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Barceló, Carlos and Carballo Rubio, Raúl and Garay Elizondo, Luis Javier (2014) Unimodular gravity and general relativity from graviton selfinteractions. Physical review D, 89 (12). ISSN 15507998

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Official URL: http://dx.doi.org/10.1103/PhysRevD.89.124019
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http://journals.aps.org/  Publisher 
Abstract
It is commonly accepted that general relativity is the only solution to the consistency problem that appears when trying to build a theory of interacting gravitons (massless spin2 particles). Padmanabhan’s 2008 thoughtprovoking analysis raised some concerns that are having resonance in the community. In this paper we present the selfcoupling problem in detail and explicitly solve the infiniteiterations scheme associated with it for the simplest theory of a graviton field, which corresponds to an irreducible spin2 representation of the Poincaré group. We make explicit the nonuniqueness problem by finding an entire
family of solutions to the selfcoupling problem. Then we show that the only resulting theory which implements a deformation of the original gauge symmetry happens to have essentially the structure of unimodular gravity. This makes plausible the possibility of a natural solution to the first cosmological constant problem in theories of emergent gravity. Later on, we change for the sake of completeness the starting freefield theory to FierzPauli theory, an equivalent theory but with a larger gauge symmetry. We indicate how to carry out the infinite summation procedure in a similar way. Overall, we conclude that as long as one requires the (deformed) preservation of internal gauge invariance, one naturally recovers the structure of unimodular gravity or general relativity but in a version that explicitly shows the underlying Minkowski spacetime, in the spirit of Rosen’s flatbackground bimetric theory.
Item Type:  Article 

Additional Information:  © 2014 American Physical Society. Financial support was provided by the Spanish MICINN through Projects No. FIS201130145C0301 and No. FIS201130145C0302 (with FEDER contribution), and by the Junta de Andalucía through Project No. FQM219. R. CR. acknowledges support from CSIC through the JAEpredoc program, cofunded by FSE. 
Uncontrolled Keywords:  Massless particles; Energymomentum; Fields; Derivation; Principle; Equations; Symmetry; Tensor; Spin. 
Subjects:  Sciences > Physics > PhysicsMathematical models Sciences > Physics > Mathematical physics 
ID Code:  29600 
Deposited On:  16 Apr 2015 08:09 
Last Modified:  10 Dec 2018 15:09 
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