Newtonian Counterparts of Spin 2 Massless Discontinuities

Abstract

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.

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

References in corpus (4)

• Partial Masslessness of Higher Spins in (A)dS
• Gauge Invariances and Phases of Massive Higher Spins in (A)dS
• No Van Dam-Veltman-Zakharov Discontinuity in Ads Space
• (Dis)continuities of Massless Limits in Spin 3/2-mediated Interactions and Cosmological Supergravity

Cited by in corpus (5)

• Massive Gravity
• Massive Gravity on de Sitter and Unique Candidate for Partially Massless Gravity
• Massive gravitational waves from the Cosmic Defect theory
• Gauge Invariance with Mass: Higher Spins in Cosmological Spaces
• New Properties of Matter in (A)dS and their Consequences