Let us define 4 vector by 4 co-ordinates (x1,x2,x3,x4) where (x1,x2,x3) are space components (like x,y,z) and x4 is related to time as x4=ict.Express the following equations in tensor notation.

(i)The continuity equation: div J+(del*rho/del t)=0

(ii)The wave equation laplacian ר-(1/c^2) [del^2 ר/del t^2]=0

(iii)What will be the value of j4 instead of above?

my attempts:Please tell me if I am going through the right way.

sum(dJi/dxi,i=1..4)= di (Ji)

Where J is the quadrivector (Jx,Jy,jz,icRho)

So the charge conservation equation is just the divergence of the 4vector.

Along the same line, the generalisation of the Laplacian is:
D'Alembertian= sum[(d/dxi)^2,i=1..3]+(d/d(ict))^2
= sum[(d/dxi)^2,i=1..4]
So a wave equation looks like a generalization of a Poisson equation to a 4 dimensional space.