum discord was by Dakic, Vedral, and Brukner [Phys.
Rev. Lett. 105,190502 (2010)] who introduced the geometric measure of quantum
discord (GMQD) and derived an explicit formula for a two-qubit state. Recently,
Luo and Fu [Phys. Rev. Lett. 106, 120401 (2011)] introduced measurement-induced
nonlocality (MIN) as a measure of nonlocality for a bipartite quantum system.
The dynamics of GMQD is recently considered by Song et al. [arXiv:
quant/ph.1203.3356] and Zhang et al. [Eur. Phys. J. D 66, 34 (2012)] for
inertial observers. However, the topic requires due attention in noninertial
frames, particularly, from the perspective of MIN. Here I consider X-structured
bipartite quantum system in noninertial frames and analyze the decoherence
dynamics of GMQD and MIN at finite temperature. The dynamics under the
influence of amplitude damping, depolarizing and phase flip channels is
discussed. It is worth-noting that initial state entanglement plays an
important role in bipartite states. It is possible to distinguish the Bell,
Werner and general type initial quantum states using GMQD. Sudden transition in
the behaviour of GMQD and MIN occurs depending upon the mean photon number of
the local environment. The transition behaviour disappears for larger values of
n, i.e. n>0.3. It becomes more prominent, when environmental noise is
introduced in the system. ......
