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General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
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.