Constant-Roll Inflation in modified $f(R,\varphi )$ gravity model using Palatini Formalism

Abstract

In this work, we study a constant-roll inflationary model in the Palatini formalism using modified gravity. Here our action consists a non-minimal coupling of a scalar field $\varphi$ with Ricci scalar $R$ in a general form of $f(R,\varphi )$. Using Palatini approach, we write its equivalent scalar-tensor form in the Einstein frame and then apply the constant-roll condition in the equation of motion for the inflaton field. Later the tensor-to-scalar ratio and the spectral index are calculated using the slow-roll parameters and the results obtained are matched with the Planck 2018 data. We found that the results agree nicely with the observations within the parameter regime under consideration.

arXiv comment13 Pages and 10 Figures

References in corpus (80)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• f(R) theories
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• On the Generation of a Scale-Invariant Spectrum of Adiabatic Fluctuations in Cosmological Models with a Contracting Phase
• f(R) Gravity and scalar-tensor theory
• Duality Invariance of Cosmological Perturbation Spectra
• Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
• Metric-affine f(R) theories of gravity
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• Inflation with a constant rate of roll
• Higgs-Palatini Inflation and Unitarity
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• Cosmological perturbations in a generalized gravity including tachyonic condensation
• Ultra slow-roll inflation demystified
• Improved Estimates of Cosmological Perturbations
• Alternatives to Cosmological Inflation
• Higgs inflation with loop corrections in the Palatini formulation
• Inflation and the Theory of Cosmological Perturbations
• Palatini inflation in models with an $R^2$ term
• Preheating in Palatini Higgs inflation
• Anisotropy in a Nonsingular Bounce
• $f(R)$ constant-roll inflation
• Reheating in $R^2$ Palatini inflationary models
• Inflationary spectra in generalized gravity: Unified forms
• The Palatini side of inflationary attractors
• Constant-roll inflation: confrontation with recent observational data
• Palatini versus metric formulation in higher curvature gravity
• Inflationary $\alpha$-attractors from $F(R)$ Gravity
• Minimal Higgs inflation with an $R^2$ term in Palatini gravity
• Quantum corrections to quartic inflation with a non-minimal coupling: metric vs. Palatini
• Coleman-Weinberg linear inflation: metric vs. Palatini formulation
• Rescuing Quartic and Natural Inflation in the Palatini Formalism
• On the constant-roll inflation
• The attractive behaviour of ultra-slow-roll inflation
• Dynamically induced Planck scale and inflation in the Palatini formulation
• Higgs inflation in the Palatini formulation with kinetic terms for the metric
• Hidden Inflaton Dark Matter
• New universal attractor in nonmininally coupled gravity: Linear inflation
• Inflationary Perturbations in Palatini Generalised Gravity
• Quantum Effects in Palatini Higgs Inflation
• Constant roll and primordial black holes
• Palatini quadratic gravity: spontaneous breaking of gauged scale symmetry and inflation
• Tracing the high energy theory of gravity: an introduction to Palatini inflation
• Palatini-Higgs inflation with non-minimal derivative coupling
• Scale-Invariant Quadratic Gravity and Inflation in the Palatini Formalism
• Systematics of Constant Roll Inflation
• Palatini frames in scalar-tensor theories of gravity
• Reheating in Constant-roll $F(R)$ Gravity
• Big Bounce cosmology for Palatini $R^2$ gravity with a Nieh-Yan term
• Constant-roll inflation in scalar-tensor gravity
• Inflationary dynamics and preheating of the non-minimally coupled inflaton field in the metric and Palatini formalisms
• New perspectives on constant-roll inflation
• Starobinsky cosmological model in Palatini formalism
• Coupling Metric-Affine Gravity to a Higgs-Like Scalar Field
• Reheating in Models with Non-minimal Coupling in metric and Palatini formalisms
• Palatini $R^2$ Quintessential Inflation
• Cosmic acceleration from modified gravity with Palatini formalism
• Constant-roll in the Palatini-$R^2$ models
• Hillclimbing inflation in metric and Palatini formulations
• Slow-roll inflation in Palatini $F(R)$ gravity
• Constant roll inflation in multifield models
• Constant-roll $k$-Inflation Dynamics
• Quadratic, Higgs and hilltop potentials in the Palatini gravity
• A minimal model of inflation and dark radiation
• Inflation and Reheating in f(R,h) theory formulated in the Palatini formalism
• f(R) Gravities à la Brans-Dicke
• Non-metric chaotic inflation
• Post-inflationary phases stiffer than radiation and Palatini formulation
• Extended interactions in the Palatini-$R^2$ inflation
• Primordial power spectrum from a matter-Ekpyrotic bounce scenario in loop quantum cosmology
• Imprints of Anisotropy on the Power Spectrum in Matter Dominated Bouncing Universe as Background
• Bouncing Cosmologies

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• Coupling Metric-Affine Gravity to the Standard Model and Dark Matter Fermions
• Testing scale-invariant inflation against cosmological data
• Observable Primordial Gravitational Waves from Non-minimally Coupled $R^2$ Palatini Modified Gravity
• Analytical Insights into Constant-Roll Condition: Extending the Paradigm to Non-Canonical Models
• Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole
• Constant-roll inflation and primordial black holes within Barrow entropic framework
• Cosmic inflation in metric-affine gravity
• Inflation from a generalized exponential plateau: towards extra suppressed tensor-to-scalar ratios