Charges for linearized gravity

Aksteiner, Steffen; Andersson, Lars

doi:10.1088/0264-9381/30/15/155016

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Charges for linearized gravity

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Andersson, Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1301.2674
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Aksteiner, S., & Andersson, L. (2013). Charges for linearized gravity. Classical and quantum gravity, 30(15): 155016. doi:10.1088/0264-9381/30/15/155016.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000E-EA21-5

Abstract

Maxwell test fields as well as solutions of linearized gravity on the Kerr exterior admit non-radiating modes, i.e. non-trivial time-independent solutions. These are closely related to conserved charges. In this paper we discuss the non-radiating modes for linearized gravity, which may be seen to correspond to the Poincare Lie-algebra. The 2-dimensional isometry group of Kerr corresponds to a 2-parameter family of gauge-invariant non-radiating modes representing infinitesimal perturbations of mass and azimuthal angular momentum. We calculate the linearized mass charge in terms of linearized Newman-Penrose scalars.