Post-Minkowskian expansion

In physics, precisely in the general theory of relativity, post-Minkowskian expansions (PM) or post-Minkowskian approximations are mathematical methods used to find approximate solutions of Einstein's equations by means of a power series development of the metric tensor.

Unlike post-Newtonian expansions (PN), in which the series development is based on a combination of powers of the velocity (which must be negligible compared to that of light) and the gravitational constant, in the post-Minkowskian case the developments are based only on the gravitational constant, allowing analysis even at velocities close to that of light (relativistic).

[1] 0PN corresponds to the case of Newton's theory of gravitation.

0PM (not shown) corresponds to the Minkowski flat space.

[2] One of the earliest works on this method of resolution is that of Bruno Bertotti, published in Nuovo Cimento in 1956.