Energy Extraction in the Weyl Space-Time ---Maximum Binding Energy and Gravitational Energy Radiated by a Falling Particle---

Physics

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Scientific paper

We investigate a possibility of extraction of energy from a particle falling in a family of space-time with static and axially-symmetric Weyl metrics which are parametrized by quadrupole moment Q in weak field. Firstly we calculate the maximum binding energy in circular motion around a symmetrical axis in the equatorial plane. Secondly, using the formula of the gravitational radiation in flat space, we calculate the total energy radiated as gravitational radiation from a particle falling into an axially symmetrical collapsed object. We find that the total energy radiated becomes infinite when the distortion of the collapsed objects becomes large.

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