Work

Translation invariant time-dependent solutions to massive gravity II

Year: 2014

Type: article

Abstract: This paper is a sequel to JCAP 12 (2013) 004 and is also devoted to translation-invariant solutions of ghost-free massive gravity in its moving frame formulation. Here we consider a mass term which is linear in the vielbein (corresponding to a β 3 term in the 4D metric formulation) in addition to the cosmological constant. We determine explicitly the constraints, and from the initial value formulation show that the time-dependent solutions can have singularities at a finite time. Although the constraints give, as in the β 1 case, the correct number of degrees of freedom for a massive spin two field, we show that the lapse function can change sign at a finite time causing a singular time evolution. This is very different to the β 1 case where time evolution is always well defined. We conclude that the β 3 mass term can be pathological and should be treated with care.

Source: Journal of Cosmology and Astroparticle Physics

DOI: 10.1088/1475-7516/2014/06/058

Authors: J. Mourad, D.A. Steer

Institutions: Centre National de la Recherche Scientifique, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Observatoire de Paris, Laboratoire AstroParticule et Cosmologie, Université Paris Diderot

Language: English

Topic: Cosmology and Gravitation Theories

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: CERN, Yukawa Institute for Theoretical Physics, Kyoto University