### Abstract

We investigate the decoupling limit in the DGP model of gravity by studying its non-linear equations of motion. We show that, unlike 4D massive gravity, the limiting theory does not reduce to a sigma model of a single scalar field: Non-linear mixing terms of the scalar with a tensor also survive. Because of these terms physics of DGP is different from that of the scalar sigma model. We show that the static spherically-symmetric solution of the scalar model found in [A. Nicolis, R. Rattazzi, JHEP 0406 (2004) 059, hep-th/0404159], is not a solution of the full set of non-linear equations. As a consequence of this, the interesting result on hidden superluminality uncovered recently in the scalar model in [A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, R. Rattazzi, hep-th/0602178], is not applicable to the DGP model of gravity. While the sigma model violates positivity constraints imposed by analyticity and the Froissart bound, the latter cannot be applied here because of the long-range tensor interactions that survive in the decoupling limit. We discuss further the properties of the Schwarzschild solution that exhibits the gravitational mass-screening phenomenon.

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

Pages (from-to) | 88-94 |

Number of pages | 7 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 639 |

Issue number | 2 |

DOIs | |

State | Published - Aug 3 2006 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*639*(2), 88-94. https://doi.org/10.1016/j.physletb.2006.06.016

**(De)coupling limit of DGP.** / Gabadadze, Gregory; Iglesias, Alberto.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 639, no. 2, pp. 88-94. https://doi.org/10.1016/j.physletb.2006.06.016

}

TY - JOUR

T1 - (De)coupling limit of DGP

AU - Gabadadze, Gregory

AU - Iglesias, Alberto

PY - 2006/8/3

Y1 - 2006/8/3

N2 - We investigate the decoupling limit in the DGP model of gravity by studying its non-linear equations of motion. We show that, unlike 4D massive gravity, the limiting theory does not reduce to a sigma model of a single scalar field: Non-linear mixing terms of the scalar with a tensor also survive. Because of these terms physics of DGP is different from that of the scalar sigma model. We show that the static spherically-symmetric solution of the scalar model found in [A. Nicolis, R. Rattazzi, JHEP 0406 (2004) 059, hep-th/0404159], is not a solution of the full set of non-linear equations. As a consequence of this, the interesting result on hidden superluminality uncovered recently in the scalar model in [A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, R. Rattazzi, hep-th/0602178], is not applicable to the DGP model of gravity. While the sigma model violates positivity constraints imposed by analyticity and the Froissart bound, the latter cannot be applied here because of the long-range tensor interactions that survive in the decoupling limit. We discuss further the properties of the Schwarzschild solution that exhibits the gravitational mass-screening phenomenon.

AB - We investigate the decoupling limit in the DGP model of gravity by studying its non-linear equations of motion. We show that, unlike 4D massive gravity, the limiting theory does not reduce to a sigma model of a single scalar field: Non-linear mixing terms of the scalar with a tensor also survive. Because of these terms physics of DGP is different from that of the scalar sigma model. We show that the static spherically-symmetric solution of the scalar model found in [A. Nicolis, R. Rattazzi, JHEP 0406 (2004) 059, hep-th/0404159], is not a solution of the full set of non-linear equations. As a consequence of this, the interesting result on hidden superluminality uncovered recently in the scalar model in [A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, R. Rattazzi, hep-th/0602178], is not applicable to the DGP model of gravity. While the sigma model violates positivity constraints imposed by analyticity and the Froissart bound, the latter cannot be applied here because of the long-range tensor interactions that survive in the decoupling limit. We discuss further the properties of the Schwarzschild solution that exhibits the gravitational mass-screening phenomenon.

UR - http://www.scopus.com/inward/record.url?scp=33745913049&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33745913049&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2006.06.016

DO - 10.1016/j.physletb.2006.06.016

M3 - Article

AN - SCOPUS:33745913049

VL - 639

SP - 88

EP - 94

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 2

ER -