Covariant formulation of PERSON@1 's equations In special relativity , in order to more clearly express the fact that PERSON@1 's equations in vacuum take the same form in any inertial coordinate system , PERSON@1 's equations are written in terms of four-vectors and tensors in the `` manifestly covariant '' form .

In special relativity , PERSON@1 's equations for the vacuum are written in terms of four-vectors and tensors in the `` manifestly covariant '' form . This has been done to show more clearly the fact that PERSON@1 's equations -LRB- in vacuum -RRB- take the same form in any inertial coordinate system .
