Can one detect a non-smooth null infinity?

Valiente-Kroon, Juan Antonio

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Can one detect a non-smooth null infinity?

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Valiente-Kroon, Juan Antonio
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Valiente-Kroon, J. A. (2001). Can one detect a non-smooth null infinity? Classical and Quantum Gravity, 18, 4311-4316.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-55E8-F

Abstract

It is shown that the precession of a gyroscope can be used to elucidate the nature of the smoothness of the null infinity of an asymptotically flat spacetime (describing an isolated body). A model is proposed for which the effects of precession in the non-smooth null infinity case are of the order r-2ln r. In contrast, in the smooth version the effects are of the order r-3. This difference should provide an effective criterion to decide on the nature of the smoothness of null infinity.