  We obtain analytical expressions for distance-based quantum resources and
examine their distribution in the proximity of a Schwarzschild black hole (SBH)
within a curved background. For an observer in free fall and their stationary
counterpart sharing the Gisin state, the quantum resources are degraded at an
infinite Hawking temperature. The extent of this degradation that occurs as the
SBH evaporates is contingent upon the fermionic frequency mode, Gisin state
parameters, and the distance between the observer and the event horizon (EH).
In the case of two accelerating detectors in Minkowski spacetime interacting
with quantum fluctuating scalar fields (QFSF), we find that quantum coherence
and discord exhibit sudden disappearance for certain initial states and sudden
reappearance for others except entanglement, regardless of the Unruh
temperature. We also discover that the quantum resources of one detector can be
transferred to another in the case of two stationary detectors through a
fluctuating quantum field outside the SBH. We demonstrate that, in contrast to
coherence and discord, we are unable to regenerate entanglement for a given
initial state and that they are equal for different vacuum states. In certain
circumstances, the presence of EHs does not significantly reduce the available
resources, as it turns out that all interesting phenomena occur within EHs.
Since the world is basically non-inertial, it is necessary to understand the
distribution of quantum resources within a relativistic framework.
