A puzzle concerning the quadrupole formula for gravitational radiation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gravitational Collapse, Gravitational Waves, Neutron Stars, Quadrupoles, Stellar Models, Computer Programs, Energy Dissipation, Relativity, Stellar Mass

Scientific paper

A comparison is made between the damping of the fundamental mode of a neutron star due to a gravitational radiation reaction, calculated by an approximate method based on the standard quadrupole formula for the energy loss, and the damping given by previous calculations using the full theory of general relativity. Numerical results for a mildly relativistic neutron star 2GM/Rc-squared of less than 10% show the surprising result that the damping times differ by a factor of about 3 between these two methods.

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