2015
DOI: 10.1088/1475-7516/2015/05/030
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Gravitational waves in bigravity cosmology

Abstract: In this paper we study gravitational wave perturbations in a cosmological setting of bigravity which can reproduce the ΛCDM background and large scale structure. We show that in general gravitational wave perturbations are unstable and only for very fine tuned initial conditions such a cosmology is viable. We quantify this fine tuning. We argue that similar fine tuning is also required in the scalar sector in order to prevent the tensor instability to be induced by second order scalar perturbations. Finally, w… Show more

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Cited by 56 publications
(95 citation statements)
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“…Since then, an extensive amount of work has been done to study the viability of the theories through metric perturbation theory and structure formation studies [e.g. 109,110,111,112,113,114,115,116]. Unfortunately, although the simplest bigravity models are able to provide viable self-accelerating background expansions, all such models suffer from ghost and/or gradient instabilities [117,112,114,118].…”
Section: Gravity In Cosmologymentioning
confidence: 99%
“…Since then, an extensive amount of work has been done to study the viability of the theories through metric perturbation theory and structure formation studies [e.g. 109,110,111,112,113,114,115,116]. Unfortunately, although the simplest bigravity models are able to provide viable self-accelerating background expansions, all such models suffer from ghost and/or gradient instabilities [117,112,114,118].…”
Section: Gravity In Cosmologymentioning
confidence: 99%
“…The evolution of tensor perturbations in this particular class of models has been first studied in [1] and in more detail in [2]. The problem of how cosmological observations are affected by these tensor instabilities and possible ways out are discussed in [50].…”
mentioning
confidence: 99%
“…By fine-tuning the amplitude of the unstable tensor mode to be highly suppressed with respect to the one of the physical sector at the end of inflation, one can achieve that the instability does not show up in the physical metric until today. In [2] this fine-tuning is explicitly quantified. The problem of the viability of the model is therefore translated into the question: is the amplitude of the uncoupled tensor mode after inflation sufficiently suppressed with respect to the one of the graviton coupled to matter?…”
mentioning
confidence: 99%
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“…In particular, the existence of scalar and tensor instabilities [62,63], in particular, branches of the background cosmology will be unconstrained by the measurements discussed in this Letter. Note that we have constrained these bimetric models only using information on the propagation speed of GW, although further constraints can be found from the entire GW waveform.…”
Section: -3mentioning
confidence: 98%