Solution
= Solution
The dual orthonormal coframe is
$$
\boxed{e^0=dt,\qquad e^i=t^{p_i}dx^i},
$$
because $e^\mu(e_\nu)=\delta^\mu{}_\nu$.
= Solution
The dual orthonormal coframe is
$$
\boxed{e^0=dt,\qquad e^i=t^{p_i}dx^i},
$$
because $e^\mu(e_\nu)=\delta^\mu{}_\nu$.