5 problems

Let ${{\mathscr M}}_{\epsilon}$ be a physical spacetime, let ${{\mathscr M}}$ be its background spacetime, and let $h_{ab}$ be a perturbative metric tensor pulled back from…

Consider generic stiffness tensor fields $c_i$, density fields $\rho_i$, and Riemannian metrics $g_i$ in the setting of the stated Riemannian anisotropic elasticity problem, and le…

Gauge-invariant decomposition conjecture. There exist a tensor field ${\cal H}_{ab}$ and a vector field $X^a$ such that

Higher-order gauge-transformation conjecture. There exists a vector field $\hat\sigma_{(n)}^a$ such that

Decomposition conjecture. There exist a tensor field ${\cal H}_{ab}$ and a vector field $X^a$ such that