Primordial Cosmology of an Emergent-like Universe from Modified Gravity: Reconstruction and Phenomenology Optimization with a Genetic Algorithm

Abstract

In this work we consider the realization of a variant emergent Universe scenario in the context of $f(R)$ gravity. We use well-known reconstruction techniques existing in the literature, and we find the approximate form of the vacuum $f(R)$ that reproduces the specific variant emergent Universe scale factor in the large curvature approximation. As we show, in the variant emergent Universe scenario, the Hubble horizon shrinks primordially and the Universe undergoes in an accelerated expansion era. In a perturbation theory approach, the scalar and tensor curvature perturbations can be expressed in terms of the phenomenological indices ${\epsilon }_i,i=1,3,4$, usually used for inflationary phenomenology, and we extract the spectral indices for the scalar and tensor perturbations, along with the tensor-to-scalar ratio expressed in terms of the perturbation indices. Using a powerful genetic algorithm we investigate in depth the parameter space of the model, quantified by several free parameters, in order to study the viability of the model when this is compared with the Planck 2018 data. We also investigate the implications of the vacuum $f(R)$ gravity we found on the Big Bang nucleosynthesis.

arXiv commentIJMPD Accepted. arXiv admin note: text overlap with arXiv:2309.04850

References in corpus (49)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Loop Quantum Cosmology: A Status Report
• Sensitivity Studies for Third-Generation Gravitational Wave Observatories
• Possibility of Direct Measurement of the Acceleration of the Universe Using 0.1 Hz Band Laser Interferometer Gravitational Wave Antenna in Space
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Beyond LISA: Exploring Future Gravitational Wave Missions
• Emergent Gravity and the Dark Universe
• Inflationary Cosmology
• The Emergent Universe: inflationary cosmology with no singularity
• Fundamental Physics with the Square Kilometre Array
• Cosmological reconstruction of realistic modified F(R) gravities
• Gravitational Waves From a Dark (Twin) Phase Transition
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• Curing singularities in cosmological evolution of F(R) gravity
• Production and detection of relic gravitons in quintessential inflationary models
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Implications of the NANOGrav results for inflation
• Inflationary interpretation of the stochastic gravitational wave background signal detected by pulsar timing array experiments
• LISA for Cosmologists: Calculating the Signal-to-Noise Ratio for Stochastic and Deterministic Sources
• Gravitational waves constraints on post-inflationary phases stiffer than radiation
• Primordial gravitational waves from NANOGrav: a broken power-law approach
• Sensitivity to a Frequency-Dependent Circular Polarization in an Isotropic Stochastic Gravitational Wave Background
• Unifying of Inflation with Early and Late Dark Energy Epochs in Axion $F(R)$ Gravity
• NANOGrav Signal from the End of Inflation and the LIGO Mass and Heavier Primordial Black Holes
• Axion cold dark matter in non-standard cosmologies
• New models and Big Bang Nucleosynthesis constraints in $f(Q)$ gravity
• Spikes in the Relic Graviton Background from Quintessential Inflation
• Whispers from the dark side: Confronting light new physics with NANOGrav data
• Gravitational Wave and CMB Probes of Axion Kination
• Audible Axions
• Constraining the Solution to the Last Parsec Problem with Pulsar Timing
• Observational test of inflation in loop quantum cosmology
• Consistent Loop Quantum Cosmology
• $R^2$ inflation to probe non-perturbative quantum gravity
• Axion constraints in non-standard thermal histories
• Big Bang Nucleosynthesis constraints on higher-order modified gravities
• More on the Spectrum of Perturbations in String Gas Cosmology
• Inflationary Attractors in $F(R)$ Gravity
• Stochastic gravitational-wave background in quantum gravity
• Non-Gaussianities and tensor-to-scalar ratio in non-local $R^2$-like inflation
• Tensor power spectrum with holonomy corrections in LQC
• Effects of the Axion Through the Higgs Portal on Primordial Gravitational Waves During the Electroweak Breaking
• String Gas Cosmology after Planck
• CFTs Blueshift Tensor Fluctuations Universally
• Raychaudhuri equation in $k$-essence geometry: conditional singular and non-singular cosmological models
• A 1-dimensional hydrodynamic model for accretion, cooling and heating of gas in dark matter halos from $z=6$ to $z=0$
• Creating Spatial Flatness by Combining String Gas Cosmology and Power Law Inflation

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