Newtonian Counterparts of Spin 2 Massless Discontinuities

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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6 pages, amplifies the ``Newtonian cosmology'' analysis. To appear as a Class. Quantum Grav. Letter

Scientific paper

10.1088/0264-9381/18/23/103

Massive spin 2 theories in flat or cosmological ($\Lambda \ne 0$) backgrounds are subject to discontinuities as the masses tend to zero. We show and explain physically why their Newtonian limits do not inherit this behaviour. On the other hand, conventional ``Newtonian cosmology'', where $\Lambda $ is a constant source of the potential, displays discontinuities: e.g. for any finite range, $\Lambda$ can be totally removed.

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