Higher Curvature Corrections to Primordial Fluctuations in Slow-roll Inflation

Abstract

We study higher curvature corrections to the scalar spectral index, the tensor spectral index, the tensor-to-scalar ratio, and the polarization of gravitational waves. We find that the higher curvature corrections can not be negligible in the dynamics of the scalar field, although they are energetically negligible. Indeed, it turns out that the tensor-to-scalar ratio could be enhanced and the tensor spectral index could be blue due to the Gauss-Bonnet term. We estimate the degree of circular polarization of gravitational waves generated during the slow-roll inflation. We argue that the circular polarization can be observable with the help both of the Gauss-Bonnet and parity violating terms. We also present several examples to reveal observational implications of higher curvature corrections for chaotic inflationary models.

12 pages, 4 figures

References in corpus (11)

• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Probing polarization states of primordial gravitational waves with CMB anisotropies
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Measuring a Parity Violation Signature in the Early Universe via Ground-based Laser Interferometers
• Prospects for direct detection of circular polarization of gravitational-wave background
• Towards inflation and dark energy cosmologies from modified Gauss-Bonnet theory
• On compatibility of string effective action with an accelerating universe
• Realizing Scale-invariant Density Perturbations in Low-energy Effective String Theory
• Low-scale inflation in a model of dark energy and dark matter

