I am doing variation and perturbation in xAct, when perturb the metric, can I set the perturbation of metric is not symmetric in lower indices?

DefConstantSymbol[dim, PrintAs -> "D"]
DefManifold[M4, 
  dim, {\[Alpha], \[Beta], \[Gamma], \[Mu], \[Nu], \[Rho], \[Sigma], \
\[Kappa], \[Xi], \[Zeta], \[Delta]}];
DefMetric[-1, Met[-\[Mu], -\[Nu]], 
  CD, {";", "\!\(\*OverscriptBox[\(\[Del]\), \(-\)]\)"}, 
  PrintAs -> "\!\(\*OverscriptBox[\(g\), \(_\)]\)"];
DefMetricPerturbation[Met, \[Delta]Met, \[Tau], PrintAs -> "h"];
DefTensor[h1[-\[Alpha], -\[Beta]], M4]  ;