R-squared inflation

E730536

R-squared inflation is a cosmological model of the early universe in which a quadratic term in the curvature of spacetime drives a period of accelerated expansion, providing one of the first successful theories of cosmic inflation.

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R-squared inflation canonical 1

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Predicate Object
instanceOf cosmological inflation model
early universe model
theoretical cosmology model
addresses flatness problem
horizon problem
monopole problem
alsoKnownAs Starobinsky inflation NERFINISHED
assumes spatially flat Friedmann–Lemaître–Robertson–Walker metric
basedOn modification of Einstein–Hilbert action
belongsTo ΛCDM plus inflation paradigm
category single-field effective inflation model
compatibleWith Planck satellite data NERFINISHED
cosmic microwave background observations
consistentWith upper bounds on tensor-to-scalar ratio from Planck and BICEP/Keck
describes period of accelerated expansion in the early universe
endsBy graceful exit via scalaron oscillations
energyScale inflation near grand unification scale (order of 10^13 GeV for scalaron mass)
equivalentTo single-field slow-roll inflation with scalaron field
explains origin of large-scale structure from amplified quantum fluctuations
feature inflation driven by gravitational sector rather than matter field
formulatedIn 1980
framework f(R) gravity
modified gravity
includesTerm R^2 term in the gravitational action
quadratic term in the Ricci scalar R
influenced development of f(R) gravity models
subsequent inflationary model building
introduces scalaron as effective inflaton
leadsTo reheating of the universe after inflation
mathematicalForm Einstein–Hilbert action plus R^2 correction term
namedAfter Alexei Starobinsky NERFINISHED
predicts Gaussian primordial perturbations to leading order
low level of primordial gravitational waves
nearly scale-invariant spectrum of scalar perturbations
quasi–de Sitter expansion in the early universe
small tensor-to-scalar ratio
spectral index slightly less than 1
proposedBy Alexei Starobinsky NERFINISHED
publishedIn Physics Letters B NERFINISHED
requires quantum fluctuations of the scalaron field
roleInCosmology one of the first successful inflationary models
prototype of geometrical inflation
testedBy CMB polarization measurements
CMB temperature anisotropy measurements
uses higher-derivative gravity
slow-roll approximation

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Alexei Starobinsky knownFor R-squared inflation