Abstract
General relativistic effects are essential in defining the spacetime around massive astrophysical objects. The effects can be captured using a test gyro. If the gyro rotates at some fixed orbit around the star, then the gyro precession frequency captures all the general relativistic effects. In this article, we calculate the overall precession frequency of a test gyro orbiting a rotating neutron star or a rotating magnetar. We find that the gyro precession frequency diverges as it approaches a black hole, whereas, for a neutron star, it always remains finite. For a rotating neutron star, a prograde motion of the gyro gives a single minimum, whereas a retrograde motion gives a double minimum. We also find that the gyroscope precession frequency depends on the star’s mass and rotation rate. Depending on the magnetic field configuration, we find that of the precession frequency of the gyro differs significantly inside the star; however, outside the star, the effect is not very prominent. Also, the gyro precession frequency depends more significantly on the star’s rotation rate than its magnetic field strength.
Highlights
B (GP-B)space-based experiment and its spaceborne gyroscopes [2,3]
In case of BHs starting with smaller values of Ω, the gyro precession frequency (GPF) gradually increases as we approach the BH, and it diverges before the event horizon is reached
We have studied the effect of an neutron stars (NSs) on a test gyroscope when placed near it
Summary
B (GP-B)space-based experiment and its spaceborne gyroscopes [2,3]. Still some challenges remain, and the recent overview of such challenges can be found in [4,5] and references therein. The recent discovery of several magnetars shows that the surface field as high as 1015 G, which infers the center field to be of the order of 1018 G In such ST, we study the GM effect and the effect of the magnetic field on the GM effect. The GPF is affected by the mass, rotation, and magnetic field of the central object. Initially we study mostly NSs, stars whose surface magnetic field are of the order of 1012 G and so the magnetic effect on GPF can be neglected. Later when we study magnetars (surface field is about 1015 G) we include magnetic effect while studying GPF. Lense and Thirring [1] studied frame-dragging in great detail, and the framedragging effect is known as LT effect They investigated the field of a rotating (concerning the asymptotic Minkowski space) solid mass sphere.
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