Effects of a Pre-inflationary de Sitter Bounce on the Primordial Gravitational Waves in $f(R)$ Gravity Theories

Abstract

In this work we examine the effects of a pre-inflationary de Sitter bounce on the energy spectrum of the primordial gravitational waves. Specifically we assume that the Universe is described by several evolution patches, starting with a de Sitter pre-inflationary bounce which is followed by an quasi-de Sitter slow-roll inflationary era, followed by a constant equation of state parameter abnormal reheating era, which is followed by the radiation and matter domination eras and the late-time acceleration eras. The bounce and the inflationary era can be realized by vacuum $f(R)$ gravity and the abnormal reheating and the late-time acceleration eras by the synergy of $f(R)$ gravity and the prefect matter fluids present. Using well-known reconstruction techniques we find which $f(R)$ gravity can realize each evolution patch, except from the matter and radiation domination eras which are realized by the corresponding matter fluids. Accordingly, we calculate the damping factor of the primordial de Sitter bounce, and as we show, the signal can be detected by only one gravitational wave future experiment, in contrast to the case in which the bounce is absent. We discuss in detail the consequences of our results and the future perspectives.

Nuclear Physics B in press. arXiv admin note: text overlap with arXiv:2209.09781

References in corpus (19)

• Inflationary Cosmology
• A Critical Review of Classical Bouncing Cosmologies
• Improved Calculation of the Primordial Gravitational Wave Spectrum in the Standard Model
• Implications of the NANOGrav results for inflation
• Exploring Bouncing Cosmologies with Cosmological Surveys
• Primordial gravitational waves from NANOGrav: a broken power-law approach
• Precision calculations of the gravitational wave background spectrum from inflation
• Sensitivity to a Frequency-Dependent Circular Polarization in an Isotropic Stochastic Gravitational Wave Background
• Prospects for direct detection of primordial gravitational waves
• Relic Gravitational Waves in the Accelerating Universe
• Imprints of Relic Gravitational Waves in Cosmic Microwave Background Radiation
• $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
• Spectrum of Primordial Gravitational Waves in Modified Gravities: A Short Overview
• Primordial Gravitational Waves Predictions for GW170817-compatible Einstein-Gauss-Bonnet Theory
• Pre-Inflationary Bounce Effects on Primordial Gravitational Waves of $f(R)$ Gravity
• Pre-inflationary primordial perturbations
• Bouncing Universe from Nothing
• Cosmology with the Einstein Telescope: No Slip Gravity Model and Redshift Specifications
• $R^2$ Inflation Revisited and Dark Energy Corrections

Cited by in corpus (9)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Inflationary interpretation of the stochastic gravitational wave background signal detected by pulsar timing array experiments
• Inflation, the Hubble Tension and Early Dark Energy: an alternative overview
• Inflationary Potential as seen from Different Angles: Model Compatibility from Multiple CMB Missions
• Questioning the $H_0$ tension via the look-back time
• A critical discussion on the $H_0$ tension
• Tracking the Multifield Dynamics with Cosmological Data: A Monte Carlo approach
• Universe bouncing its way to inflation
• Bouncing cosmologies from Born-Infeld-type gravity