Observational Constraints on the Parameters of Hořava-Lifshitz Gravity

Fuente: arXiv
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Autores principales: Chaudhary, Himanshu, Debnath, Ujjal, Pacif, Shibesh Kumar Jas, Molla, Niyaz Uddin, Mustafa, G., Maurya, S. K.
Formato: Preprint
Publicado: 2024
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author Chaudhary, Himanshu
Debnath, Ujjal
Pacif, Shibesh Kumar Jas
Molla, Niyaz Uddin
Mustafa, G.
Maurya, S. K.
author_facet Chaudhary, Himanshu
Debnath, Ujjal
Pacif, Shibesh Kumar Jas
Molla, Niyaz Uddin
Mustafa, G.
Maurya, S. K.
contents This study investigates the accelerated cosmic expansion within the Hořava-Lifshitz Model. To constrain the cosmological parameters of this model, we incorporate 17 Baryon Acoustic Oscillation points, 31 Cosmic Chronometer points, 40 Type Ia Supernovae points, 24 quasar Hubble diagram points, and 162 Gamma Ray Bursts points, along with the latest Hubble constant measurement (R22). We treat $r_{d}$ as a free parameter to extract $H_{0}$ and $r_{d}$ using late-time datasets, aiming for optimal fitting values in each model. Treating $r_{d}$ as free improves precision, reduces bias, and enhances dataset compatibility. The obtained values of $H_{0}$ and $r_{d}$ are compared to the $Λ$CDM model, showing consistency with previous estimates from Planck and SDSS studies. The Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC) favor the Hořava-Lifshitz model, with the $Λ$CDM model having the lowest AIC. Additionally, we conduct $Δ$AIC and $Δ$BIC analyses to assess model preference.} Validation using the reduced $χ_{red}^{2}$ statistic indicates satisfactory fits for the Hořava-Lifshitz model, while recognizing $Λ$CDM as the preferred model. Extensions of the analysis warrant further investigation.
format Preprint
id arxiv_https___arxiv_org_abs_2402_12324
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Observational Constraints on the Parameters of Hořava-Lifshitz Gravity
Chaudhary, Himanshu
Debnath, Ujjal
Pacif, Shibesh Kumar Jas
Molla, Niyaz Uddin
Mustafa, G.
Maurya, S. K.
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
This study investigates the accelerated cosmic expansion within the Hořava-Lifshitz Model. To constrain the cosmological parameters of this model, we incorporate 17 Baryon Acoustic Oscillation points, 31 Cosmic Chronometer points, 40 Type Ia Supernovae points, 24 quasar Hubble diagram points, and 162 Gamma Ray Bursts points, along with the latest Hubble constant measurement (R22). We treat $r_{d}$ as a free parameter to extract $H_{0}$ and $r_{d}$ using late-time datasets, aiming for optimal fitting values in each model. Treating $r_{d}$ as free improves precision, reduces bias, and enhances dataset compatibility. The obtained values of $H_{0}$ and $r_{d}$ are compared to the $Λ$CDM model, showing consistency with previous estimates from Planck and SDSS studies. The Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC) favor the Hořava-Lifshitz model, with the $Λ$CDM model having the lowest AIC. Additionally, we conduct $Δ$AIC and $Δ$BIC analyses to assess model preference.} Validation using the reduced $χ_{red}^{2}$ statistic indicates satisfactory fits for the Hořava-Lifshitz model, while recognizing $Λ$CDM as the preferred model. Extensions of the analysis warrant further investigation.
title Observational Constraints on the Parameters of Hořava-Lifshitz Gravity
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2402.12324