  The Crab and Vela are well-studied glitching pulsars and the data obtained
sofar should enable us to test the reliability of models of their internal
structures. Very recently it was proposed that glitching pulsars are embedded
in bimetric spacetime: their incompressible superfluid cores (SuSu-cores) are
embedded in flat spacetime, whereas the ambient compressible and dissipative
media are enclosed in Schwarzschild spacetime. In this letter we apply this
model to the Crab and Vela pulsars and show that a newly born pulsar initially
of $1.25\text{M}_{\odot}$ 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 an
invisible dark energy object after roughly 10 Myr. Based thereon we infer that
the 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- and
overshootings phenomena observed to accompany the glitch events of the Vela
pulsar are rather a common phenomenon of glitching pulsars that can be
well-explained within the framework of bimetric spacetime.
