The m→0 limit for massive graviton in dS4 and AdS4 — How to circumvent the van Dam–Veltman–Zakharov discontinuity

By I. Kogan, Stavros Mouslopoulos, A. Papazoglou. 2000

144 citations recorded by the source corpus.

Abstract We show that, by considering physics in dS 4 or AdS 4 spacetime, one can circumvent the van Dam–Veltman–Zakharov theorem which requires that the extra polarization states of a massive graviton do not decouple in the massless limit. It is shown that the smoothness of the m →0 limit is ensured if the H (“Hubble”) parameter, associated with the horizon of the dS 4 or AdS 4 space, tends to zero slower than the mass of the graviton m .

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0c677c7c085d93141ec6daa9d5faac1129b6af98

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Massive Gravity (2014, result): “This might suggest that in the massless limit m → 0, the helicity-0 mode decouples, which would imply the absence of the standard vDVZ discontinuity on (Anti) de Sitter [355, 426], unlike what was found on Minkowski, see Section 2.2.3, which confirms the Newtonian approximation presented in [185].”
Modified Gravity and Cosmology (2011, unknown): “1[721].”
On non-linear actions for massive gravity (2011, background): “An exception is massive gravity in AdS backgrounds which is known to not exhibit the vDVZ discontinuity at all [37, 38 ].”
Locally localized gravity (2000, result): “This shouldn’t come as a surprise, since we preserved the gauge invariance After completing this work, we became aware of [31], which obtains a similar result to [30].”