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Physical Review D

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Massive gravity with anisotropic scaling

Bertha Cuadros-Melgar^1,2,*, Eleftherios Papantonopoulos^1,†, Minas Tsoukalas^1,3,‡, and Vassilios Zamarias^1,§

¹Department of Physics, National Technical University of Athens, Zografou Campus GR 157 73, Athens, Greece
²Physics Department, University of Buenos Aires FCEN-UBA and IFIBA-CONICET Ciudad Universitaria, Pabellón 1, 1428, Buenos Aires, Argentina
³Centro de Estudios Científicos (CECs), Casilla 1469, Valdivia, Chile

^*berthaki@gmail.com
^†lpapa@central.ntua.gr
^‡minasts@central.ntua.gr
^§zamarias@central.ntua.gr

Phys. Rev. D 85, 124035 – Published 18 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.124035

Abstract

We study a massive gravity theory which is Lorentz-violating all the way from ultraviolet to infrared energy scales. At short distances the theory breaks diffeomorphism invariance and time and space scale differently. Dynamical metric fields are introduced which, upon linearization over a Minkowski background, correspond to Lorentz-violating mass terms at large distances. We perform a scalar perturbation analysis and we show that with an appropriate choice of parameters, the theory is healthy without ghosts, tachyons, strong coupling problems, and instabilities.

Article Text

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