## Are the equations of relativity "closed"

Are the equations of relativity "closed" i mean if we can add an extra term of 0 covariant derivative to them without alter thes olution i mean if we have the equations

Gab=Tab , will the equations

Gab+Uab=Tab with DUab=0 (covariant derivative)

can both equation provide the same geometrical interpretation of gravity?...
 Recognitions: Gold Member Science Advisor Staff Emeritus The cosmological constant is essentially just that.

 Originally posted by eljose79 Are the equations of relativity "closed" i mean if we can add an extra term of 0 covariant derivative to them without alter thes olution i mean if we have the equations Gab=Tab , will the equations Gab+Uab=Tab with DUab=0 (covariant derivative) can both equation provide the same geometrical interpretation of gravity?...
Can you rephrase this question? You write

".., will the equations (..) can both provide the same geometrical interpretation of gravity."

I don't know what this means. They clearly have different solutions.

Pmb