electromagnetic field can be simplified as As one can see from Eq. (25), in the background of AdS universe, the dilaton field does not exert any direct influence on the matter field F$_{tr}$ , however, the dilaton field modifies the geometry of the spacetime as it participates in the field equations. This is in contrast to the solutions presented in [19–22]. The solutions of Ref. [19–22] are neither asymptotically flat nor (A)dS and the gauge field crucially depends on the scalar dilaton field. The electric charge of the black brane per unit volume, Q , can be found by calculating the flux of the electromagnetic field at infinity (Gauss theorem), obtaining Let us return to Eq. (25). The gauge potential A$_{t}$ corresponding to the electromagnetic field (25) can be easily obtained as The electric potential U , measured at infinity with respect to the horizon, is defined by [33] where χ = ∂$_{t}$ is the null generator of the horizon. Therefore, the electric potential may be obtained as The quasilocal mass of the dilaton AdS black hole can be calculated through the use of the subtraction method of modified Brown and York (BY) [34]. Such a procedure causes the resulting physical quantities to depend on the choice of reference background. In order to use the BY method the metric should have the form Thus, we should write the metric (6) in the above form. To do this, we perform the following transformation [35]: 11 R = ρ Υ γ/ $^{2}$. ds 2 = − W ( R ) dt 2 + d R 2 V ( ) + R $^{2}$d Ω $^{2}$. (29) U = q ( n − 2) ( r 2 + + b $^{2}$) ( n − 2) / $_{2}$. (28) U = A$_{µ}$χ µ | r →∞ − A$_{µ}$χ $^{µ}$| r = r + , (27) A$_{t}$ = − q ( n − 2) ( r 2 + b $^{2}$) ( n − 2) / $_{2}$. Q = 1 4 π ∫ ρ →∞ d n − 1 $_{x}$√ − gF$_{tρ}$ = Ω$_{n}$$_{−}$$_{1}$ 4 π q. (26) F$_{tr}$ = q ( r 2 + b $^{2}$) ( n − 1) / $_{2}$. (25)