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## Main Question or Discussion Point

Please tell me how to count the degree of freedom in ADM gravity.

6 independent components of [tex]q_{ab}[/tex],

and 4 constraints

= 2 degrees of freedom

shouldn't it be

6 independent components of [tex]q_{ab}[/tex]

implies 12 phase space variables

4 constraints

=8 phase space variables

=4 degrees of freedom?

6 independent components of [tex]q_{ab}[/tex],

and 4 constraints

= 2 degrees of freedom

shouldn't it be

6 independent components of [tex]q_{ab}[/tex]

implies 12 phase space variables

4 constraints

=8 phase space variables

=4 degrees of freedom?