Magnetically confined mountains on accreting neutron stars with multipole magnetic fields

Understand

Magnetically confined mountains on accreting neutron stars are candidates for producing continuous gravitational waves.

• We formulate a magnetically confined mountain on a neutron star with strong multipole magnetic fields and obtain some sequences of numerical solutions.
• We find that the mass ellipticity of the mountain increases by one order of magnitude if the neutron star has strong multipole magnetic fields.
• As matter accretes on to the magnetic pole, the size of the mountain increases and the magnetic fields are buried.