It is a bit more complicated for gravity, but yes, in principle it is possible.So, by drawing analogy with EM, I can easily find the eqn of field of a moving mass, the power radiated or other quantities ???
Right. You need really massive objects accelerating really fast to produce notable gravitational waves.And, as this is highly negligible, is that the reason why it took so long to detect it?
The analogy isn't quite perfect - gravitational radiation is given by a quadrupole formula, EM radiation by a dipole formula. This is related to the issue that you just can't have a moving mass stop for no reason, the conservation of momentum is built into the Einstein field equations, and a mass stopping with no cause is therefore not a solution of Einstein's field equations. So you need to reformulate your test problem in a way that conserves momentum in order to actually solve the equations and get out a number for gravitational radiation.So, by drawing analogy with EM, I can easily find the eqn of field of a moving mass, the power radiated or other quantities ???
And, as this is highly negligible, is that the reason why it took so long to detect it?
I snipped some confusing parts of the wiki article that relate to higher order moments. A slightly better statement of what I snipped is is from http://www.tat.physik.uni-tuebingen.de/~kokkotas/Teaching/NS.BH.GW_files/GW_Physics.pdfMore technically, the third time derivative of the quadrupole moment ... of an isolated system's stress–energy tensor must be non-zero in order for it to emit gravitational radiation. This is analogous to the changing dipole moment of charge or current that is necessary for the emission of electromagnetic radiation.
It follows that gravitational radiation is of quadrupolar or higher nature and is directly linked to the quadrupole moment of the mass distribution.