  In this work, the causality and stability of a first-order relativistic
dissipative hydrodynamic theory, that redefines the hydrodynamic fields from a
first principle microscopic estimation, have been analyzed. A generic approach
of gradient expansion for solving the relativistic transport equation has been
adopted using the Chapman-Enskog iterative method. Next, the momentum dependent
relaxation time approximation (MDRTA) has been employed to quantify the
collision term for analytical estimation of the field correction coefficients
from kinetic theory. At linear regime, in local rest frame the dispersion
relations are observed to produce a causal propagating mode. However, the
acausality and instability reappear when a boosted background is considered for
linear analysis. These facts point out relevant aspects regarding the
methodology of extracting the causal and stable first order hydrodynamics from
kinetic theory and indicate the appropriate approach to construct a valid first
order theory with proper justification.
