I know that exist a tool Add Spatial index but I haven't found one that just update or recalculate my spatial index. Is there one?
By default, ArcGIS creates and maintains a spatial index for geodatabase feature classes. For a geodatabase feature class to not have a spatial index, you must explicitly remove it using the Remove_Spatial_Index tool
From the help for Add Spatial index:
If you find it didn't automatically update, you can run both tools to remove and then add the spatial index.