Lifetime Estimate Of A Neutron Star Due To Gravitational Radiation Reaction

A rotating neutron star/pulsar can emit gravitational radiation.The third time derivativernof quadrupole moment of of an isolated systems must be non-zero in order forrnit to emit gravitational radiation. We follow the emission of gravitational radiationrnusing quadrupole approximation. The energy and angular momentum of a rotatingrnneutron star can slowly decrease as it get older.rnWe estimate the average lifetime of a gravitational wave damping for a neutronrnstar wobble.Our calculation is based on the well known idea that energy loss withinrnan isolated wobbling neutron star causes the axis of inertia of the star to align with itsrnangular momentum vector. We model the neutron star as a rigid body with quadrupledrndeformation of its moment of inertia tensor.We find out the numerical lifetimernestimate of a neutron star with two different dervations of the result: one is by addingrnthe Burke-Thorne radiation reaction potential to the newtonian equation of motionrnand the other is based on energy and angular momentum balancernKey words: neutron star, quadrupole moment, gravitational radiation, angular momentum,rnlifetime of neutron star

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