Use original alias of node for one of the tabs

when we implement node tab we might have pages which have page authority so we can't make a redirect for all the nodes otherwise we will loose alot of page authority.

Can we implement node tab so that

mynode // if someone comes to the original path alias can see the default tab.
mynode/second_tab // and then can navigate to the other tab.
mynode/third_tab // and so on..

Thank you,
Vishal