Frame-dragging effects in obliquely rotating magnetars

Magnetars are highly magnetized neutron stars. For a slowly rotating magnetar, the strong magnetic field deforms star, making it axisymmetric with respect to axis (the body symmetry axis). In magnetars, rotation is tilted axis, and we have an oblique rotator. General relativistic treatment of obliquely magnetar gives rise frame-dragging velocities both in azimuthal polar direction. Solving Einstein equation up first-order perturbation second-order field, calculate geodesic particle near star's surface. The velocity makes orbit non-planar, moves along direction for fixed radial distance. extent deviation from planar depends on strength misalignment angle. We find that continuous gravitational wave emitted such star non zero, small angle, amplitude more velocity. contrast, large dominates. energy loss misaligned rotator significantly therefore, can affect magnetosphere around magnetar.