Applying the starquake model to study the formation of elastic mountains on spinning neutron stars
arxiv(2024)
摘要
When a neutron star is spun-up or spun-down, the changing strains in its
solid elastic crust can give rise to sudden fractures known as starquakes.
Early interest in starquakes focused on their possible connection to pulsar
glitches. While modern glitch models rely on pinned superfluid vorticity rather
than crustal fracture, starquakes may nevertheless play a role in the glitch
mechanism. Recently, there has been interest in the issue of starquakes
resulting in non-axisymmetric shape changes, potentially linking the quake
phenomenon to the building of neutron star mountains, which would then produce
continuous gravitational waves. Motivated by this issue, we present a simple
model that extends the energy minimisation-based calculations, originally
developed to model axisymmetric glitches, to also include non-axisymmetric
shape changes. We show that the creation of a mountain in a quake necessarily
requires a change in the axisymmetric shape too. We apply our model to the
specific problem of the spin-up of an initially non-rotating star, and estimate
the maximum mountain that can be built in such a process, subject only to the
constraints of energy and angular momentum conservation.
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