Cited by in corpus (105)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The NANOGrav 15-year Data Set: Search for Signals from New Physics
• Taiji Program: Gravitational-Wave Sources
• Inflationary Universe with Anisotropic Hair
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• Swampland Implications of GW170817-compatible Einstein-Gauss-Bonnet Gravity
• Slow-roll inflation with a Gauss-Bonnet correction
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• Parity Violation in Graviton Non-gaussianity
• Inflation coupled to a Gauss-Bonnet term
• Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves
• $f(R)$ Gravity Inflation with String-Corrected Axion Dark Matter
• Waveform of gravitational waves in the general parity-violating gravities
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• Perturbation, Non-Gaussianity and Reheating in a GB-$\alpha$-Attractor Model
• Inflation with Gauss-Bonnet coupling
• Inflationary Phenomenology of Einstein Gauss-Bonnet Gravity Compatible with GW170817
• Blue-tilted inflationary tensor spectrum and reheating in the light of NANOGrav results
• Inflation driven by Einstein-Gauss-Bonnet gravity
• No-Go Theorem for Gauss-Bonnet Inflation without Inflaton Potential
• Measuring chiral gravitational waves in Chern-Simons gravity with CMB bispectra
• Inflation with a quartic potential in the framework of Einstein-Gauss-Bonnet gravity
• Slow-roll Inflation with the Gauss-Bonnet and Chern-Simons Corrections
• Gauss-Bonnet Chern-Simons gravitational wave leptogenesis
• Polarized primordial gravitational waves in the ghost-free parity-violating gravity
• Reconstruction of the Scalar Field Potential in Inflationary Models with a Gauss-Bonnet term
• Reheating in Gauss-Bonnet-coupled inflation
• Aspects of Axion $F(R)$ Gravity
• High-Scale Inflation and the Tensor Tilt
• Primordial black holes and scalar induced gravitational waves from the $E$ model with a Gauss-Bonnet term
• Chaotic inflation in modified gravitational theories
• Propagation of Gravitational Waves in Chern-Simons Axion Einstein Gravity
• Gravitational wave constraints on Lorentz and parity violations in gravity: high-order spatial derivative cases
• Primordial Gravitational Waves from Galaxy Intrinsic Alignments
• Constraints on the Nieh-Yan modified teleparallel gravity with gravitational waves
• Higgs Inflation with a Gauss-Bonnet term in the Jordan Frame
• Gauss-Bonnet term corrections in scalar field cosmology
• Propagating Speed of Primordial Gravitational Waves
• Is there an effect of a nontrivial $c_T$ during inflation?
• Graviton non-Gaussianities and Parity Violation in the EFT of Inflation
• Probing The Early Universe Cosmology With NANOGrav: Possibilities and Limitations
• Chirality of Gravitational Waves in Chern-Simons $f(R)$ Gravity Cosmology
• Anisotropic inflation in Gauss-Bonnet gravity
• Constraints on the Reheating Parameters after Gauss-Bonnet Inflation from the Primordial Gravitational Waves
• CMB from a Gauss-Bonnet-induced de Sitter fixed point
• Pleasant behavior of swampland conjectures in the face of specific inflationary models
• Testing parity symmetry of gravity with gravitational waves
• A Study of an Einstein Gauss-Bonnet Quintessential Inflationary Model
• Cosmological perturbations in Gauss-Bonnet quasi-dilaton massive gravity
• Primordial Spectra of slow-roll inflation at second-order with the Gauss-Bonnet correction
• Generating enhanced parity-violating gravitational waves during inflation with violation of the null energy condition
• Polarized primordial gravitational waves in spatial covariant gravities
• Chern-Simons modified gravity and closed time-like curves
• Chirality oscillation of primordial gravitational waves during inflation
• Higher-Curvature Corrections and Tensor Modes
• Primordial massive gravitational waves from Einstein-Chern-Simons-Weyl gravity
• Black holes in Gauss-Bonnet and Chern-Simons-scalar theory
• Primordial black holes from Higgs inflation with a Gauss-Bonnet coupling
• Clifton's spherical solution in f(R) vacuo harbours a naked singularity
• Slow-Roll Inflation with Exponential Potential in Scalar-Tensor Models
• Chiral primordial blue tensor spectra from the axion-gauge couplings
• Gravitational leptogenesis with kination and gravitational reheating
• Gravitational Wave Probe of High Supersymmetry Breaking Scale
• Parity Violating Non-Gaussianity from Axion-Gauge Field Dynamics
• Early Universe with modified scalar-tensor theory of gravity
• Study of Goldstone Inflation in the domain of Einstein-Gauss-Bonnet gravity
• Slow-Roll Inflation in Scalar-Tensor Models
• Parity-violation in bouncing cosmology
• Revisiting slow-roll dynamics and the tensor tilt in general single-field inflation
• Primordial power spectrum at N3LO in effective theories of inflation
• A new approach to exact solutions construction in scalar cosmology with a Gauss-Bonnet term
• History of cosmic evolution with modified Gauss-Bonnet-dilatonic coupled term
• Early universe in view of a modified theory of gravity
• Multifluid cosmology in f (G) gravity
• WIMPs in Dilatonic Einstein Gauss-Bonnet Cosmology
• Inflationary Dynamics of Mutated Hilltop Inflation in Einstein-Gauss-Bonnet Gravity Under New Slow-Roll Approximations with Generalised Reheating
• Parity violation in primordial tensor non-Gaussianities from matter bounce cosmology
• Global Portraits of Nonminimal Inflation: Metric and Palatini
• Chiral primordial gravitational waves in extended theories of Scalar-Tensor gravity
• Inflationary Dynamics in Einstein-Gauss-Bonnet Gravity Using New Slow-Roll Approximations considering Generalised Reheating
• Power Spectra of Slow-Roll inflation in the consistent $D\to 4$ Einstein-Gauss-Bonnet gravity
• Inflation with Gauss-Bonnet and Chern-Simons higher-curvature-corrections in the view of GW170817
• Probing the early universe with a generalized action
• Deviation from Slow-Roll Regime in the EGB Inflationary Models with $r\sim N_e^{-1}$
• Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity
• Effective Field Theory of Chiral Gravitational Waves
• Higgs Inflation with linear and quadratic curvature corrections
• Inflation and cosmological evolution with $F(R,G)$ gravity theory
• Circularly polarized gravitational waves in Chern-Simons gravity originated from an axion domain wall
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation
• Inflaton in R-dependent potential
• Gauss-Bonnet Cosmology: large-temperature behaviour and bounds from Gravitational Waves
• k-Gauss-Bonnet inflation
• Gauss-Bonnet-induced symmetry breaking/restoration during inflation
• Sound Speed Resonance of Gravitational Waves in Gauss-Bonnet-coupled inflation
• Observable predictions of generalised inflationary scenarios
• Implications of pulsar timing arrays for Gauss-Bonnet Inflation
• On the coupling of vector fields to the Gauss-Bonnet invariant
• Parity violation in photon quasinormal modes of black holes
• Inflation with the Gauss-Bonnet term in the Palatini formulation
• Beyond $f(\varphi )\mathcal{G}$: Gauss--Bonnet inflation with $\mu (\varphi ,X)$
• Unifying an asymmetric bounce to the dark energy in Chern-Simons F(R) gravity
• Conflict between some higher-order curvature invariant terms
• Measuring the speed of scalar induced gravitational waves from observations