### Abstract

It was suggested that observations of the solar system exclude massive gravity, in the sense that the graviton mass must be rigorously zero. This is because there is a discontinuity in the linearized gravity theory at graviton mass equal to zero. The linearized Schwarzschild metric is not recovered for infinitesimal graviton mass, contradicting observations on light deviation by the Sun and Mercury perihelion advance. It was then argued that non-perturbative effects make the massive gravity theory continuous in the graviton mass. Both the original suggestion and its refutation were based on a non-covariant and linearized action, and the physical interpretation of these results remained questionable. Here we use a covariant quasi-massive gravity theory that is known to be discontinuous in the graviton mass in the linear approximation. We show that non-perturbative effects do restore the continuity; the weak-field Schwarzschild solution is recovered in the limit of small graviton mass. We also show that weak-field Schwarzschild with matter is recovered for infinitesimal graviton mass. Thus: Observations of the solar system only put an upper limit on the graviton mass (in the context of the gravity theory that we use, inverse graviton mass, as measured at distances of order inverse graviton mass, is ≳100 Mpc). But graviton can be massive, with a cosmologically interesting mass.

Original language | English (US) |
---|---|

Pages (from-to) | 311-314 |

Number of pages | 4 |

Journal | New Astronomy |

Volume | 10 |

Issue number | 4 |

DOIs | |

State | Published - Mar 2005 |

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### ASJC Scopus subject areas

- Astronomy and Astrophysics

### Cite this

*New Astronomy*,

*10*(4), 311-314. https://doi.org/10.1016/j.newast.2004.12.001

**On the graviton mass.** / Gruzinov, Andrei.

Research output: Contribution to journal › Article

*New Astronomy*, vol. 10, no. 4, pp. 311-314. https://doi.org/10.1016/j.newast.2004.12.001

}

TY - JOUR

T1 - On the graviton mass

AU - Gruzinov, Andrei

PY - 2005/3

Y1 - 2005/3

N2 - It was suggested that observations of the solar system exclude massive gravity, in the sense that the graviton mass must be rigorously zero. This is because there is a discontinuity in the linearized gravity theory at graviton mass equal to zero. The linearized Schwarzschild metric is not recovered for infinitesimal graviton mass, contradicting observations on light deviation by the Sun and Mercury perihelion advance. It was then argued that non-perturbative effects make the massive gravity theory continuous in the graviton mass. Both the original suggestion and its refutation were based on a non-covariant and linearized action, and the physical interpretation of these results remained questionable. Here we use a covariant quasi-massive gravity theory that is known to be discontinuous in the graviton mass in the linear approximation. We show that non-perturbative effects do restore the continuity; the weak-field Schwarzschild solution is recovered in the limit of small graviton mass. We also show that weak-field Schwarzschild with matter is recovered for infinitesimal graviton mass. Thus: Observations of the solar system only put an upper limit on the graviton mass (in the context of the gravity theory that we use, inverse graviton mass, as measured at distances of order inverse graviton mass, is ≳100 Mpc). But graviton can be massive, with a cosmologically interesting mass.

AB - It was suggested that observations of the solar system exclude massive gravity, in the sense that the graviton mass must be rigorously zero. This is because there is a discontinuity in the linearized gravity theory at graviton mass equal to zero. The linearized Schwarzschild metric is not recovered for infinitesimal graviton mass, contradicting observations on light deviation by the Sun and Mercury perihelion advance. It was then argued that non-perturbative effects make the massive gravity theory continuous in the graviton mass. Both the original suggestion and its refutation were based on a non-covariant and linearized action, and the physical interpretation of these results remained questionable. Here we use a covariant quasi-massive gravity theory that is known to be discontinuous in the graviton mass in the linear approximation. We show that non-perturbative effects do restore the continuity; the weak-field Schwarzschild solution is recovered in the limit of small graviton mass. We also show that weak-field Schwarzschild with matter is recovered for infinitesimal graviton mass. Thus: Observations of the solar system only put an upper limit on the graviton mass (in the context of the gravity theory that we use, inverse graviton mass, as measured at distances of order inverse graviton mass, is ≳100 Mpc). But graviton can be massive, with a cosmologically interesting mass.

UR - http://www.scopus.com/inward/record.url?scp=14044263414&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=14044263414&partnerID=8YFLogxK

U2 - 10.1016/j.newast.2004.12.001

DO - 10.1016/j.newast.2004.12.001

M3 - Article

VL - 10

SP - 311

EP - 314

JO - New Astronomy

JF - New Astronomy

SN - 1384-1076

IS - 4

ER -