Classical Analysis of the van Dam - Veltman Discontinuity

Details Classical Analysis of the van Dam - Veltman Discontinuity Classical Analysis of the van Dam - Veltman Discontinuity

2001-07-16

arxiv.org/abs/gr-qc/0107058v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX 2e, 11 pages, no figures

Scientific paper

We consider the classical theory of a gravitational field with spin 2 and non-vanishing (Pauli-Fierz) mass in flat spacetime, coupled to electromagnetism and point particles. We establish the law of light propagation and calculate the amount of deflection in the background of a spherically symmetric gravitational field. As the mass tends to zero, the deflection is shown to converge to 3/4 of the value predicted by the massless theory (linearized General Relativity), even though the spherically symmetric solution of the gravitational field equations has no regular limit. This confirms an old argument of van Dam and Veltman on a purely classical level, but also shows its subtle nature.

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