Lifetime Estimate of a Neutron Star due to Gravitational Radiation Reaction
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Date
2009-07
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Addis Ababa University
Abstract
A rotating neutron star/pulsar can emit gravitational radiation.The third time derivative
of quadrupole moment of of an isolated systems must be non-zero in order for
it to emit gravitational radiation. We follow the emission of gravitational radiation
using quadrupole approximation. The energy and angular momentum of a rotating
neutron star can slowly decrease as it get older.
We estimate the average lifetime of a gravitational wave damping for a neutron
star wobble.Our calculation is based on the well known idea that energy loss within
an isolated wobbling neutron star causes the axis of inertia of the star to align with its
angular momentum vector. We model the neutron star as a rigid body with quadrupled
deformation of its moment of inertia tensor.We find out the numerical lifetime
estimate of a neutron star with two different dervations of the result: one is by adding
the Burke-Thorne radiation reaction potential to the newtonian equation of motion
and the other is based on energy and angular momentum balance
Key words: neutron star, quadrupole moment, gravitational radiation, angular momentum,
lifetime of neutron star
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Keywords
Neutron Star, Quadrupole Moment, Gravitational Radiation, Angular Momentum, Lifetime Of Neutron Star