Density coefficients

Displayed formulas in this passage

• X-D-ST@1#eq:density · line 353

  $$\begin{array}{rlrl}{a}^{\mu \nu }& ={a_1}^{\mu \nu }[h]=\frac{1}{2}H{\eta }^{\mu \nu }-h^{\mu \nu },& b& =\frac{1}{2}H,\\ b_2[h]& =\frac{1}{8}{H}^2-\frac{1}{4}{h}_{\alpha \beta }{h}^{\alpha \beta },& & \\ {a_2}^{\mu \nu }[h]& =h^{\mu }{}_{\lambda }{h}^{\lambda \nu }-\frac{1}{2}H{h}^{\mu \nu }+b_2[h]{\eta }^{\mu \nu },& & \\ A^{\mu \nu }& ={A_2}^{\mu \nu }[h,k]={a_1}^{\mu \nu }[k]+{a_2}^{\mu \nu }[h],& B& =b_1[k]+b_2[h].\end{array}$$

• unlabeled · line 374

  $$\sqrt{-\det q}{q}^{\mu \nu }={\eta }^{\mu \nu }+\kappa a^{\mu \nu }+{\kappa }^2{A}^{\mu \nu }.$$