## Can a Massive Graviton be a Stable Particle ?

**Authors:** Andrew Beckwith

This document is due to a question asked in the Dark Side of the Universe conference, 2010, in
Leon, Mexico, when a researcher from India asked the author about how to obtain a stability analysis
of massive gravitons. The answer to this question involves an extension of the usual Pauli_Fiertz
Langrangian , with non zero graviton mass contributing to a relationship between the trace of a re
done GR stress-energy tensor ( assuming non zero graviton mass) , and the trace of a re done
symmetric tensor , times a tiny mass for a 4 dimensional graviton. The resulting analysis makes use
of Visser's treatment of a stress energy tensor, with experimental applications discussed in the
resulting analysis. If the square of frequency of a massive graviton is real valued and greater than
zero, stability can be possibly confirmed experimentally.

**Comments:**
6 pages, no figures. Part of accepted contribution to the Frontiers of
Fundamental physics 11 conference, Paris, as a poster. Will be part of questions
raised in documentation for the DICE 2010 conference in Italy run by Thomas Elze,
September 13-17, 2010

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### Submission history

[v1] 12 Jun 2010

[v2] 21 Aug 2010

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