  We study the effects of asymmetry in entanglement thermodynamics of the CFT
subsystems. It is found that `boosted' $p$-branes backgrounds give rise to the
first law of the entanglement thermodynamics where the CFT pressure plays
decisive role in the entanglement. Two different strip like subsystems, one
parallel to the boost and the other perpendicular, are studied in the
perturbative regime, where $T_{thermal}\ll T_E$. We also discuss the AdS-wave
backgrounds where some universal bounds can be obtained.
