H_{G}^{p h e n} [N] = \frac{1}{16 π G} \int_{Σ} d^{3} x \bar{N} [-6 \sqrt{\bar{p}} {(\frac{\sin \bar{μ} γ \bar{k}}{\bar{μ} γ})}^{2} - \frac{1}{2 {\bar{p}}^{3 / 2}} {(\frac{\sin \bar{μ} γ \bar{k}}{\bar{μ} γ})}^{2} (δ E_{j}^{c} δ E_{k}^{d} δ_{c}^{k} δ_{d}^{j}) + \sqrt{\bar{p}} (δ K_{c}^{j} δ K_{d}^{k} δ_{k}^{c} δ_{j}^{d}) - \frac{2}{\sqrt{\bar{p}}} (\frac{\sin m \bar{μ} γ \bar{k}}{m \bar{μ} γ}) (δ E_{j}^{c} δ K_{c}^{j}) + \frac{1}{{\bar{p}}^{3 / 2}} (δ_{c d} δ^{j k} δ^{e f} \partial_{e} E_{j}^{c} \partial_{f} E_{k}^{d})] ~