{"arxiv_id":"astro-ph/0404548","incoming":{"papers":33,"sentences":43,"groups":[{"kind":"comparison","label":"Compares with it","papers":2,"sentences":3,"quotes":[{"arxiv_id":"2302.14480","title":"Evolution of perturbations in a universe with exotic solid-like matter","url":"/paper/2302.14480","section":"Results and conclusion","sentence":"This result is in agreement with the model of solid inflation [ref] with the more general form of the matter Lagrangian $ℒ_m=F(𝒳,𝒴,𝒵)$, where $𝒳$ is defined in the same way as in our paper in ([ref]), and additional quantities are defined as $𝒴=Tr(B^2)/𝒳^2$ and $𝒵=Tr(B^3)/𝒳^3$ with components of the body metric defined as $B^ij=g^μνφ^i_i,μφ^j_j,ν$, so that quantity $𝒳$ is simply trace of the body metric $𝒳=Tr(B)$.","intent_p":0.88,"contests_p":null},{"arxiv_id":"1210.0569","title":"Solid Inflation","url":"/paper/1210.0569","section":"Tensor perturbations","sentence":"We can see that the two point function for tensor modes is blue shifted, which matches the result of [ref] , and which is a distinctive signature of our scenario, unreproducible by more conventional models of inflation.","intent_p":0.88,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":13,"sentences":13,"quotes":[{"arxiv_id":"1905.03544","title":"Inflationary tensor fossils deformed by solid matter -- scalar field interaction","url":"/paper/1905.03544","section":"Introduction","sentence":"Among such models an inflationary model in which consistency relations are broken and with unique prediction for the scalar bispectrum is so called solid inflation [ref] .","intent_p":0.87,"contests_p":null},{"arxiv_id":"2212.12427","title":"Some disquisitions on cosmological 2-form dualities","url":"/paper/2212.12427","section":"Introduction","sentence":"Among these models, we can mention solid cosmologies [ref] (see also the earlier developments [ref] ) that can be described in terms of three scalar fields with an internal $ISO(3)$ symmetry and the homogeneity is achieved as a combination of spatial and internal translations.","intent_p":0.81,"contests_p":null},{"arxiv_id":"1509.02942","title":"Platonic solids back in the sky: Icosahedral inflation","url":"/paper/1509.02942","section":"Solid inflation","sentence":"From an effective field theory standpoint, the mechanical deformations of an homogeneous solid can be described in terms of three scalar fields $ϕ^I(x)$ ($I=1,2,3$) [ref] , whose expectation values in the ground state of the solid are vev ⟨ϕ^I ⟩= x^I and whose Lagrangian is invariant under the shift symmetries ϕ^I →ϕ^I + a^I , a^I = const shift (see also [ref] for alternative approaches.) The $ϕ^I$'s can be regarded as the comoving coordinates of the solid's volume elements.","intent_p":0.83,"contests_p":null},{"arxiv_id":"2403.00533","title":"Gravitational waves in a cyclic Universe: resilience through cycles and vacuum state","url":"/paper/2403.00533","section":"Introduction","sentence":"A long yet not exhaustive list of possibilities include considering modified gravity [ref] , multi-field inflation [ref] , additional (spectator) rolling axion fields [ref] , couplings to axion-gauge or spin-2 fields [ref] , breaking spatial and/or temporal diffeomorphism invariance [ref] , higher curvature corrections to the effective gravitational action [ref] , higher order operators in effective field theory [ref] , violations of the null energy condition [ref] , alternative vacuum state/initial conditions [ref] , sound speed resonances [ref] , inflation in an Universe filled with an elastic medium [ref] , and possible effects/models inspired by quantum gravity [ref] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"2306.16912","title":"Inflationary interpretation of the stochastic gravitational wave background signal detected by pulsar timing array experiments","url":"/paper/2306.16912","section":"Results and discussions","sentence":"Nevertheless, a number of inflationary (and non-inflationary) models leading to a blue spectrum (or more generally significant deviations from the simplest expectations) have been discussed in recent years: with no claims as to completeness, these models include inflationary models based on phantom fields [ref] , modifications to gravity [ref] or non-commutative space-times [ref] , breaking of spatial or temporal diffeomorphism invariance [ref] , violations of the null energy condition [ref] , couplings to axionic, gauge, and spin-2 fields [ref] and particle production [ref] , initial states other than the Bunch-Davies one [ref] , elastic media [ref] , higher order effective gravitational action corrections [ref] , second-order effects [ref] (including those associated to the formation of primordial BHs), sound speed resonance effects [ref] and finite-time singularities [ref] , alternati","intent_p":0.93,"contests_p":null}]}],"unlabelled_sentences":27},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/astro-ph/0404548"}}