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The Crab and Vela are well-studied glitching pulsars and the data obtainedsofar should enable us to test the reliability of models of their internalstructures. Very recently it was proposed that glitching pulsars are embeddedin bimetric spacetime: their incompressible superfluid cores (SuSu-cores) areembedded in flat spacetime, whereas the ambient compressible and dissipativemedia are enclosed in Schwarzschild spacetime. In this letter we apply thismodel to the Crab and Vela pulsars and show that a newly born pulsar initiallyof $1.25\text{M}_{\odot}$ and an embryonic SuSu-core of $0.029\text{M}_{\odot}$could evolve into a \ARZL{Crab-like}\ARZR pulsar after 1000 years and into a\ARZL{Vela-like}\ARZR pulsar 10000 years later to finally fade away as aninvisible dark energy object after roughly 10 Myr. Based thereon we infer thatthe Crab and the Vela pulsars should have SuSu-cores of $0.15\text{M}_{\odot}$and $0.55\text{M}_{\odot}$, respectively. Futhermore, the under- andovershootings phenomena observed to accompany the glitch events of the Velapulsar are rather a common phenomenon of glitching pulsars that can bewell-explained within the framework of bimetric spacetime.

How massive are the superfluid cores in the Crab and Vela pulsars and why their glitch-events are accompanied with under and overshootings?